Distance type and common fixed point theorems in Menger probabilistic metric type spaces

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摘要

In this paper, we introduce the concept of rt-distance on a Menger probabilistic metric type space. Further we prove some fixed point theorems in a complete Menger probabilistic metric type space which generalizes some famous fixed point theorems.

论文关键词:Nonlinear probabilistic contractive mapping,Complete probabilistic metric type space,Menger space,Fixed point theorem

论文评审过程:Received 12 May 2014, Accepted 6 May 2015, Available online 5 July 2015, Version of Record 5 July 2015.

论文官网地址:https://doi.org/10.1016/j.amc.2015.05.052