On Fixed Point of Quasi Contraction with Application to Integral Equation

Chiroma, Rhoda; Mohammed, Shehu Shagari; Jiddah, Jamilu Abubakar

doi:10.22130/scma.2023.2006954.1389

Articles in Press

Document Type : Research Paper

Authors

¹ Department of Mathematics, Faculty of Physical Sciences, Ahmadu Bello University, Zaria, Nigeria.

² Department of Mathematics, School of Physical Sciences, Federal University of Technology, Minna, Nigeria.

https://doi.org/10.22130/scma.2023.2006954.1389

Abstract

It is observed from the surveyed literature that there is no sufficient study of quasi-weakly contractive operators in the context of $b$-metric-like spaces. From this background information, this paper introduces a new unified notion of the quasi-weakly contractive operator in $b$-metric-like space. It examines the existence and uniqueness of invariant points of such operators. The idea put forward herewith subsumes a few known results in the literature. Non-trivial illustrations are constructed to verify our proposed concepts and to compare them with other corresponding ones. Corollaries which reduce our findings to other famous ideas are presented and discussed. As an application, one of our obtained corollaries is utilised to investigate new existence criteria for solving a class of boundary value problem.

Keywords

Main Subjects

Fixed Point Theory

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Sahand Communications in Mathematical Analysis

On Fixed Point of Quasi Contraction with Application to Integral Equation

References

References

Articles in Press, Accepted Manuscript
Available Online from 23 April 2024

On Fixed Point of Quasi Contraction with Application to Integral Equation

References

References

Articles in Press, Accepted Manuscript Available Online from 23 April 2024

Articles in Press, Accepted Manuscript
Available Online from 23 April 2024