Common Fixed Point Results for Cubic Type Generalized (ψ − ϕ) Weak Contraction in b-Metric Spaces
Rakesh Singh
Department of Mathematics, Baba Mastnath University, Asthal Bohar, Rohtak-124021, Haryana, India.
Vinod Bhatia
Department of Mathematics, Baba Mastnath University, Asthal Bohar, Rohtak-124021, Haryana, India.
Rajesh Kumar *
Department of Mathematics, Institute of Higher Learning, BPS Mahila Vishwavidyalaya, Khanpur Kalan-131305, Sonipat, Haryana, India.
*Author to whom correspondence should be addressed.
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.
Keywords: Common fixed point, weak contraction, compatible mappings, b-metric spaces