MAXIMAL ELEMENTS OF A FAMILY OF G_B-MAJORIZED MAPPINGS IN PRODUCT FC-SPACES AND APPLICATIONS  

作　　者：丁协平 

机构地区：[1]College of Mathematics and Software Science,Sichuan Normal University,Chengdu 610066,P. R. China

出　　处：《Applied Mathematics and Mechanics(English Edition)》2006年第12期1607-1618,共12页应用数学和力学（英文版）

基　　金：Project supported by the Natural Science Foundation of Sichuan Education Department of China (Nos.2003A081 and SZD0406)

摘　　要：A new family of GB-majorized mappings from a topological space into a finite continuous topological spaces （in short, FC-space） involving a better admissible set-valued mapping is introduced. Some existence theorems of maximal elements for the family of GB-majorized mappings are proved under noncompact setting of product FCspaces. Some applications to fixed point and system of minimax inequalities are given in product FC-spaces. These theorems improve, unify and generalize many important results in recent literature.A new family of GB-majorized mappings from a topological space into a finite continuous topological spaces （in short, FC-space） involving a better admissible set-valued mapping is introduced. Some existence theorems of maximal elements for the family of GB-majorized mappings are proved under noncompact setting of product FCspaces. Some applications to fixed point and system of minimax inequalities are given in product FC-spaces. These theorems improve, unify and generalize many important results in recent literature.

关 键 词：maximal element family of GB-majorized mappings fixed point system of minimax inequalities product FC-space 

分 类 号：O177.91[理学—数学]