A method for a solution of equilibrium problem and fixed point problem of a nonexpansive semigroup in Hilbert's spaces

DOI10.1155/2011/208434zbMath1215.47079OpenAlexW2022008738WikidataQ59267090 ScholiaQ59267090MaRDI QIDQ536847

Nguyen Buong, Nguyen Dinh Duong

Publication date: 19 May 2011

Published in: Fixed Point Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/233780

zbMATH Keywords

fixed pointsequilibrium problemnonexpansive semigroupviscosity approximation method

Mathematics Subject Classification ID

Semigroups of nonlinear operators (47H20) Iterative procedures involving nonlinear operators (47J25) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)

Related Items

Strong convergence theorem for nonexpansive semigroups and systems of equilibrium problems, Viscosity approximation methods for pseudo-contractive semigroups in Banach spaces

Cites Work

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• On viscosity iterative methods for variational inequalities
• Convergence to common fixed point of nonexpansive semigroups
• Viscosity approximation methods for equilibrium problems and fixed point problems in Hilbert spaces
• Fixed-point solutions of variational inequalities for nonexpansive semigroups in Hilbert spaces
• Viscosity approximation methods for equilibrium problems and fixed point problems of nonlinear semigroups
• Strong convergence to common fixed points of families of nonexpansive mappings
• An iterative approach to quadratic optimization
• \(D\)-gap functions and descent methods for a class of monotone equilibrium problems
• Gap functions for equilibrium problems
• Equilibrium programming: Proximal methods
• Descent methods for equilibrium problems in a Banach space
• Strong convergence of Krasnoselskii and Mann's type sequences for one-parameter nonexpansive semigroups without Bochner integrals
• Viscosity approximation methods for fixed-points problems
• Strong convergence of the CQ method for fixed point iteration processes
• Common fixed points for commuting contraction mappings
• FIXED-POINT THEOREMS FOR NONCOMPACT MAPPINGS IN HILBERT SPACE