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

Year: 2025

Type: article

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.

Source: Asian Research Journal of Mathematics

DOI: 10.9734/arjom/2025/v21i2891

Authors: Rakesh Singh, Vinod Bhatia, Rajesh Kumar

Institutions: Baba Mastnath University, Bhagat Phool Singh Mahila Vishwavidyalaya

Language: English

Topic: Fixed Point Theorems Analysis

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4407550042

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