Existence of solutions and an algorithm for mixed variational-like inequalities in Banach spaces

DOI10.1007/s10957-005-6540-yzbMath1113.49011OpenAlexW2078347162MaRDI QIDQ850819

Xie Ping Ding

Publication date: 6 November 2006

Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10957-005-6540-y

zbMATH Keywords

iterative algorithmsreflexive Banach spacesminimax inequalitiesauxiliary variational inequalitiesMixed variational-like inequalities

Mathematics Subject Classification ID

Related Items (13)

Iterative algorithm for solutions to new system of generalized mixed implicit equilibrium ⋮ The auxiliary principle and an algorithm for a system of generalized set-valued mixed variational-like inequality problems in Banach spaces ⋮ Existence and algorithm of solutions for a system of generalized mixed implicit equilibrium problems in Banach spaces ⋮ Auxiliary principle and algorithm of solutions for a new system of generalized mixed equilibrium problems in Banach spaces ⋮ Auxiliary principle and approximation solvability for system of new generalized mixed equilibrium problems in reflexive Banach spaces ⋮ Auxiliary principle and iterative algorithm for a new system of generalized mixed equilibrium problems in Banach spaces ⋮ On a system of generalized mixed equilibrium problems involving variational-like inequalities in Banach spaces: existence and algorithmic aspects ⋮ Existence and algorithms for bilevel generalized mixed equilibrium problems in Banach spaces ⋮ Bilevel generalized mixed equilibrium problems involving generalized mixed variational-like inequality problems in reflexive Banach spaces ⋮ Auxiliary principle for a system of generalized set-valued nonlinear mixed variational-like inequalities in Banach spaces ⋮ Existence and iterative algorithm of solutions for a system of generalized set-valued strongly nonlinear mixed variational-like inequalities problems in Banach spaces ⋮ Existence and algorithms for the bilevel new generalized mixed equilibrium problems in Banach spaces ⋮ Behavior of solution set for bilevel generalized mixed equilibrium problems in topological vector spaces

Cites Work

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• Further applications of a splitting algorithm to decomposition in variational inequalities and convex programming
• A variational-like inequality problem
• Some remarks on variational-like and quasivariational-like inequalities
• General algorithm of random solutions for random nonlinear variational inequalities in banach Spaces^*
• Iterative schemes for solving mixed variational-like inequalities

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