On (ψ, ϕ) Contraction in Bicomplex Valued Fuzzy b-Metric Spaces with Application

Rakesh Tiwari and Shraddha Rajput
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Rakesh Tiwari: Government V. Y. T. Post-Graduate Autonomous College, India
Shraddha Rajput: Government V. Y. T. Post-Graduate Autonomous College, India

European Journal of Mathematics and Statistics, 2022, vol. 3, issue 4, 43-53

Abstract: In this article, we introduce the concept of bicomplex valued fuzzy b-metric spaces and a modified (ϕ, ψ) fuzzy contraction.We construct certain fixed point results in bicomplex valued fuzzy b-metric spaces. Our work is inspired by I. Demir [1] andSingh et al. [2]. Some examples are provided to validate our results. Further, we substantiate the utility of our work in identifyingthe unique solution to a system of equations emerging in dynamic programming.

Keywords: Bicomplex valued fuzzy b-metric space; Bicomplex valued metric space; Fixed point; Modified (ϕ; ψ) fuzzy contraction. (search for similar items in EconPapers)
Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:epw:ejmath:v:3:y:2022:i:4:id:14089

DOI: 10.24018/ejmath.2022.3.4.89

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