A study of common fixed points that belong to zeros of a certain given function with applications
Articles
Hayel N. Saleh
Aligarh Muslim University
https://orcid.org/0000-0002-8343-4036
Mohammad Imdad
Aligarh Muslim University
https://orcid.org/0000-0003-3270-1365
Erdal Karapinar
Çankaya University
https://orcid.org/0000-0002-6798-3254
Published 2021-09-01
https://doi.org/10.15388/namc.2021.26.21945
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Keywords

point of phi-coincidence
common phi-fixed point
extended CG-simulation functions
metric space
partial metric space

How to Cite

Saleh H. N., Imdad M. and Karapinar E. (2021) “A study of common fixed points that belong to zeros of a certain given function with applications”, Nonlinear Analysis: Modelling and Control, 26(5), pp. 781-800. doi: 10.15388/namc.2021.26.21945.

Abstract

In this paper, we establish some point of φ-coincidence and common φ-fixed point results for two self-mappings defined on a metric space via extended CG-simulation functions. By giving an example we show that the obtained results are a proper extension of several well-known results in the existing literature. As applications of our results, we deduce some results in partial metric spaces besides proving an existence and uniqueness result on the solution of system of integral equations.

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