Results 11 to 20 of about 145 (134)

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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Reducing the complexity of equilibrium problems and applications to best approximation problems [PDF]

, 2023
We consider the scalar equilibrium problems governed by a bifunction in a finite-dimensional framework and we characterize the solutions by means of extreme or exposed points.
FODOR, Valerian-Alin, POPOVICI, †Nicolae   +1 more
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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, Christian Kirches, Marc C. Steinbach   +2 more
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Strong convergence of a self-adaptive inertial Tseng's extragradient method for pseudomonotone variational inequalities and fixed point problems

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, Alakoya Timilehin Opeyemi, Mewomo Oluwatosin Temitope   +2 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, Joaquim Júdice, Joaquim J. Júdice, Ana M. Faustino, Faustino, Ana, Ana Faustino, Ribeiro, Isabel, Isabel Ribeiro, Júdice, Joaquim   +8 more
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Continuity and maximal quasimonotonicity of normal cone operators [PDF]

, 2022
In this paper, we study some properties of the adjusted normal cone operator of quasiconvex functions. In particular, we introduce a new notion of maximal quasimotonicity for set-valued maps different from similar ones recently appeared in literature ...
BIANCHI, Monica, PINI, Rita, HADJISAVVAS, Nicolas   +2 more
core   +1 more source

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, H J Martínez, Rosana Pérez   +2 more
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Two modifications of the inertial Tseng extragradient method with self-adaptive step size for solving monotone variational inequality problems

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, Jolaoso Lateef Olakunle, Mewomo Oluwatosin Temitope   +2 more
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A self-adaptive Tseng extragradient method for solving monotone variational inequality and fixed point problems in Banach spaces

Demonstratio Mathematica, 2021
In this paper, we introduce a self-adaptive projection method for finding a common element in the solution set of variational inequalities (VIs) and fixed point set for relatively nonexpansive mappings in 2-uniformly convex and uniformly smooth real ...
Jolaoso Lateef Olakunle
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