Results 11 to 20 of about 137 (132)
Open Mathematics, 2022 In this paper, we study the problem of finding a common solution of the pseudomonotone variational inequality problem and fixed point problem for demicontractive mappings.
Uzor Victor Amarachi +2 more
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A new elementary proof for M-stationarity under MPCC-GCQ for mathematical programs with complementarity constraints [PDF]
Journal of Nonsmooth Analysis and Optimization, 2021 It is known in the literature that local minimizers of mathematical programs with complementarity constraints (MPCCs) are so-called M-stationary points, if a weak MPCC-tailored Guignard constraint qualification (called MPCC-GCQ) holds.
Felix Harder
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On implicit variables in optimization theory [PDF]
Journal of Nonsmooth Analysis and Optimization, 2021 Implicit variables of a mathematical program are variables which do not need to be optimized but are used to model feasibility conditions. They frequently appear in several different problem classes of optimization theory comprising bilevel programming ...
Matúš Benko, Patrick Mehlitz
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Relations between Abs-Normal NLPs and MPCCs. Part 2: Weak Constraint Qualifications [PDF]
Journal of Nonsmooth Analysis and Optimization, 2021 This work continues an ongoing effort to compare non-smooth optimization problems in abs-normal form to Mathematical Programs with Complementarity Constraints (MPCCs).
Lisa C. Hegerhorst-Schultchen +2 more
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Well-posedness for bilevel vector equilibrium problems with variable domination structures
Open Mathematics, 2023 In this article, well-posedness for two types of bilevel vector equilibrium problems with variable domination structures are introduced and studied. With the help of cosmically upper continuity or Hausdorff upper semi-continuity for variable domination ...
Xu Yu-ping +3 more
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Open Mathematics, 2023 In this article, we study a class of pseudomonotone split variational inequality problems (VIPs) with non-Lipschitz operator. We propose a new inertial extragradient method with self-adaptive step sizes for finding the solution to the aforementioned ...
Owolabi Abd-Semii Oluwatosin-Enitan +2 more
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M-matrix and inverse M-matrix extensions
Special Matrices, 2020 A class of matrices that simultaneously generalizes the M-matrices and the inverse M-matrices is brought forward and its properties are reviewed. It is interesting to see how this class bridges the properties of the matrices it generalizes and provides a
McDonald J.J. +6 more
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On the solution of NP-hard linear complementarity problems [PDF]
, 2002 mathematical programming, complementarity, global optimization, enumerative algorithms, 90C33, 65K10,
Isabel Martins Ribeiro +8 more
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Least Change Secant Update Methods for Nonlinear Complementarity Problem
Ingeniería y Ciencia, 2015 In this work, we introduce a family of Least Change Secant Update Methods for solving Nonlinear Complementarity Problems based on its reformulation as a nonsmooth system using the one-parametric class of nonlinear complementarity functions introduced by ...
Favián Arenas A +2 more
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Demonstratio Mathematica, 2020 In this work, we introduce two new inertial-type algorithms for solving variational inequality problems (VIPs) with monotone and Lipschitz continuous mappings in real Hilbert spaces.
Alakoya Timilehin Opeyemi +2 more
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