Fixed point results of \((\phi,\psi)\)-weak contractions in ordered \(b\)-metric spaces

N. Seshagiri Rao; K. Kalyani

doi:10.56754/0719-0646.2402.0343

DOI:

https://doi.org/10.56754/0719-0646.2402.0343

Abstract

The purpose of this paper is to prove some results on fixed point, coincidence point, coupled coincidence point and coupled common fixed point for the mappings satisfying generalized \((\phi, \psi)\)-contraction conditions in complete partially ordered \(b\)-metric spaces. Our results generalize, extend and unify most of the fundamental metrical fixed point theorems in the existing literature. A few examples are illustrated to support our findings.

Keywords

fixed point , coupled coincidence point , coupled common fixed point , partially ordered b-metric space , compatible , mixed f-monotone

N. Seshagiri Rao Department of Mathematics, School of Applied Science, Vignan‘s Foundation for Science, Technology & Research, Vadlamudi-522213, Andhra Pradesh, India.
K. Kalyani Department of Mathematics, School of Applied Science, Vignan‘s Foundation for Science, Technology & Research, Vadlamudi-522213, Andhra Pradesh, India.

Pages: 343–368
Date Published: 2022-08-22
Vol. 24 No. 2 (2022)

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