An equilibrium version of set-valued Ekeland variational principle and its applications to set-valued vector equilibrium problems
Sign Up to like & getrecommendations! Published in 2017 at "Acta Mathematica Sinica, English Series"
DOI: 10.1007/s10114-016-6184-x
Abstract: By using Gerstewitz functions, we establish a new equilibrium version of Ekeland variational principle, which improves the related results by weakening both the lower boundedness and the lower semi-continuity of the objective bimaps. Applying the… read more here.
Keywords: version; equilibrium; set valued; vector equilibrium ... See more keywords
An Augmented Lagrangian method for quasi-equilibrium problems
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DOI: 10.1007/s10589-020-00180-4
Abstract: In this paper, we propose an Augmented Lagrangian algorithm for solving a general class of possible non-convex problems called quasi-equilibrium problems (QEPs). We define an Augmented Lagrangian bifunction associated with QEPs, introduce a secondary QEP… read more here.
Keywords: lagrangian method; method quasi; augmented lagrangian; equilibrium problems ... See more keywords
Brezis pseudomonotone bifunctions and quasi equilibrium problems via penalization
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DOI: 10.1007/s10898-021-01088-x
Abstract: In this paper we investigate quasi equilibrium problems in a real Banach space under the assumption of Brezis pseudomonotonicity of the function involved. To establish existence results under weak coercivity conditions we replace the quasi… read more here.
Keywords: bifunctions quasi; equilibrium; brezis pseudomonotone; equilibrium problems ... See more keywords
Existence Results for Mixed Equilibrium Problems Involving Set-Valued Operators with Applications to Quasi-Hemivariational Inequalities
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DOI: 10.1007/s10957-019-01629-1
Abstract: In this paper, we study the existence of solutions for mixed equilibrium problems associated with a set-valued operator in the general setting of vector spaces in duality, and in particular in Banach spaces. We use… read more here.
Keywords: quasi hemivariational; existence; mixed equilibrium; set valued ... See more keywords
Convergence analysis of a new algorithm for strongly pseudomontone equilibrium problems
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DOI: 10.1007/s11075-017-0350-9
Abstract: The paper introduces and analyzes the convergence of a new iterative algorithm for approximating solutions of equilibrium problems involving strongly pseudomonotone and Lipschitz-type bifunctions in Hilbert spaces. The algorithm uses a stepsize sequence which is… read more here.
Keywords: algorithm; convergence analysis; new algorithm; equilibrium problems ... See more keywords
Sensitivity analysis for set-valued equilibrium problems
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DOI: 10.1007/s11117-020-00748-8
Abstract: In the paper, we mention a parametrized vector equilibrium problem via sum of two given set-valued maps, considered as a unified model of some problems in variational analysis and optimization. Then, we study sensitivity analysis… read more here.
Keywords: analysis; valued equilibrium; set valued; sensitivity analysis ... See more keywords
Vectorial Ekeland variational principle for systems of equilibrium problems and its applications
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DOI: 10.1007/s11425-015-9005-4
Abstract: For a family of vector-valued bifunctions, we introduce the notion of sequentially lower monotonity, which is strictly weaker than the lower semi-continuity of the second variables of the bifunctions. Then, we give a general version… read more here.
Keywords: vectorial ekeland; sequentially lower; ekeland variational; systems equilibrium ... See more keywords
A note on existence of weak efficient solutions for vector equilibrium problems
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DOI: 10.1007/s11590-018-1242-1
Abstract: This work concerns with vector equilibrium problems where the image space of the bifunction is not endowed with any topology. To be precise, a kind of “semi-algebraic” upper semicontinuity notion is introduced and, by means… read more here.
Keywords: existence weak; weak efficient; efficient solutions; note existence ... See more keywords
New projection methods for equilibrium problems over fixed point sets
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DOI: 10.1007/s11590-020-01625-9
Abstract: In this paper, we introduce some new approximation projection algorithms for solving monotone equilibrium problems over the intersection of fixed point sets of demicontractive mappings. By combining subgradient projection methods and hybrid steepest descent methods,… read more here.
Keywords: projection methods; projection; equilibrium problems; point sets ... See more keywords
A proximal method for equilibrium problems under growth conditions
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DOI: 10.1007/s13370-016-0474-4
Abstract: Inspired by some growth conditions used in convex and nonconvex optimization and given a bifunction defined on a nonempty closed subset of a real Hilbert space, we design a Proximal Point Method for finding its… read more here.
Keywords: problems growth; method equilibrium; growth conditions; equilibrium problems ... See more keywords
Gradient projection-type algorithms for solving equilibrium problems and its applications
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DOI: 10.1007/s40314-019-0894-5
Abstract: In this paper, we study strongly pseudo-monotone equilibrium problems in real Hilbert and introduce two simple subgradient-type methods for solving it. The advantages of our schemes are the simplicity of their algorithmic structure which consists… read more here.
Keywords: projection type; equilibrium; equilibrium problems; gradient projection ... See more keywords