FIXED POINTS OF NONEXPANSIVE MAPPINGS ON STAR-SHAPED SUBSETS OF A CONVEX METRIC SPACE  

作　　者：邓磊 丁协平 

机构地区：[1]Chongqing Teacher's College, Chongqing [2]Sichuan Normal University, chengdu

出　　处：《Applied Mathematics and Mechanics(English Edition)》1992年第2期135-141,共7页应用数学和力学（英文版）

基　　金：National Natural Science Foundation of China

摘　　要：In this paper, we give some characteristic properties of star-shaped sets which include a subset of a convex metric space. Using the characteristic properties, we discuss the existence problems of fixed points of nonexpansive type mappings on star-shaped subsets of convex metric spaces, which generalize the recent results obtained by Ding Xie-ping, Beg and Azam. Finally, we give an example which shows that our generalizations are essential.In this paper, we give some characteristic properties of star-shaped sets which include a subset of a convex metric space. Using the characteristic properties, we discuss the existence problems of fixed points of nonexpansive type mappings on star-shaped subsets of convex metric spaces, which generalize the recent results obtained by Ding Xie-ping, Beg and Azam. Finally, we give an example which shows that our generalizations are essential.

关 键 词：star-shaped set star centre normal structure of a star-shaped set 

分 类 号：O3，O1[理学—力学]