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A NEW VECTOR QUASI-EQUILIBRIUM-LIKE PROBLEM

Lee, Byung-Soo

  • Published : 2009.10.31

Abstract

In this paper, we consider the existence of solutions to some generalized vector quasi-equilibrium-like problem under a c-diagonal quasi-convexity assumptions, but not monotone concepts. For an example, in the proof of Theorem 1, the c-diagonally quasi-convex concepts of a set-valued mapping was used but monotone condition was not used. Our problem is a new kind of equilibrium problems, which can be compared with those of Hou et al. [4].

Keywords

vector quasi-equilibrium-like problem;c-diagonally quasi-convex;open lower sections;Browder fixed point theorem

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