Existence theorems for generalized set-valued mixed (quasi-)variational inequalities in Banach spaces

DOI10.1007/s10898-011-9811-1zbMath1256.49014OpenAlexW2014684931MaRDI QIDQ1937959

Jen-Chih Yao, Lu-Chuan Ceng

Publication date: 1 February 2013

Published in: Journal of Global Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10898-011-9811-1

zbMATH Keywords

KKM theoremgeneralized \(f\)-projection operatormixed variational inequalityKakutani-Fan-Glicksberg fixed-point theoremupper semicontinuous set-valued mappingcomposite mappingmixed quasi-variational inequality

Mathematics Subject Classification ID

Variational inequalities (49J40) Set-valued and variational analysis (49J53) Fixed-point theorems (47H10) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)

Related Items (3)

On the solvability of inclusions with multivalued compact perturbations of bi-mappings ⋮ A new projection-type method for solving multi-valued mixed variational inequalities without monotonicity ⋮ Existence results for quasi-variational inequalities with multivalued perturbations of maximal monotone mappings

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