Publikationen

Bücher

R. I. Boţ (2010) - Conjugate Duality in Convex Optimization, Lecture Notes in Economics and Mathematical Systems, Vol. 637, Springer-Verlag Berlin Heidelberg
R. I. Boţ, S. M. Grad, G. Wanka (2009) - Duality in Vector Optimization, Springer-Verlag Berlin Heidelberg

Artikel in Zeitschriften

R. I. Boţ, S. M. Grad - Approaching the Maximal Monotonicity of Bifunctions via Representative Functions, erscheint in Journal of Convex Analysis (PDF)
R. I. Boţ, T. Hein - Iterative Regularization with General Penalty Term -- Theory and Application to L¹- and TV-Regularization, erscheint in Inverse Problems (PDF)
R. I. Boţ, E. R. Csetnek - Error Bound Results for Convex Inequality Systems via Conjugate Duality, erscheint in TOP (PDF)

2012

R. I. Boţ, E. R. Csetnek (2012) - On Some Erroneous Statements in the Paper "Optimality Conditions for Extended Ky Fan Inequality with Cone and Affine Constraints and Their Applications" by A. Capătă, Journal of Optimization Theory and Applications 153(2), 546-550 (PDF)
R. I. Boţ, S. László (2012) - On the Generalized Parallel Sum of Two Maximal Monotone Operators of Gossez Type (D), Journal of Mathematical Analysis and Applications 391(1), 82-98 (PDF)
R. I. Boţ, E. R. Csetnek (2012) - Regularity Conditions via Generalized Interiority Notions in Convex Optimization: New Achievements and Their Relation to Some Classical Statements, Optimization 61(1), 35-65 (PDF)
R. I. Boţ, S. M. Grad, G. Wanka (2012) - Classical Linear Vector Optimization Duality Revisited, Optimization Letters 6(1), 199-210 (PDF)
R. I. Boţ (2012) - An Upper Estimate for the Clarke Subdifferential of an Infimal Value Function Proved Via the Mordukhovich Subdifferential, Nonlinear Analysis: Theory, Methods & Applications 75(3), 1141-1146 (PDF)

2011

R. I. Boţ, S. M. Grad (2011) - Duality for Vector Optimization Problems via a General Scalarization, Optimization 60(10-11), 1269-1290 (PDF)
R. I. Boţ, A. R. Frătean (2011) - Looking for Appropriate Qualification Conditions for Subdifferential Formulae and Dual Representations for Convex Risk Measures, Mathematical Methods of Operations Research 74(2), 191-215 (PDF)
R. I. Boţ, S. M. Grad (2011) - On Linear Vector Optimization Duality in Infinite-Dimensional Spaces, Numerical Algebra, Control and Optimization 1(3), 407-415 (PDF)
R. I. Boţ, N. Lorenz (2011) - Optimization Problems in Statistical Learning: Duality and Optimality Conditions, European Journal of Operational Research 213(2), 395-404 (PDF)
R. I. Boţ, D. M. Nechita (2011) - On the Dini-Hadamard Subdifferential of the Difference of Two Functions, Journal of Global Optimization 50(3), 485-502 (PDF)
R. I. Boţ, S. M. Grad (2011) - Extending the Classical Vector Wolfe and Mond-Weir Duality Concepts via Perturbations, Journal of Nonlinear and Convex Analysis 12(1), 81-101 (PDF)
R. I. Boţ, S. M. Grad (2011) - Closedness Type Regularity Conditions for Surjectivity Results Involving the Sum of Two Maximal Monotone Operators, Central European Journal of Mathematics 9(1), 162-172 (PDF)

2010

R. I. Boţ, E. R. Csetnek (2010) - On a Zero Duality Gap Result in Extended Monotropic Programming, Journal of Optimization Theory and Applications 147(3), 473-482 (PDF)
R. I. Boţ, B. Hofmann (2010) - An Extension of the Variational Inequality Approach for Obtaining Convergence Rates in Regularization of Nonlinear Ill-Posed Problems, Journal of Integral Equations and Applications 22(3), 369-392 (PDF)
R. I. Boţ, S. M. Grad (2010) - Wolfe Duality and Mond-Weir Duality via Perturbations, Nonlinear Analysis: Theory, Methods & Applications 73(2), 374-384 (PDF)
R. I. Boţ, E. R. Csetnek (2010) - On Extension Results for n-Cyclically Monotone Operators in Reflexive Banach Spaces, Journal of Mathematical Analysis and Applications 367(2), 693-698 (PDF)
R. I. Boţ, N. Lorenz, G. Wanka (2010) - Dual Representations for Convex Risk Measures via Conjugate Duality, Journal of the Optimization Theory and Applications 144(2), 185-203 (PDF)
R. I. Boţ, A. Löhne (2010) - On Totally Fenchel Unstable Functions in Finite Dimensional Spaces, Mathematical Programming 123(1), 25-31 (PDF)
R. I. Boţ, A. E. Capătă (2010) - Existence Results and Gap Functions for the Generalized Equilibrium Problem with Composed Functions, Nonlinear Analysis: Theory, Methods & Applications 72(1), 316-324 (PDF)
R. I. Boţ, S. M. Grad (2010) - Lower Semicontinuous Type Regularity Conditions for Subdifferential Calculus, Optimization Methods and Software 25(1), 37-48 (PDF)
R. I. Boţ, N. Lorenz, G. Wanka (2010) - Duality for Linear Chance-Constrained Optimization Problems, Journal of the Korean Mathematical Society 47(1), 17-28 (PDF)

2009

R. I. Boţ, S. M. Grad, G. Wanka (2009) - Generalized Moreau-Rockafellar Results for Composed Convex Functions, Optimization 58(7), 917-933 (PDF)
R. I. Boţ, E. R. Csetnek (2009) - On Two Properties of Enlargements of Maximal Monotone Operators, Journal of Convex Analysis 16(3-4), 713-725 (PDF)
R. I. Boţ, A. Dumitru, G. Wanka (2009) - A New Fenchel Dual Problem in Vector Optimization, Proceedings of the Indian Academy of Sciences - Mathematical Sciences 119 (2), 251-265 (PDF)
R. I. Boţ, E. R. Csetnek (2009) - Enlargements of Positive Sets, Journal of Mathematical Analysis and Applications 356(1), 328-337 (PDF)
R. I. Boţ, N. Lorenz, G. Wanka (2009) - Optimality Conditions for Portfolio Optimization Problems with Convex Deviation Measures as Objective Functions, Taiwanese Journal of Mathematics 13(2A), 515-533 (PDF)
R. I. Boţ, S. M. Grad, G. Wanka (2009) - New Regularity Conditions for Lagrange and Fenchel-Lagrange Duality in Infinite Dimensional Spaces, Mathematical Inequalities & Applications 12(1), 171-189 (PDF)
R. I. Boţ, E. R. Csetnek (2009) - On an Open Problem Regarding Totally Fenchel Unstable Functions, Proceedings of the American Mathematical Society 137(5), 1801-1805 (PDF)

2008

R. I. Boţ, S. M. Grad (2008) - Regularity Conditions for Formulae of Biconjugate Functions, Taiwanese Journal of Mathematics 12(8), 1921-1942 (PDF)
R. I. Boţ, E. R. Csetnek, G. Wanka (2008) - On Some Abstract Convexity Notions in Real Linear Spaces, Mathematical Inequalities & Applications 11(3), 571-583 (PDF)
R. I. Boţ, E. R. Csetnek (2008) - An Application of the Bivariate Inf-Convolution Formula to Enlargements of Monotone Operators, Set-Valued Analysis 16(7-8), 983-997 (PDF)
R. I. Boţ, G. Kassay, G. Wanka (2008) - Duality for Almost Convex Optimization Problems via the Perturbation Approach, Journal of Global Optimization 42(3), 385-399 (PDF)
R. I. Boţ, A. Grad, G. Wanka (2008) - Sequential Characterization of Solutions in Convex Composite Programming and Applications to Vector Optimizatioin, Journal of Industrial and Management Optimization 4(4), 767-782 (PDF)
R. I. Boţ, E. R. Csetnek, A. Moldovan (2008) - Revisiting Some Duality Theorems via the Quasirelative Interior in Convex Optimization, Journal of Optimization Theory and Applications 139(1), 67-84 (PDF)
R. I. Boţ, I. B. Hodrea, G. Wanka (2008) - ε - Optimality Conditions for Composed Convex Optimization Problems, Journal of Approximation Theory 153(1), 108-121 (PDF)
R. I. Boţ, I. B. Hodrea, G. Wanka (2008) - Optimality Conditions for Weak Efficiency to Vector Optimization Problems with Composed Convex Functions, Central European Journal of Mathematics 6(3), 453-468 (PDF)
R. I. Boţ, G. Wanka (2008) - The Conjugate of the Pointwise Maximum of Two Convex Functions Revisited, Journal of Global Optimization 41(4), 625-632 (PDF)
I. Costantea, R. I. Boţ, G. Wanka (2008) - Patent Document Classification Based on Mutual Information Feature Selection, Italian Journal of Pure and Applied Mathematics 23, 121-136 (PDF)
R. I. Boţ, S. M. Grad, G. Wanka (2008) - New Regularity Conditions for Strong and Total Fenchel-Lagrange Duality in Infinite Dimensional Spaces, Nonlinear Analysis: Theory, Methods & Applications 69(1), 323-336 (PDF)
R. I. Boţ, S. M. Grad, G. Wanka (2008) - A New Constraint Qualification for the Formula of the Subdifferential of Composed Convex Functions in Infinite Dimensional Spaces, Mathematische Nachrichten 281(8), 1-20 (PDF)
R. I. Boţ, E. R. Csetnek, G. Wanka (2008) - Regularity Conditions via Quasi-Relative Interior in Convex Programming, SIAM Journal on Optimization 19(1), 217-233 (PDF)
R. I. Boţ, E. R. Csetnek, G. Wanka (2008) - Sequential Optimality Conditions for Composed Convex Optimization Problems, Journal of Mathematical Analysis and Applications 342(2), 1015-1025 (PDF)
R. I. Boţ, E. R. Csetnek, G. Wanka (2008)- Sequential Optimality Conditions in Convex Programming via Perturbation Approach, Journal of Convex Analysis 15(1), 149-164 (PDF)
R. I. Boţ, S. M. Grad, G. Wanka (2008) - On Strong and Total Lagrange Duality for Convex Optimization Problems, Journal of Mathematical Analysis and Applications 337(2), 1315-1325 (PDF)

2007

R. I. Boţ, I. B. Hodrea, G. Wanka (2007) - Some New Farkas-Type Results for Inequality Systems with DC Functions, Journal of Global Optimization 59(4), 595-608 (PDF)
R. I. Boţ, S. M. Grad, G. Wanka (2007) - A New Constraint Qualification and Conjugate Duality for Composed Convex Optimization Problems, Journal of Optimization Theory and Applications 135(2), 241-255 (PDF)
L. Altangerel, R. I. Boţ, G. Wanka (2007) - Variational Principles for Vector Equilibrium Problems Related to Conjugate Duality, Journal of Nonlinear and Convex Analysis 8(2), 179-196 (PDF)
R. I. Boţ, R. Chares, G. Wanka (2007) - Comparison Between Different Duals in Multiobjective Fractional Programming, Central European Journal of Mathematics 5(3), 425-469 (PDF)
G. Wanka, R. I. Boţ, E. Vargyas (2007) - Conjugate Duality for Multiobjective Composed Optimization Problems, Acta Mathematica Hungarica 116(3), 177-196 (PDF)
G. Wanka, R. I. Boţ, E. Vargyas (2007) - On the Relations between Different Duals Assigned to Composed Optimization Problems, Mathematical Methods of Operations Research (ZOR) 66(1), 47-68 (PDF)
R. I. Boţ, S. M. Grad, G. Wanka (2007) - Fenchel's Duality Theorem for Nearly Convex Functions, Journal of Optimization Theory and Applications 132(3), 509-515 (PDF)
R. I. Boţ, E. R. Csetnek, G. Wanka (2007) - A New Condition for Maximal Monotonicity via Representative Functions, Nonlinear Analysis: Theory, Methods & Applications 67(8), 2390-2402 (PDF)
L. Altangerel, R. I. Boţ, G. Wanka (2007) - On the Construction of Gap Functions for Variational Inequalities via Conjugate Duality, Asia-Pacific Journal of Operational Research 24(3), 353-371 (PDF)
R. I. Boţ, S. M. Grad, G. Wanka (2007) - A General Approach for Studying Duality in Multiobjective Optimization, Mathematical Methods of Operations Research (ZOR) 65(3), 417-444 (PDF)
R. I. Boţ, I. B. Hodrea, G. Wanka (2007) - Farkas-Type Results for Fractional Programming Problems, Nonlinear Analysis: Theory, Methods & Applications 67(6), 1690-1703 (PDF)
R. I. Boţ, S. M. Grad, G. Wanka (2007) - Weaker Constraint Qualifications in Maximal Monotonicity, Numerical Functional Analysis and Optimization 28(1 & 2), 27-41 (PDF)
L. Altangerel, R. I. Boţ, G. Wanka (2007) - Conjugate Duality in Vector Optimization and Some Applications to the Vector Variational Inequality, Journal of Mathematical Analysis and Applications 329(2), 1010-1035 (PDF)
R. I. Boţ, S. M. Grad, G. Wanka (2007) - Maximal Monotonicity for the Precomposition with a Linear Operator, SIAM Journal on Optimization 17(4), 1239-1252 (PDF)
G. Wanka, R. I. Boţ, E. Vargyas (2007) - Duality for Location Problems with Unbounded Unit Balls, European Journal of Operational Research 179(3), 1252-1265 (PDF)

2006

R. I. Boţ, R. Chares, G. Wanka (2006) - Duality for Multiobjective Fractional Programming Problems, Nonlinear Analysis Forum 11(2), 185-201 (PDF)
R. I. Boţ, G. Wanka (2006) - Farkas-Type Results for Max-Functions and Applications, Positivity 10(4), 761-777 (PDF)
L. Altangerel, R. I. Boţ, G. Wanka (2006) - On Gap Functions for Equilibrium Problems via Fenchel Duality, Pacific Journal of Optimization 2(3), 667-678 (PDF)
R. I. Boţ, S. M. Grad, G. Wanka (2006) - Fenchel-Lagrange Versus Geometric Duality in Convex Optimization, Journal of Optimization Theory and Applications 129(1), 33-54 (PDF)
I. B. Hodrea, R. I. Boţ, G. Wanka (2006) - The Rose–Gurewitz–Fox Approach Applied for Patents Classification, European Journal of Operational Research 173(3), 815-826 (PDF)
R. I. Boţ, I. B. Hodrea, G. Wanka (2006) - Farkas-Type Results for Inequality Systems with Composed Convex Functions Via Conjugate Duality, Journal of Mathematical Analysis and Applications 322(1), 316-328 (PDF)
R. I. Boţ, G. Wanka (2006) - A Weaker Regularity Condition for Subdifferential Calculus and Fenchel Duality in Infinite Dimensional Spaces, Nonlinear Analysis: Theory, Methods & Applications 64(12), 2787-2804 (PDF)
R. I. Boţ, G. Wanka (2006) - An Alternative Formulation for a New Closed Cone Constraint Qualification, Nonlinear Analysis: Theory, Methods & Applications 64(6), 1367-1381 (PDF)
R. I. Boţ, G. Wanka (2006) - Duality for Multiobjective Optimization Problems with Convex Objective Functions and D.C. Constraints, Journal of Mathematical Analysis and Applications 315(2), 526-543 (PDF)

2005

A. Moldovan, R. I. Boţ, G. Wanka (2005) - Latent Semantic Indexing for Patent Documents, International Journal of Applied Mathematics and Computer Science 15(4), 551-560 (PDF)
R. I. Boţ, G. Kassay, G. Wanka (2005) - Strong Duality for Generalized Convex Optimization Problems, Journal of Optimization Theory and Applications 127(1), 45-70 (PDF)
R. I. Boţ, S. M. Grad, G. Wanka (2005) - Duality for Optimization Problems with Entropy-Like Objective Functions, Journal of Optimization & Information Sciences 26(2), 415-441 (PDF)
R. I. Boţ, G. Wanka (2005) - Farkas-Type Results With Conjugate Functions, SIAM Journal on Optimization 15(2), 540-554 (PDF)

2004

R. I. Boţ, S. M. Grad, G. Wanka (2004)- Entropy Constrained Programs and Geometric Duality obtained via Fenchel-Lagrange Duality Approach, Nonlinear Analysis Forum 9(1), 65-85 (PDF)
R. I. Boţ, G. Wanka (2004)- An Analysis of Some Dual Problems in Multiobjective Optimization (II), Optimization 53(3), 301-324 (PDF)
R. I. Boţ, G. Wanka (2004)- An Analysis of Some Dual Problems in Multiobjective Optimization (I), Optimization 53(3), 281-300 (PDF)

2003

L. Altangerel, R. I. Boţ, G. Wanka (2003) - Duality for Convex Partially Separable Optimization Problems, Mongolian Mathematical Journal 7, 1-18 (PDF)
G. Wanka, R. I. Boţ, S. M. Grad (2003) - Multiobjective Duality for Convex Semidefinite Programming Problems, Zeitschrift für Analysis und ihre Anwendungen (Journal for Analysis and its Applications) 22(3), 711-728 (PDF)

2002

G. Wanka, R. I. Boţ (2002) - Multiobjective Duality for Convex Ratios, Journal of Mathematical Analysis and Applications 275(1), 354-368 (PDF)
G. Wanka, R. I. Boţ (2002)- A New Duality Approach for Multiobjective Convex Optimization Problems, Journal of Nonlinear and Convex Analysis 3(1), 41-57 (PDF)

2001

G. Wanka, R. I. Boţ (2001) - Multiobjective Duality for Convex-Linear Problems II, Mathematical Methods of Operations Research 53(3), 419-433 (PDF)

Artikel in Proceedings

2011

R. I. Boţ, E. R. Csetnek (2011) - A Comparison of Some Recent Regularity Conditions for Fenchel Duality, in: H. H. Bauschke, R. S. Burachik, P. L. Combettes, V. Elser, D. R. Luke, H. Wolkowicz (Eds.), "Fixed-Point Algorithms for Inverse Problems in Science and Engineering", Springer Optimization and Its Applications, Springer-Verlag New York (PDF)

2007

R. I. Boţ, S. M. Grad, G. Wanka (2007) - Brézis-Haraux-Type Approximation in Nonreflexive Banach Spaces, in: E. Allevi, M. Bertocchi, A. Gnudi, I. V. Konnov (Eds.), "Nonlinear Analysis with Applications in Economics, Energy and Transportation", Bergamo University Press, Bergamo, 155-170 (PDF)
R. I. Boţ, S. M. Grad, G. Wanka (2007) - A New Regularity Condition for Subdifferential Calculus and Fenchel Duality in Infinite Dimensional Spaces. Applications for Maximal Monotone Operators, in: Seminario "Mario Volpato" 3, Dipartimento di Matematica Applicata, Università' Ca' Foscari Venezia, 16-30 (PDF)
R. I. Boţ, I. B. Hodrea, G. Wanka (2007) - On Some General Farkas-Type Results and their Applications, in: Seminario "Mario Volpato" 3, Dipartimento di Matematica Applicata, Università' Ca' Foscari Venezia, 1-15 (PDF)
R. I. Boţ, S. M. Grad, G. Wanka (2007) - Almost Convex Functions: Conjugacy and Duality, in: I. V. Konnov, D. T. Luc, A. M. Rubinov (Eds.), "Generalized Convexity and Related Topics", Lecture Notes in Economics and Mathematical Systems, Springer Verlag, Berlin Heidelberg, 101-114 (PDF)

2006

R. I. Boţ, S. M. Grad, G. Wanka (2006) - Brézis-Haraux-Type Approximation of the Range of a Monotone Operator Composed with a Linear Mapping, in: Z. Kása, G. Kassay, J. Kolumbán (Eds.), "Proceedings of the International Conference In Memoriam Gyula Farkas", Cluj University Press, Cluj-Napoca, 36-49 (PDF)
R. I. Boţ, I. B. Hodrea, G. Wanka (2006) - Composed Convex Programming: Duality and Farkas-Type Results, in: Z. Kása, G. Kassay, J. Kolumbán (Eds.), "Proceedings of the International Conference In Memoriam Gyula Farkas", Cluj University Press, Cluj-Napoca, 22-35 (PDF)

2003

G. Wanka, R. I. Boţ, E. Vargyas (2003) - Duality for the Multiobjective Location Model involving Sets as Existing Facilities, in: P. M. Pardalos, I. Tseveendorj, R. Enkhbat (Eds.), "Optimization and Optimal Control", World Scientific, New Jersey, 307-333 (PDF)
R. I. Boţ, G. Wanka (2003) - Duality for Composed Convex Functions with Applications in Location Theory, in: W. Habenicht, B. Scheubrein, R. Scheubrein (Eds.), "Multi-Criteria- und Fuzzy-Systeme in Theorie und Praxis", Deutscher Universitäts-Verlag, Wiesbaden, 1-18 (PDF)
R. I. Boţ, S. M. Grad, G. Wanka (2003) - Maximum Entropy Optimization for Text Classification Problems, in: W. Habenicht, B. Scheubrein, R. Scheubein (Eds.), "Multi-Criteria- und Fuzzy-Systeme in Theorie und Praxis", Deutscher Universitäts-Verlag, Wiesbaden, 247-260 (PDF)

2002

G. Wanka, R. I. Boţ (2002) - On the Relations between Different Dual Problems in Convex Mathematical Programming, in: P. Chamoni, R. Leisten, A. Martin, J. Minnermann, H. Stadtler (Eds.), "Operations Research Proceedings 2001", Springer Verlag, Berlin, 255-262 (PDF)

2000

G. Wanka, R. I. Boţ (2000) - Multiobjective Duality for Convex-Linear Problems, in: K. Inderfurth, G. Schwödiauer, W. Domschke, F. Juhnke, P. Kleinschmidt, G. Wäscher (Eds.), "Operations Research Proceedings 1999", Springer Verlag, Berlin, 36-40 (PDF)

Weitere Arbeiten

R. I. Boţ (2003) - Duality and Optimality in Multiobjective Optimization, Dissertation, Technische Universität Chemnitz (PDF)
R. I. Boţ (1999) - The Fenchel Duality in Set-Valued Optimization, Masterarbeit, ''Babeş-Bolyai''-Universität Cluj-Napoca (PDF)
R. I. Boţ (1998) - Dualitatea Problemelor de Optimizare Convexă, Diplomarbeit, ''Babeş-Bolyai''-Universität Cluj-Napoca (in Rumänisch) (PDF)