Construction of a common element for the set of solutions of fixed point problems and generalized equilibrium problems in Hilbert spaces

Publication date: 9 January 2017

Published in: Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica (Search for Journal in Brave)

zbMATH Keywords

fixed point variational inequality problem equilibrium problem inverse strongly monotone mapping strict pseudo-contraction shrinking projection method

Mathematics Subject Classification ID

Monotone operators and generalizations (47H05) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)

Cites Work

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Mosco convergence results for common fixed point problems and generalized equilibrium problems in Banach spaces
General iterative methods for generalized equilibrium problems and fixed point problems of \(k\)-strict pseudo-contractions
Hybrid algorithm for finding common elements of the set of generalized equilibrium problems and the set of fixed point problems of strictly pseudocontractive mapping
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A generalization of Tychonoff's fixed point theorem
Weak and strong convergence theorems for strict pseudo-contractions in Hilbert spaces
Strong convergence theorem for a generalized equilibrium problem and a nonexpansive mapping in a Hilbert space
Proximal methods for a class of bilevel monotone equilibrium problems
On the existence of solutions to vector quasivariational inequalities and quasicomplementarity problems with applications to traffic network equilibria
Convergence criteria of iterative methods based on Landweber iteration for solving nonlinear problems
Hybrid projection algorithms for generalized equilibrium problems and strictly pseudocontractive mappings
New second-order optimality conditions for vector equilibrium problems with constraints in terms of contingent derivatives
On generalized equilibrium problems and strictly pseudocontractive mappings in Hilbert spaces
Strong convergence by the shrinking effect of two half-spaces and applications
Construction of fixed points of nonlinear mappings in Hilbert space
Fixed Point Methods for Solving Solutions of a Generalized Equilibrium Problem
On Projection Algorithms for Solving Convex Feasibility Problems

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