Common Fixed Point Results for Cubic Type Generalized (ψ − ϕ) Weak Contraction in b-Metric Spaces

Singh, Rakesh and Bhatia, Vinod and Kumar, Rajesh (2025) Common Fixed Point Results for Cubic Type Generalized (ψ − ϕ) Weak Contraction in b-Metric Spaces. Asian Research Journal of Mathematics, 21 (2). pp. 35-47. ISSN 2456-477X

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Abstract

The fixed point theory is essential to various theoretical and applied fields, such as approximation theory, nonlinear analysis, integral and differential equations, dynamic systems theory, mathematics of fractals, mathematical economics and mathematical modelling. The goal of this paper is to introduce cubic type generalized (ψ −ϕ) weak contraction condition in b-metric spaces and using this condition, we prove common fixed point theorem for compatible mappings. Present results generalize the results of Kumar and Kumar
(2021) and some other related work in the literature.

Item Type: Article
Subjects: Research Asian Plos > Mathematical Science
Depositing User: Unnamed user with email support@research.asianplos.com
Date Deposited: 17 Mar 2025 04:39
Last Modified: 17 Mar 2025 04:39
URI: http://resources.submit4manuscript.com/id/eprint/2744

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