On a class of variational-hemivariational inequalities involving set valued mappings

DOI10.1515/APAM.2010.014zbMath1215.47054arXiv0904.4001MaRDI QIDQ3576335

Nicuşor Costea, Cezar Lupu

Publication date: 30 July 2010

Published in: Advances in Pure and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0904.4001

zbMATH Keywords

existence of solutionsClarke's generalized gradientKKM mappingmonotone mappingsvariational-hemivariational inequalitiesset valued mappings

Mathematics Subject Classification ID

Variational and other types of inequalities involving nonlinear operators (general) (47J20) Variational inequalities (49J40) Monotone operators and generalizations (47H05) Set-valued and variational analysis (49J53) Set-valued maps in general topology (54C60) Set-valued operators (47H04)

Related Items (14)

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 variational-hemivariational inequalities ⋮ Existence theorems of the hemivariational inequality governed by a multi-valued map perturbed with a nonlinear term in Banach spaces ⋮ Existence of Solutions for Variational-Like Hemivariational Inequalities Involving Lower Semicontinuous Maps ⋮ Existence results for a class of semilinear differential variational inequalities with nonlocal boundary conditions ⋮ The hemivariational inequalities for an upper semicontinuous set-valued mapping ⋮ Existence results of semilinear differential variational inequalities without compactness ⋮ On a class of variational-hemivariational inequalities involving upper semicontinuous set-valued mappings ⋮ Rothe method for parabolic variational-hemivariational inequalities ⋮ Existence results for mixed hemivariational-like inequalities involving set-valued maps ⋮ On stably quasimonotone hemivariational inequalities ⋮ On a generalized hemivariational inequality on Banach spaces ⋮ Existence of solutions for a class of variational-hemivariational-like inequalities in Banach spaces

Cites Work

• Solvability of dynamic antiplane frictional contact problems for viscoelastic cylinders
• Weak solvability of antiplane frictional contact problems for elastic cylinders
• Some properties of convex sets related to fixed point theorems
• On quasimonotone variational inequalities
• Existence theorems of Hartman-Stampacchia type for hemivariational inequalities and applications
• On some non-linear elliptic differential functional equations
• Nonlinear maximal monotone operators in Banach space
• Existence Results For Inequality Problems
• Variational inequalities
• On the generalization of a direct method of the calculus of variations

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