Results 1 to 10 of about 542 (96)
Quadratic convergence of monotone iterates for semilinear elliptic obstacle problems [PDF]
Journal of Inequalities and Applications, 2017 In this paper, we consider the numerical solution for the discretization of semilinear elliptic complementarity problems. A monotone algorithm is established based on the upper and lower solutions of the problem.
Jinping Zeng, Haowen Chen, Hongru Xu
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A primal-dual approach of weak vector equilibrium problems
Open Mathematics, 2018 In this paper we provide some new sufficient conditions that ensure the existence of the solution of a weak vector equilibrium problem in Hausdorff topological vector spaces ordered by a cone.
László Szilárd
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The exactness of the ℓ1 penalty function for a class of mathematical programs with generalized complementarity constraints [PDF]
Fundamental ResearchIn a mathematical program with generalized complementarity constraints (MPGCC), complementarity relation is imposed between each pair of variable blocks.
Yukuan Hu, Xin Liu
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Demonstratio Mathematica, 2021 In this paper, we introduce a shrinking projection method of an inertial type with self-adaptive step size for finding a common element of the set of solutions of a split generalized equilibrium problem and the set of common fixed points of a countable ...
Olona Musa A. +3 more
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On the convergence of two-step modulus-based matrix splitting iteration method
Open Mathematics, 2021 In this paper, based on the relationship between the linear complementarity problem and its reformulated fixed-point equation, we discuss the conditions of the modulus-based type iteration methods. Moreover, we present some convergence results on the two-
Fang Ximing, Fu Shouzhong, Gu Ze
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Relations between Abs-Normal NLPs and MPCCs. Part 1: Strong Constraint Qualifications [PDF]
Journal of Nonsmooth Analysis and Optimization, 2021 This work is part of an ongoing effort of comparing non-smooth optimization problems in abs-normal form to MPCCs. We study the general abs-normal NLP with equality and inequality constraints in relation to an equivalent MPCC reformulation.
Lisa C. Hegerhorst-Schultchen +2 more
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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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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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