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.
Authors
- Rajesh Kumar (ORCID: https://orcid.org/0000-0002-6779-4883)
- Rakesh K. Singh (ORCID: https://orcid.org/0000-0002-1317-3520)
- Vinod Bhatia
Institutions
- Baba Mastnath University (IN)
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