On inexact Tikhonov and proximal point regularization methods for pseudomonotone equilibrium problems

zbMath1286.49010MaRDI QIDQ2446148

Pham Gia Hung, Le Dung Muu

Publication date: 16 April 2014

Published in: Vietnam Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: http://www.math.ac.vn/publications/vjm/VJM_40/255-274.htm

zbMATH Keywords

proximal point methodpseudomonotone equilibrium probleminexact Tikhonov methodmultivalued pseudomonotone variational inequality

Mathematics Subject Classification ID

Variational inequalities (49J40) Monotone operators and generalizations (47H05) Set-valued and variational analysis (49J53) Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming) (90C33) Set-valued operators (47H04)

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Iterative regularization methods for solving equilibrium problems ⋮ Regularization extragradient methods for equilibrium programming in Hilbert spaces ⋮ Iterative methods for a generalized equilibrium problem and a nonexpansive multi-valued mapping ⋮ An algorithm to solve equilibrium problems and fixed points problems involving a finite family of multivalued strictly pseudo-contractive mappings ⋮ Abstract regularized equilibria: application to Becker's household behavior theory ⋮ Regularization iterative method of bilevel form for equilibrium problems in Hilbert spaces ⋮ Strongly convergent algorithms by using new adaptive regularization parameter for equilibrium problems ⋮ On inexact versions of a quasi-equilibrium problem: a Cournot duopoly perspective ⋮ Equilibrium programming and new iterative methods in Hilbert spaces

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