On a class of Variational-Hemivariational Inequalities involving set valued mappings
Nicusor Costea, Cezar Lupu
TL;DR
This paper establishes existence results for variational-hemivariational inequalities involving set-valued mappings in reflexive Banach spaces, using the KKM technique, and provides conditions for solutions in unbounded cases.
Contribution
It introduces new existence theorems for variational-hemivariational inequalities with set-valued mappings, extending to unbounded subsets.
Findings
Existence results for bounded subsets
Existence conditions for unbounded subsets
Application of KKM technique in this context
Abstract
Using the KKM technique, we establish some existence results for variational-hemivariational inequalities involving monotone set valued mappings on bounded, closed and convex subsets in reflexive Banach spaces. We also derive several sufficient conditions for the existence of solutions in the case of unbounded subsets.
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Taxonomy
TopicsContact Mechanics and Variational Inequalities · Optimization and Variational Analysis · Topology Optimization in Engineering