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Applied Mathematics and Mechanics (English Edition) ›› 1989, Vol. 10 ›› Issue (2): 119-121.

• 论文 • 上一篇    下一篇

SET-VALUED CARISTI’S FIXED POINT THEOREM AND EKELANDS VARIATIONAL PRINCIPLE

张石生1, 罗群2   

  1. 1. Sichuan University, Chengdu;
    2. Guizhou Normal University, Guiyang
  • 收稿日期:1987-11-02 出版日期:1989-02-18 发布日期:1989-02-18

SET-VALUED CARISTI’S FIXED POINT THEOREM AND EKELANDS VARIATIONAL PRINCIPLE

Zhang Shi-sheng1, Luo Qun2   

  1. 1. Sichuan University, Chengdu;
    2. Guizhou Normal University, Guiyang
  • Received:1987-11-02 Online:1989-02-18 Published:1989-02-18

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摘要： This paper proposes a formally stronger set-valued Caristi’s fixed point theorem and by using a simple method we give a direct proof for the equivalence between Ekeland’s variational principle and thin set-valued Caristi’s fixed point theorem. The results stated in this paper improve and strengthen the corresponding results in [4].

Abstract: This paper proposes a formally stronger set-valued Caristi’s fixed point theorem and by using a simple method we give a direct proof for the equivalence between Ekeland’s variational principle and thin set-valued Caristi’s fixed point theorem. The results stated in this paper improve and strengthen the corresponding results in [4].

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