4.6 Article

Generalized quasi-variational-like hemivariational inequalities

Journal

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS
Volume 69, Issue 2, Pages 637-646

Publisher

PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.na.2007.06.011

Keywords

generalized quasi-variational-like hemivariational inequality; multi-valued eta-pseudomonotone mapping; lower semi-continuity; upper semi-continuity; kneser's minimax inequality

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In this paper, we introduce and study a new class of generalized quasi-variational-like hemivariational inequalities with multi-valued eta-pseudomonotone operators in Banach spaces. Some new existence theorems of solutions for this class of generalized quasi-variational-like hemivariational inequalities are proved. The results presented in this paper generalize and extend some known results. (C) 2007 Elsevier Ltd. All rights reserved.

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