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

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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

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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