System of Coincidence Theorems in Product Topological Spaces and Applications(Ⅱ)
-
摘要: 应用(Ⅰ)中得到的定义在非紧FC-空间的乘积空间上的两簇集值映射的重合点定理,在FC-空间内对矢量平衡问题组、不等式组和极小极大定理组建立了一些新的存在性定理.这些结果推广了最近文献中某些已知结果..
-
关键词:
- 矢量平衡问题组 /
- 极小极大不等式组 /
- 转移紧上(下)半连续 /
- FC-空间 /
- FC-拟凸
Abstract: By applying coincidence the orems in ( ) for two families of set-valued mappings defined on product space of noncompact FC-spaces in prece ding paper,some new existence theorems for system of vector equilibrium problems,system of inequalities and system of minimax the orems weree stablished in FC-spaces.These results generalize some known results in recent literature. -
[1] DING Xie-ping.New H-KKM theorems and their applications to geometric property, coincidence theorems, minimax inequality and maximal elements[J].Indian J Pure Appl Math,1995,26(1):1—19. [2] DING Xie-ping.Coincidence theorems in topological spaces and their applications[J].Appl Math Lett,1999,12(7):99—105. doi: 10.1016/S0893-9659(99)00108-1 [3] 丁协平.乘积拓扑空间内的重合点组定理及应用(Ⅰ)[J].应用数学和力学,2005,26(12):1401—1408. [4] Park S. Continuous selection theorems in generalized convex spaces[J].Numer Funct Anal Optim,1999,20(5/6):567—583. doi: 10.1080/01630569908816911 [5] DING Xie-ping,Park J Y. Generalized vector equilibrium problems in generalized convex spaces[J].J Optim Theory Appl,2004,120(2):327—353. doi: 10.1023/B:JOTA.0000015687.95813.a0 [6] Lin L J.System of coincidence theorems with applications[J].J Math Anal Appl,2003,285(2):408—418. doi: 10.1016/S0022-247X(03)00406-2 [7] Sion M. On nonlinear variational inequalities[J].Pacific J Math,1958,8(1):171—176.
计量
- 文章访问数: 2408
- HTML全文浏览量: 125
- PDF下载量: 685
- 被引次数: 0