Some equivalence results for well-posedness of hemivariational inequalities

Yi-bin Xiao (), Xinmin Yang and Nan-jing Huang

Journal of Global Optimization, 2015, vol. 61, issue 4, 789-802

Abstract: In the present paper, we are devoted to exploring conditions of well-posedness for hemivariational inequalities in reflexive Banach spaces. By using some equivalent formulations of the hemivariational inequality considered under different monotonicity assumptions, we establish two kinds of conditions under which the strong well-posedness and the weak well-posedness for the hemivariational inequality considered are equivalent to the existence and uniqueness of its solution, respectively. Copyright Springer Science+Business Media New York 2015

Keywords: Hemivariational inequality; Clarke’s generalized gradient; Well-posedness; Relaxed monotonicity; 49K40; 47J20; 49J52 (search for similar items in EconPapers)
Date: 2015
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DOI: 10.1007/s10898-014-0198-7

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