Existence theorems for variational inequalities in Banach spaces

DOI10.1007/s10957-006-9139-zzbMath1149.49015OpenAlexW1969559790MaRDI QIDQ933811

B. E. Eshmatov

Publication date: 25 July 2008

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

Full work available at URL: https://doi.org/10.1007/s10957-006-9139-z

zbMATH Keywords

fixed pointsBanach spacesvariational inequalitiesKKM theoremgeneralized projection operators

Mathematics Subject Classification ID

Variational inequalities (49J40) Fixed-point theorems (47H10)

Related Items (12)

Existence of solutions of a new system of generalized variational inequalities in Banach spaces ⋮ Existence of solutions for generalized variational inequality problems in Banach spaces ⋮ Krasnoselski-Mann iterations for hierarchical fixed point problems for a finite family of nonself mappings in Banach spaces ⋮ Existence theorems for generalized set-valued mixed (quasi-)variational inequalities in Banach spaces ⋮ Projection algorithms for the system of mixed variational inequalities in Banach spaces ⋮ Projection algorithms for the system of generalized mixed variational inequalities in Banach spaces ⋮ Existence theorem and algorithm for a general implicit variational inequality in Banach space ⋮ Iterative schemes for approximating solutions of generalized variational inequalities in Banach spaces ⋮ Generalized KKM-type theorems in GFC-spaces and applications ⋮ Existence of solutions of generalized variational inequalities in reflexive Banach spaces ⋮ Strong convergence of iterative algorithms for variational inequalities in Banach spaces ⋮ Hybrid approximate proximal point algorithms for variational inequalities in Banach spaces

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