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In this paper, we consider the existence of solutions to some generalized vector quasi-equilibrium-like problem under a c-diagonal qua-si-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].
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참고문헌 (10)
참고문헌 신청
F. E. Browder / 1968 / The fixed point theory of multivalued mappings in topological vector spaces / Math. Annal. 177 : 283 ~ 301
G. X.-Z. Yuan / 1998 / The study of minimax inequalities, abstract economics and applications to variational inequalities and Nash equilibria / Acta Appl. Math. 54 : 135 ~ 1
H. H. Schaefer / 1971 / Topological Vector Spaces, Graduate Texts in Mathematics / Springer
L.-J. Lin / 1999 / Remarks on fixed points, maximal elements, and equilibria of general games / J. Math. Anal. Appl. 233 : 581 ~ 596
M. A. Noor / 2006 / Mixed quasi-equilibrium-like problems / J. Appl. Math. Stoch. Anal. : 1 ~ 8
G. X.-Z. Yuan / 1998 / The study of minimax inequalities, abstract economics and applications to variational inequalities and Nash equilibria / Acta Appl. Math. 54 : 135 ~ 1
H. H. Schaefer / 1971 / Topological Vector Spaces, Graduate Texts in Mathematics / Springer
L.-J. Lin / 1999 / Remarks on fixed points, maximal elements, and equilibria of general games / J. Math. Anal. Appl. 233 : 581 ~ 596
M. A. Noor / 2006 / Mixed quasi-equilibrium-like problems / J. Appl. Math. Stoch. Anal. : 1 ~ 8
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