The generalized \(f\)-projection operator and set-valued variational inequalities in Banach spaces

DOI10.1016/j.na.2009.01.082zbMath1217.47108OpenAlexW2094766986MaRDI QIDQ923902

Ke-Qing Wu, Nan-Jing Huang

Publication date: 24 July 2009

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2009.01.082

zbMATH Keywords

variational inequalityset-valued mappingKKM theoremgeneralized \(f\)-projection operatorKakutani-Fan-Glicksberg fixed point theorem

Mathematics Subject Classification ID

Variational inequalities (49J40) Set-valued operators (47H04) Variational and other types of inclusions (47J22)

Related Items

A strong convergence theorem for relatively nonexpansive mappings and equilibrium problems in Banach spaces, Strong convergence theorems for relatively nonexpansive mappings in Banach spaces with applications, Existence theorems for generalized set-valued mixed (quasi-)variational inequalities in Banach spaces, The proximal point algorithm for pseudomonotone variational inequalities on Hadamard manifolds, A generalized \(f\)-projection algorithm for inverse mixed variational inequalities, A new projection-type method for solving multi-valued mixed variational inequalities without monotonicity, Projection methods for a system of nonlinear mixed variational inequalities in Banach spaces, Strong convergence of an inexact projected subgradient method for mixed variational inequalities, Global dynamical systems involving generalized \(f\)-projection operators and set-valued perturbation in Banach spaces, Projection algorithms for the system of generalized mixed variational inequalities in Banach spaces, Existence result and error bounds for a new class of inverse mixed quasi-variational inequalities, A new class of generalizedf-projected dynamical system in Banach spaces, Error Bounds for Inverse Mixed Quasi-Variational Inequality via Generalized Residual Gap Functions

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