Nonlinear contraction theorems in probabilistic spaces

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摘要

In this paper first we prove a common fixed point theorem in Menger probabilistic metric spaces. Then we present a nonlinear contraction case of Jungck’s common fixed point theorem in Menger probabilistic metric spaces. Finally, we prove a common fixed point theorem for six self-maps in a Menger probabilistic metric space.

论文关键词:Probabilistic metric spaces,Completeness,Nonlinear contraction,Fixed point theorem

论文评审过程:Available online 27 April 2007.

论文官网地址:https://doi.org/10.1016/j.amc.2007.04.070