The hemivariational inequalities for an upper semicontinuous set-valued mapping

DOI10.1007/s10957-012-0072-zzbMath1301.49029OpenAlexW2024039010MaRDI QIDQ1949560

Yanyan Li

Publication date: 8 May 2013

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

Full work available at URL: https://doi.org/10.1007/s10957-012-0072-z

zbMATH Keywords

set-valued mappingshemivariational inequalityupper semicontinuityClarke's generalized gradientcoercivity condition

Mathematics Subject Classification ID

Variational inequalities (49J40) Nonsmooth analysis (49J52) Set-valued and variational analysis (49J53) Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming) (90C33)

Related Items (6)

Well-posedness for a class of generalized variational-hemivariational inequalities involving set-valued operators ⋮ Existence results for a class of variational quasi-mixed hemivariational-like inequalities ⋮ Existence theorems of the hemivariational inequality governed by a multi-valued map perturbed with a nonlinear term in Banach spaces ⋮ On a class of variational-hemivariational inequalities involving upper semicontinuous set-valued mappings ⋮ Existence results for mixed hemivariational-like inequalities involving set-valued maps ⋮ Existence results for mixed equilibrium problems involving set-valued operators with applications to quasi-hemivariational inequalities

Cites Work

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• On stably quasimonotone hemivariational inequalities
• A Nash type solution for hemivariational inequality systems
• Nonconvex energy functions. Hemivariational inequalities and substationarity principles
• Non-convex superpotentials in the sense of F. H. Clarke and applications
• Existence theorems of Hartman-Stampacchia type for hemivariational inequalities and applications
• A set-valued approach to hemivariational inequalities
• On some non-linear elliptic differential functional equations
• Strict feasibility of pseudomonotone set-valued variational inequalities
• On a class of variational-hemivariational inequalities involving set valued mappings
• Optimization and nonsmooth analysis
• Hartman–Stampacchia results for stably pseudomonotone operators and non-linear hemivariational inequalities

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