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

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.

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Publication Details

Journal
Asian Research Journal of Mathematics
Published
2025-02-13
DOI
https://doi.org/10.9734/arjom/2025/v21i2891
Primary Topic
Fixed Point Theorems Analysis
Type
article
Field-Weighted Citation Impact
0.00
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article

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

Rajesh Kumar, Rakesh K. Singh, Vinod Bhatia
Asian Research Journal of Mathematics
Fixed Point Theorems Analysis
article

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

Rajesh Kumar, Rakesh K. Singh, Vinod Bhatia
article en

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.

Asian Research Journal of MathematicsVol. 21(2)
Baba Mastnath University (IN)
Openalex Percentile: Top 94%
Fixed Point Theorems Analysis
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