- A NEW VECTOR QUASI-EQUILIBRIUM-LIKE PROBLEM
- Lee, Byung-Soo ;
- Communications of the Korean Mathematical Society, volume 24, issue 4, 2009, Pages 523~528
- DOI : 10.4134/CKMS.2009.24.4.523

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].