# Preprints

### [since 1997]

arXiv:1806.00260
**S. Bitterlich, R.I. Boţ, E.R. Csetnek, G. Wanka** -
*The Proximal Alternating Minimization Algorithm for two-block separable convex optimization problems with linear constraints*

2017-05 **G. Wanka, O. Wilfer** - *Formulae of Epigraphical Projection for Solving Minimax Location Problems
*

2016-06 **G. Wanka, O. Wilfer** - *Multifacility minimax location problems via multi-composed optimization
*

2016-05 **G. Wanka, O. Wilfer** - *Duality results for extended multifacility location problems
*

2016-04 **S.-M. Grad, G. Wanka, O. Wilfer** - *Duality and epsilon-optimality conditions for multi-composed optimization problems with applications to
fractional and entropy optimization*

2016-02 **G. Wanka, O. Wilfer** - *Duality results for nonlinear single minimax location problems via multi-composed optimization*

2015-13 **G. Wanka, O. Wilfer** - *A Lagrange duality approach for multi-composed optimization problems*

arXiv:1403.3330
**R.I. Boţ, E.R. Csetnek, C. Hendrich** -
*Inertial Douglas-Rachford splitting for monotone inclusion problems*

arXiv:1306.3191
**R.I. Boţ, C. Hendrich** -
*An algorithm for solving monotone inclusions involving parallel sums of linearly composed maximally monotone operators*

arXiv:1306.0352
**R.I. Boţ, E.R. Csetnek** -
*Forward-Backward and Tseng's Type Penalty Schemes for Monotone Inclusion Problems*

arXiv:1304.7694
**R.I. Boţ, C. Hendrich** - *Convex risk minimization via proximal splitting methods*

2013-06 **R.I. Boţ, E.R. Csetnek, E. Nagy** - *Solving systems of monotone inclusions via primal-dual splitting techniques *

arXiv:1303.2875
**R.I. Boţ, E.R. Csetnek, A. Heinrich** -
*On the convergence rate improvement of a primal-dual splitting algorithm for solving monotone inclusion problems*

2013-01 **R.I. Boţ, B. Hofmann** - *The impact of a curious type of smoothness conditions on convergence rates in l ^{1}-regularization*

arXiv:1212.0326

**R.I. Boţ, C. Hendrich**-

*A Douglas-Rachford type primal-dual method for solving inclusions with mixtures of composite and parallel-sum type monotone operators*

arXiv:1211.1706

**R.I. Boţ, C. Hendrich**-

*Convergence analysis for a primal-dual monotone + skew splitting algorithm with applications to total variation minimization*

arXiv:1207.3254

**R.I. Boţ, C. Hendrich**-

*A variable smoothing algorithm for solving convex optimization problems*

2012-17

**S.-M. Grad, E.L. Pop**-

*Vector duality for convex vector optimization problems with respect to quasi-minimality*

2012-16

**S.-M. Grad, E.L. Pop**-

*Alternative generalized Wolfe type and Mond-Weir type vector duality*

2012-15

**H.-V. Boncea, S.-M. Grad**-

*Characterizations of ε-duality gap statements for composed optimization problems*

2012-14

**H.-V. Boncea, S.-M. Grad**-

*Characterizations of ε-duality gap statements for constrained optimization problems*

arXiv:1206.5953

**R.I. Boţ, E.R. Csetnek, A. Heinrich**-

*A primal-dual splitting algorithm for finding zeros of sums of maximally monotone operators*

arXiv:1205.0721

**R.I. Boţ, C. Hendrich**-

*On the acceleration of the double smoothing technique for unconstrained convex optimization problems*

arXiv:1203.2070

**R.I. Boţ, C. Hendrich**-

*A double smoothing technique for solving unconstrained nondifferentiable convex optimization problems*

2012-01

**N. Lorenz, G. Wanka**-

*The subdifferential of convex deviation measures and risk functions*

arXiv:1110.4877

**H.H. Bauschke, R.I. Boţ, W.L. Hare, W.M. Moursi**-

*Attouch-Théra duality revisited: paramonotonicity and operator splitting*

2011-18

**L. Altangerel, G. Wanka, O. Wilfer**-

*An oriented distance function application to gap functions for vector variational inequalities*

2011-17

**R.I. Boţ, B. Hofmann, P. Mathé**-

*Regularizability of ill-posed problems and the modulus of continuity*

2011-15

**R.I. Boţ, A. Heinrich; G. Wanka**-

*Employing different loss functions for the classification of images via supervised learning*

2011-14

**R.I. Boţ, T. Hein**-

*Iterative regularization with general penalty term - theory and application to L1- and TV-regularization*

arXiv:1106.2069

**R.I. Boţ, S.C. László**-

*On the generalized parallel sum of two maximal monotone operators of Gossez type (D)*

arXiv:1105.5550

**R.I. Boţ, S.-M. Grad**-

*Approaching the maximal monotonicity of bifunctions via representative functions*

2011-01

**N. Lorenz, G. Wanka**-

*Scalar and vector optimization with composed objective functions and constraints*

arXiv:1007.3652

**R.I. Boţ, S.-M. Grad**-

*Closedness type regularity conditions for surjectivity results involving the sum of two maximal monotone operators*

arXiv:1007.1776

**R.I. Boţ, E.R. Csetnek**-

*Error bound results for convex inequality systems via conjugate duality*

arXiv:1005.2487

**R.I. Boţ, A.-R. Frătean**-

*Looking for appropriate qualification conditions for subdifferential formulae and dual representations for convex risk measures*

arXiv:1005.1151

**R.I. Boţ, S.-M. Grad, G. Wanka**-

*Classical linear vector optimization duality revisited*

arXiv:1004.3136

**R.I. Boţ, D.-M. Nechita**-

*On the Dini-Hadamard subdifferential of the difference of two functions*

arXiv:1002.3272

**R.I. Boţ, E.R. Csetnek**-

*On a zero duality gap result in extended monotropic programming*

arXiv:0912.0609

**R.I. Boţ, E.R. Csetnek**-

*On extension results for n-cyclically monotone operators in reflexive Banach spaces*

arXiv:0906.0453

**R.I. Boţ, B. Hofmann**-

*An extension of the variational inequality approach for nonlinear ill-posed problems*

arXiv:0906.5093

**R.I. Boţ, E.R. Csetnek**-

*Regularity conditions via generalized interiority notions in convex optimization: new achievements and their relation to some classical statements*

arXiv:0811.4341

**R.I. Boţ, E.R. Csetnek**-

*Enlargements of positive sets*

2008-08

**N. Lorenz**-

*Optimization problems in statistical learning: duality and optimality conditions*

2008-03

**R.I. Boţ, E.R. Csetnek**-

*Weak regularity conditions for maximal monotonicity in general Banach spaces*

2008-02

**R.I. Boţ, E.R. Csetnek**-

*On an open problem regarding totally Fenchel unstable functions*

2008-01

**R.I. Boţ, A. Löhne**-

*On totally Fenchel unstable functions in finite dimensional spaces*, Reports on Optimization and Stochastics, Martin-Luther-Universität Halle-Wittenberg

2007-26

**L. Altangerel, G. Wanka**-

*Gap functions for vector equilibrium problems via conjugate duality*

2007-22

**R.I. Boţ, A. Grad, G. Wanka**-

*Sequential characterization of some efficient solutions in vector optimization*

2007-16

**R.I. Boţ, S.-M. Grad, G. Wanka**-

*Generalized Moreau-Rockafellar results for composed convex functions*

2007-15

**R.I. Boţ, I.B. Hodrea, G. Wanka**-

*ε-optimality conditions for composed convex optimization problems*

2007-14

**R.I. Boţ, N. Lorenz, G. Wanka**-

*Chance-constrained optimization problems and applications*

2007-12

**R.I. Boţ, E.R. Csetnek, G. Wanka**-

*Sequential optimality conditions for composed convex optimization problems*

2007-09

**R.I. Boţ, S.-M. Grad, G. Wanka**-

*New regularity conditions for strong and total Fenchel-Lagrange duality in infinite dimensional spaces*

2007-08

**R.I. Boţ, E.R. Csetnek, G. Wanka**-

*Regularity conditions via quasi-relative interior in convex programming*

2007-06

**R.I. Boţ, G. Kassay G. Wanka**-

*Duality for almost convex optimization problems via the perturbation approach*

2007-04

**R.I. Boţ, N. Lorenz, G. Wanka**-

*Optimality conditions for portfolio optimization problems with convex deviation measures as objective functions*

2007-03

**R.I. Boţ, S.-M. Grad, G. Wanka**-

*New regularity conditions for strong and total Lagrange duality*

2006-23

**R.I. Boţ, E.R. Csetnek, G. Wanka**-

*Sequential optimality conditions in convex programming via perturbation approach*

2006-21

**R.I. Boţ, I.B. Hodrea, G. Wanka**-

*Optimality conditions for weak efficiency to vector optimization problems with composed convex functions*

2006-19

**R.I. Boţ, N. Lorenz, G. Wanka**-

*Some formulas for the conjugate of convex risk measures*

2006-18

**R.I. Boţ, A. Dumitru, G. Wanka**-

*A new Fenchel dual problem in vector optimization*

2006-14

**R.I. Boţ, R. Chares, G. Wanka**-

*Comparison between different duals in multiobjective fractional programming*

2006-13

**R.I. Boţ, S.-M. Grad, G. Wanka**-

*New regularity conditions for Lagrange and Fenchel-Lagrange duality in infinite dimensional spaces*

2006-12

**R.I. Boţ, R. Chares, G. Wanka**-

*Duality for multiobjective fractional programming problems*

2006-11

**R.I. Boţ, I.B. Hodrea, G. Wanka**-

*Farkas-type results for fractional programming problems*

2006-08

**R.I. Boţ, E.R. Csetnek, G. Wanka**-

*Some new regularity conditions for Fenchel duality in real linear spaces*

2006-07

**R.I. Boţ, E.R. Csetnek, G. Wanka**-

*On some abstract convexity notions in real linear spaces*

2006-04

**L. Altangerel, R.I. Boţ, G. Wanka**-

*Conjugate duality in vector optimization and some applications to the vector variational inequality*

2006-03

**L. Altangerel, R.I. Boţ, G. Wanka**-

*Variational principles for vector equilibrium problems related to conjugate duality*

2005-15

**R.I. Boţ, S.-M. Grad, G. Wanka**-

*Almost convex functions: conjugacy and duality*

2005-14

**R.I. Boţ, S.-M. Grad, G. Wanka**-

*Weaker constraint qualifications in maximal monotonicity*

2005-13

**R.I. Boţ, S.-M. Grad, G. Wanka**-

*Fenchel's duality theorem for nearly convex functions*

2005-11

**R.I. Boţ, S.-M. Grad, G. Wanka**-

*A new constraint qualification for the formula of the subdifferential of composed convex functions in infinite diminesional spaces*

2005-10

**R.I. Boţ, S.-M. Grad, G. Wanka**-

*Maximal monotonicity for the precomposition with a linear operator*

2005-08

**L. Altangerel, R.I. Boţ, G. Wanka**-

*On gap functions for equilibrium problems*

2005-07

**R.I. Boţ, I.B. Hodrea, G. Wanka**-

*Farkas-type results for inequality systems with composed convex functions via conjugate duality*

2005-04

**R.I. Boţ, I.B. Hodrea, G. Wanka**-

*Some new Farkas-type results for inequality systems with DC functions*

2005-02

**R.I. Boţ, S.-M. Grad, G. Wanka**-

*Fenchel-Lagrange versus geometric duality in convex optimization*

2005-01

**L. Altangerel, R.I. Boţ, G. Wanka**-

*On the construction of gap functions for variational inequalities via conjugate duality*

2004-21

**R.I. Boţ, G. Wanka**-

*A weaker regularity condition for subdifferential calculus and Fenchel duality in infinite dimensional spaces*

2004-20

**R.I. Boţ, G. Wanka**-

*An alternative formulation for a new closed cone constraint qualification*

2004-16

**R.I. Boţ, G. Wanka**-

*Farkas-type results for max-functions and applications*

2004-15

**R.I. Boţ, S.-M. Grad, G. Wanka**-

*A new constraint qualification and conjugate duality for composed convex optimization problems*

2004-14

**I.B. Hodrea, R.I. Boţ, G. Wanka**-

*The Rose-Gurewitz-Fox approach applied for patents classification*

2004-12

**A. Moldovan, R.I. Boţ, G. Wanka**-

*Latent semantic indexing for patent documents*

2004-11

**I. Costantea, R.I. Boţ, G. Wanka**-

*Patent document classification based on mutual information feature selection*

2002-12

**R.I. Boţ, G. Kassay G. Wanka**-

*Strong duality for generalized convex optimization problems*

2001-06

**R.I. Boţ, G. Wanka**-

*A new duality approach for multiobjective convex optimization problems*

1998-26

**G. Wanka**-

*Multiobjective duality for the Markowitz portfolio optimization problem*

1998-14

**U. Krallert; G. Wanka**-

*Duality for optimal control-approximation problems with gauges*

1998-05

**G. Wanka**-

*A new theorem of the alternative - a location approach*

1997-27

**U. Krallert; G. Wanka**-

*Efficiency in seminorm location problems*

1997-24

**G. Wanka**-

*Multiobjective control-approximation problems - duality and optimality*

All preprints of the faculty for mathematics are available here.