Existence and iterative approximations of solutions for mixed quasi-variational-like inequalities in Banach spaces

DOI10.1016/j.na.2007.09.015zbMath1182.47048OpenAlexW2081383669MaRDI QIDQ955634

Zhengsheng Chen, Ume, Jeong Sheok, Liu, Zeqing, Kang, Shin Min

Publication date: 20 November 2008

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.2007.09.015

zbMATH Keywords

iterative algorithmKKM theoremauxiliary principle techniquerelaxed cocoercive mappingcocoercive mappingstrongly monotone mappingmixed quasi-variational-like inequalitypartially relaxed monotone mapping

Mathematics Subject Classification ID

Variational and other types of inequalities involving nonlinear operators (general) (47J20) Variational inequalities (49J40) Iterative procedures involving nonlinear operators (47J25)

Related Items (9)

The auxiliary principle and an algorithm for a system of generalized set-valued mixed variational-like inequality problems in Banach spaces ⋮ Auxiliary principle and algorithm of solutions for a new system of generalized mixed equilibrium problems in Banach spaces ⋮ Perturbed algorithms for solving nonlinear relaxed cocoercive operator equations with general \(A\)-monotone operators in Banach spaces ⋮ On solvability of a generalized nonlinear variational-like inequality ⋮ Existence and iterative approximation of solutions of generalized mixed quasi-variational-like inequality problem in Banach spaces ⋮ Perturbed Mann iterative method with errors for a new system of generalized nonlinear variational-like inclusions ⋮ Solvability and algorithms of generalized nonlinear variational-like inequalities in reflexive Banach spaces ⋮ Mixed variational-like inequality for fuzzy mappings in reflexive Banach spaces ⋮ Auxiliary principle for generalized strongly nonlinear mixed variational-like inequalities

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