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1.
非紧超凸度量空间中的一个新的极大元定理及其对抽象经济的应用(英文) 总被引:4,自引:0,他引:4
在非紧超凸度量空间中建立了一个新的极大元定理.作为应用,获得了连续选择及其不动点定理和一个Browder-Fan不动点定理.最后,新建了非紧超凸度量空间中的定性对策和抽象经济的平衡点存在定理. 相似文献
2.
非紧超凸度量空间中的Browder不动点定理及其对重合问题的应用 总被引:23,自引:1,他引:22
在非紧超凸度量空间中的非紧允许集上,建立了一个新的Browder不动点定理.作为应用,在非紧超凸度量空间中,研究了Ky Fan截口问题和相交问题,并新建了两个Ky Fan重合定理. 相似文献
3.
在非紧超凸度量空间中建立了一个新的不动点定理.作为应用,研究了连续选择及其不动点定理,极大元定理、Ky Fan极大极小不等式和鞍点定理. 相似文献
4.
文开庭 《应用泛函分析学报》2009,11(1):9-14
在非紧超凸度量空间中的非紧次允许子集中建立了一个极大元定理.作为应用,研究了Fan-Browder型不动点定理、KyFan极大极小不等式和鞍点定理. 相似文献
5.
非紧L-凸度量空间中的一般拟平衡问题组(英文) 总被引:1,自引:0,他引:1
本文建立了非紧完备L-凸度量空间中新的不动点定理.作为应用,获得了非紧完备L-凸度量空间中的一般拟平衡问题组和拟平衡问题组的平衡存在定理. 相似文献
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非紧L-凸度量空间中的GLsKKM定理及其对不动点问题的应用 总被引:1,自引:0,他引:1
建立了非紧完备L-凸度量空间中的GLsKKM定理.作为应用,获得了Ky Fan 截口定理,极大元定理和Fan-Browder型不动点定理. 相似文献
9.
文开庭 《应用泛函分析学报》2010,12(3):266-273
引入了FC-度量空间,建立了非紧FC-度量空间中的R-KKM定理.作为应用,研究了非紧FC-度量空间中的变分不等式的解集、相交点集、Ky Fan截口和极大元集的性质,获得了FC-度量空间中的Fan-Browder不动点定理. 相似文献
10.
建立非紧FC-度量空间中转移紧开值映射的Browder型不动点定理.作为应用,获得非紧FC-度量空间中一般拟平衡问题系统的平衡存在定理. 相似文献
11.
In this paper, as applications of the Knaster-Kuratowski and Mazurkiewicz principle in the hyperconvex version, we obtain the Ky Fan type matching theorems for closed and open covers. As applications, some intersection theorems which are hyperconvex versions of corresponding results due to Alexandroff and Pasynkoff, Fan, Klee, Horváth, and Lassonde are established. Then, the Ky Fan type best approximation theorem and Schauder-Tychonoff fixed-point theorem (i.e., Fan-Glicksberg fixed-point theorem) for set-valued mappings in noncompact hyperconvex spaces are also given. Finally, we obtain a general form of the Browder-Fan fixed-point theorem for set-valued mappings in noncompact hyperconvex spaces. These results include corresponding results in the literature as special cases. 相似文献
12.
The Generic Stability of Fixed Points for Upper Semicontinuous Mappings in Hyperconvex Metric Spaces
The main goal of this paper is to establish the generic stability of Fan-Glicksberg type fixed points in hyperconvex metric spaces. In order to do so, we first give Fan-Glicksberg type fixed point theorem in hyperconvex metric spaces and then the generic stability of fixed points for upper semicontinuous set-valued mappings is obtained. Our generic stability results show that almost all of fixed points of upper semicontinuous set-valued mappings defined in compact hyperconvex metric spaces are stable in the sense of Baire category theory 相似文献
13.
《Nonlinear Analysis: Theory, Methods & Applications》2007,66(1):170-178
In 1996 Khamsi proved a result in hyperconvex metric spaces which is an analogue of the famous KKM-maps principle proved by Ky Fan in 1972 for topological vector spaces.In this note, using the above result due to Khamsi, we establish two results in hyperconvex metric spaces which are analogues of the famous Ky Fan inequality and Sion minimax theorem proved for topological vector spaces in 1972 and 1958, respectively. 相似文献
14.
非紧超凸度量空间中的一个新的不动点定理及其对鞍点问题的应用 总被引:3,自引:0,他引:3
In this paper,a new fixed point theorem is established in noncompact hyperconvex metric spaces.As applications,a continuous selection and its fixed point theorem,an existence theorem for maximal elements,a Ky Fan minimax inequality and an existence theorem for saddle points are obtained. 相似文献
15.
In this paper, a new Browder fixed point theorem is established in the noncompact sub-admissible subsets of noncompact hyperconvex metric spaces. As application, a Ky Fan section theorem and an intersection theorem are obtained. 相似文献
16.
In this paper, we present a best approximation theorem for set-valued mappings in hyperconvex metric spaces, which generalize the well-known result of Kirk, Sims and Yuan [W.A. Kirk, B. Sims, X.Z. Yuan, The Knaster–Kuratowski and Mazurkiewicz theory in hyperconvex metric spaces and some of its applications, Nonlinear Anal. 39 (2000) 611–627]. 相似文献