Applications of equilibrium problems to a class of noncoercive variational inequalities

DOI10.1007/s10957-006-9072-1zbMath1158.35050OpenAlexW2042080397MaRDI QIDQ995950

Zhen-Hai Liu, Jen-Chih Yao, Ouayl Chadli

Publication date: 10 September 2007

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

Full work available at URL: https://doi.org/10.1007/s10957-006-9072-1

zbMATH Keywords

existencedegree theoryequilibrium problemsrecession analysisnoncoercive variational inequalities

Mathematics Subject Classification ID

Related Items (9)

Noncoercive variational-hemivariational inequalities: existence, approximation by double regularization, and application to nonmonotone contact problems ⋮ On semicoercive variational-hemivariational inequalities -- existence, approximation, and regularization ⋮ Semicoercive variational inequalities: from existence to numerical solution of nonmonotone contact problems ⋮ Error bounds of regularized gap functions for nonmonotone Ky Fan inequalities ⋮ A shrinking projection method for generalized mixed equilibrium problems, variational inclusion problems and a finite family of quasi-nonexpansive mappings ⋮ Strong convergence for mixed equilibrium problems of infinitely nonexpansive mappings ⋮ Existence results for proper efficient solutions of vector equilibrium problems and applications ⋮ A note on D-gap functions for equilibrium problems ⋮ On vector quasi-equilibrium problems via a Browder-type fixed-point theorem

Cites Work

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• Equilibrium problems with generalized monotone bifunctions and applications to variational inequalities
• Existence of solutions for a class of elliptic variational inequalities
• Recession methods in monotone variational hemivariational inequalities
• Network economics: a variational inequality approach
• Several existence theorems for the nonlinear complementarity problem
• Generalized monotone bifunctions and equilibrium problems
• Quasimonotone variational inequalities in Banach spaces
• Some degree calculations and applications to global bifurcation of variational inequalities
• Noncoercive variational inequalities for pseudomonotone operators
• Positive solutions of quasilinear elliptic obstacle problems with critical exponents
• Bifurcation from minimax solutions by variational inequalities in convex sets
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