Applied Mathematics and Mechanics (English Edition) ›› 1995, Vol. 16 ›› Issue (2): 179-185.

• 论文 • 上一篇    下一篇

SOME NEW FIXED POINT THEOREMS IN PROBABILISTIC METRIC SPACES

朱传喜   

  1. Mathematies Division, Nanchang University, Nanchang
  • 收稿日期:1993-07-25 出版日期:1995-02-18 发布日期:1995-02-18
  • 通讯作者: Zhang Shi-sheng
  • 基金资助:

    Projects supported by Provincial Natural Science Foundation of Jiangxi, China

SOME NEW FIXED POINT THEOREMS IN PROBABILISTIC METRIC SPACES

zhu Chuan-xi   

  1. Mathematies Division, Nanchang University, Nanchang
  • Received:1993-07-25 Online:1995-02-18 Published:1995-02-18
  • Supported by:

    Projects supported by Provincial Natural Science Foundation of Jiangxi, China

摘要: In this paper, we introduce the concept of the Z-M-PN space and obtain somenew fixed point theorems in probabilistic metric spaces Mean while,some famous fixed point theorems are generalized in probabilistic metric spaces, such a.s fixed point theorem of Schauder, Guo’s theorem and fixed point theorem of Petryshyn are generalized in Menger PN-space. And fixed point theorem of Altman is also generalized in the Z-M-PN space.

关键词: wake bubble, tip vortex, split, reverse jet, topological degree, probabilistic metric spaces, operator, compact continuous operator, Z-M-PN space

Abstract: In this paper, we introduce the concept of the Z-M-PN space and obtain somenew fixed point theorems in probabilistic metric spaces Mean while,some famous fixed point theorems are generalized in probabilistic metric spaces, such a.s fixed point theorem of Schauder, Guo’s theorem and fixed point theorem of Petryshyn are generalized in Menger PN-space. And fixed point theorem of Altman is also generalized in the Z-M-PN space.

Key words: wake bubble, tip vortex, split, reverse jet, topological degree, probabilistic metric spaces, operator, compact continuous operator, Z-M-PN space

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