Fixed point theorems for ϕ-contraction mappings in probabilistic generalized Menger space

Shahnaz Jafari () and Maryam Shams ()
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Shahnaz Jafari: University of Shahrekord
Maryam Shams: University of Shahrekord

Indian Journal of Pure and Applied Mathematics, 2020, vol. 51, issue 2, 519-532

Abstract: Abstract In this paper, we define the concepts of ϕ-contraction in probabilistic generalized Menger space. We prove that ϕ-contraction mappings in probabilistic generalized Menger space have a unique fixed point. Also we prove some fixed point theorems related this concept. Some examples are given to support the obtained results.

Keywords: Probabilistic $$\mathbb{G}$$ G -Menger space; contraction mappings; continuous t-norm; fixed point; distribution function; 47H09; 47H10 (search for similar items in EconPapers)
Date: 2020
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DOI: 10.1007/s13226-020-0414-8

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