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.
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This work was supported by the National Natural Science Foundation of China (11101069, 11271391, 11171237) and China Postdoctoral Science Foundation (2014M552328).
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Xiao, Yb., Yang, X. & Huang, Nj. Some equivalence results for well-posedness of hemivariational inequalities. J Glob Optim 61, 789–802 (2015). https://doi.org/10.1007/s10898-014-0198-7
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DOI: https://doi.org/10.1007/s10898-014-0198-7