On generalized equilibrium problems and strictly pseudocontractive mappings in Hilbert spaces

DOI10.1186/1687-1812-2014-145zbMath1326.47083OpenAlexW2142542886WikidataQ59323482 ScholiaQ59323482MaRDI QIDQ2264141

Xiao-Yan Ma, ChunYan Huang

Publication date: 20 March 2015

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

Full work available at URL: https://doi.org/10.1186/1687-1812-2014-145

zbMATH Keywords

strong convergencevariational inequalitynonexpansive mappingequilibrium probleminverse-strongly monotone mappingstrictly pseudocontractive mappingmean iterative algorithm

Mathematics Subject Classification ID

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

Related Items (4)

Unnamed Item ⋮ Unnamed Item ⋮ Construction of a common element for the set of solutions of fixed point problems and generalized equilibrium problems in Hilbert spaces ⋮ Convergence analysis for split hierachical monotone variational inclusion problem in Hilbert spaces

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the strong convergence of an iterative process for asymptotically strict pseudocontractions and equilibrium problems
• Iterative algorithms for common elements in fixed point sets and zero point sets with applications
• Strong convergence of a hybrid projection iterative algorithm for common solutions of operator equations and of inclusion problems
• Iterative processes for common fixed points of two different families of mappings with applications
• Convergence analysis of an iterative algorithm for monotone operators
• On the regularity of retarded equilibria in time-dependent traffic equilibrium problems
• An extragradient-type method for generalized equilibrium problems involving strictly pseudocontractive mappings
• Iterative algorithms for variational inequality and equilibrium problems with applications
• Variational formulation for a general dynamic financial equilibrium problem: balance law and liability formula
• Convergence theorems of fixed points for \(\kappa \)-strict pseudo-contractions in Hilbert spaces
• Weak and strong convergence theorems for a nonexpansive mapping and an equilibrium problem
• Weak and strong convergence theorems for countable Lipschitzian mappings and its applications
• Strong convergence of shrinking projection methods for quasi-nonexpansive mappings and equilibrium problems
• Weak convergence theorems for nonexpansive mappings and monotone mappings
• Strong convergence theorems by hybrid projection methods for equilibrium problems and fixed point problems of the asymptotically quasi-\(\phi\)-nonexpansive mappings
• Approximation of common solutions of variational inequalities via strict pseudocontractions
• Strong convergence of a splitting algorithm for treating monotone operators
• Iterative methods for strict pseudo-contractions in Hilbert spaces
• Construction of fixed points of nonlinear mappings in Hilbert space
• Shrinking Projection Methods for a Pair of Asymptotically Quasi-φ-Nonexpansive Mappings
• STRONG CONVERGENCE OF AN EXTENDED EXTRAGRADIENT METHOD FOR EQUILIBRIUM PROBLEMS AND FIXED POINT PROBLEMS
• Weak and strong convergence to fixed points of asymptotically nonexpansive mappings
• A unified treatment of some iterative algorithms in signal processing and image reconstruction
• Weak convergence of the sequence of successive approximations for nonexpansive mappings
• On the Maximality of Sums of Nonlinear Monotone Operators

This page was built for publication: On generalized equilibrium problems and strictly pseudocontractive mappings in Hilbert spaces