A Generalization of Browder’s Fixed Point Theorem With Applications
-
摘要: 研究Browder不动点定理,得到Browder不动点定理之一新的推广定理及其几种等价形式.作为应用,研究了最近点和不动点的存在性问题.
-
关键词:
- 转移开(闭)映象 /
- Browder不动点定理 /
- 转移上(下)半连续函数
Abstract: The purpose of this paper is to obtain a generalization of the famous Browder's fixed point theorem and some equivalent forms.As application,these results are utilized to study the existence problems of fixed points and nearest points. -
[1] Browder F.The fixed pointtheory of multivalued mappings in topological vector space[J].Math Ann,1968,177:183~301. [2] 张石生.变分不等式和相补问题理论及应用[M].上海:上海科技文献出版社,1991. [3] Tarafdar E.On nonlinear variational inequalities[J].Proc Amer Math Soc,1977,67:95~98. [4] Tarafdar E.Afixed pointtheorem equivalentto Fan-Knaster-Kuratowski-Mazurkieweicz'stheorem[J].J Math Anal Appl,1987,128:475~479. [5] Tarafdar E.Five equivalent theorems on a convex subset of a topological vector spaces[J].Comment Math Univ Carolinae,1989,30(2):323~326. [6] Tian G Q.Generalizations of K K Mtheorem and the Ky Fan minimax inequality with applications to maximal elements,price equilibrium and complementarity[J].J Math Anal Appl,1992,170:457~471. [7] Chang Shih-sen,Cho Y J,Wu X,Zhang Y.Thetopological versions of K K Mtheoremand Fan's matching theorem with applications[J].Topological Methods in Nonlinear Anal,1993,1:231~245. [8] Kindler J.Topological intersection theorems[J].Proc Amer Math Soc,1993,117:1003~1011. [9] Allen G.Variational inequalities,complementarity problems and duality theorem[J].J Math Anal Appl,1977,58:1~10. [10] Fan Ky.A minimax inequality and applications[A].In:Shisha O Ed.Inequalities Ⅲ[C].Academic Press,1972. [11] Fan Ky.Ageneralization of Tychonoff's fixed point theorem[J].Math Ann,1961,141:303~310. [12] Fan Ky.Some properties of convex setsrelated to fixed point theorems[J].Math Ann,1984,266:519~537.
计量
- 文章访问数: 2499
- HTML全文浏览量: 98
- PDF下载量: 1062
- 被引次数: 0