Some Equivalence Results for Well-Posedness of Generalized Hemivariational Inequalities with Clarke’s Generalized Directional Derivative

نویسندگان

  • Lu-Chuan Ceng
  • Yeong-Cheng Liou
  • Ching-Feng Wen
چکیده

In this paper, we are devoted to exploring conditions of well-posedness for generalized hemivariational inequalities with Clarke’s generalized directional derivative in reflexive Banach spaces. By using some equivalent formulations of the generalized hemivariational inequality with Clarke’s generalized directional derivative under different monotonicity assumptions, we establish two kinds of conditions under which the strong α-well-posedness and the weak α-well-posedness for the generalized hemivariational inequality with Clarke’s generalized directional derivative are equivalent to the existence and uniqueness of its solution, respectively.

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تاریخ انتشار 2016