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Generalized Set-valued Strongly Nonlinear Variational Inequalities in Banach Spaces

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Abstract

In this paper, we introduce and study a new class ofgeneralizedstrongly nonlinear variational inequalities with set-valued mappings. By using the KKM technique, we prove the existence and uniqueness of solution for this class of generalized set-valued strongly nonlinear variational inequalities in reflexive Banach spaces. Our results include the main results of Verma [16], [17] as special cases.

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