這篇論文中，我們在G-凸空間建立G-KKM(X,Y) 集族與 映射之間的同質點定理、廣義變分不等式定理與大中取小不等式定理。(特殊符號無法顯現，請參閱PDF檔)

In this paper,we establish some coincidence theorems, generalized variational inequality theorems and minimax inequality theorems for the family G-KKM(X,Y) and the –mapping on G-convex spaces.。(特殊符號無法顯現，請參閱PDF檔)

[1] O. H. Ansari, A. Idzik, J. C. Yao, Coincidence and fixed point theoremswith applications, Topol. Methods Nonlinear Anal.15(2000), 191-202.
[2] S. S. Chang, B. S. Lee, X. Wu, Y. J. Cho, G. M. Lee, On the generalized
quasi-variational inequality problems, J. Math. Ann. Appl. 203(1996), 686-
711.
[3] T. H. Chang, C. L. Yen, KKM property and fixed point theorems, J. Math. Ann. Appl. 203(1996), 224-235.
[4] T. H. Chang, Y. Y. Huang, J. C. Jeng and K. H. Kuo, On S-KKM Property and Related Topics, J. Math. Anal. Appl. 229(1999), 212-227.
[5] T. H. Chang, Y. L. Lee, G-S-KKM theorem and its applications, J. Graduate Institute of Mathematics and Science, NHCTC, HsinChu, Taiwan, R.O.C In Press.
[6] X. P. Ding, Coincidence theorems in topologicalspaces and their applications, Applied. Math. Lett. 12(1999), 99-105.
[7] X. P. Ding, Existence of solutions for quasi-equilibrium problems in noncompact topological spaces, Comput. Math. Appl. 39(2000), 13-21.
[8] X. P. Ding, Generalized G-KKM theorems in generalized convex spaces and their applications, . Math. Anal. Appl. 266(2002), 21-37.
[9] Ky Fan, A generalization of Tychonoff’s fixed point theorem, Math. Ann. 142(1961), 305-310.
[10] B. Knaster, C. Kurnatoaski, S. Mazurkiewicz, Ein Beweis des Fixpunksatzes fur n-dimensionale simplexe, Fund. Math. 14(1929), 132-137.
[11] L. J. Lin, H. I. Chen, Coincidence theorems for family of multimaps and its applications to equilibrium promblems, J. Abstr. Anal. 5(2003), 295-305.
[12] L. J. Lin, System of coincidence theorems with applications, J. Math. Anal. Appl. 285(2003), 408-418.
[13] L. J. Lin, Q. H. Ansai, J. Y. Wu, Geometric properties and coincidence
theorems with applications to generalized vector equilibrium problems, J.
Optim. Theory Appl. 117(1)(2003), 121-137.
[14] L. J. Lin, Z. T. Yu, Q. H. Ansai, L. P. Lai, Fixed point and maximal theorems with applications to abstract economies and minimax inequalities, J. Math. Anal. Appl. 284(2003), 656-671.
[15] G. J. Minty, On the maximal domain of a monotone function, Michigan Math. J.8(1961), 179-182.
[16] S. Park, H. Kim, Coincidence theorems for admissible multifunctions on
generalized convex spaces, J. Math. Anal. Appl. 197(1996), 173-187.
[17] G. Tina, J. Zhou, Transfer continuities, generalizations of the Weiestrass and maximum theorems; a full characterization. J. Math. Econom. 24(1995), 281-303.
[18] X. Z. Yuan, KKM theorem and application in nonlinear analysis, Marcel Dekker, New York,(1999)189-192.