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Applied Mathematics and Mechanics (English Edition) ›› 1992, Vol. 13 ›› Issue (2): 135-141.

• 论文 • 上一篇    下一篇

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

邓磊1, 丁协平2   

  1. 1. Chongqing Teacher’s College, Chongqing;
    2. Sichuan Normal University, chengdu
  • 收稿日期:1991-01-07 出版日期:1992-02-18 发布日期:1992-02-18
  • 基金资助:
    National Natural Science Foundation of China

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

Deng Lei1, Ding Xie-ping2   

  1. 1. Chongqing Teacher’s College, Chongqing;
    2. Sichuan Normal University, Chengdu
  • Received:1991-01-07 Online:1992-02-18 Published:1992-02-18
  • Supported by:
    National Natural Science Foundation of China

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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 ofnonexpansive 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

Abstract: 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 ofnonexpansive 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.

Key words: star-shaped set, star centre, normal structure of a star-shaped set

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