Applied Mathematics and Mechanics (English Edition) ›› 1991, Vol. 12 ›› Issue (4): 363-372.

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FIXED POINT THEOREMS OF LOCAL CONTRACTION MAPPINGS ON MENGER SPACES

Fang Jin-xuan   

  1. Department of Mathematics, Nanjing Normal University, Nanjing
  • Received:1990-01-03 Online:1991-04-18 Published:1991-04-18

Abstract: In this paper, we introduce the concept of ε -chainable PM-space, and give several fixed point theorems of one-valued and multivalued local contraction mapping on the kind of spaces.

Key words: probabilistic metric space, Menger space, e-chainable, local contraction mapping, fixed point

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