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Some new fixed point theorems in probabilistic metric spaces
Authors:Zhu Chuan-xi
Affiliation:Mathematies Division, Nanchang University, Nanchang
Abstract:In this paper, we introduce the concept of the Z-M-PN space and obtain somenew fixed point theorems in probabilistic metric spaces Meanwhile,some famous fixedpoint 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.
Keywords:topological degree. probabilistic metric spaces. operator.compact continuous operator. Z-M-PN space  
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