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Research Article | Open Access

Fixed point for an O g F -c in O -complete b -metric-like spaces

Senthil Kumar Prakasam1, Arul Joseph Gnanaprakasam1, Ozgur Ege2, Gunaseelan Mani3, Salma Haque4, Nabil Mlaiki4( )
Department of Mathematics, College of Engineering and Technology, Faculty of Engineering and Technology, SRM Institute of Science and Technology, SRM Nagar, Kattankulathur 603203, Kanchipuram, Chennai, Tamil Nadu, India
Department of Mathematics, Faculty of Science, Ege University, Bornova, 35100, Izmir, Turkey
Department of Mathematics, Saveetha School of Engineering, Saveetha Institute of Medical and Technical Sciences, Chennai 602105, Tamil Nadu, India
Department of Mathematics and Sciences, Prince Sultan University, Riyadh 11586, Saudi Arabia
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Abstract

In this article, we present the concepts of O -generalized F -contraction of type- ( 1 ), type- ( 2 ) and prove several fixed point theorems for a self mapping in b - metric-like space. The proved results generalize and extend some of the well known results in the literature. An example to support our result is presented. As an application of our results, we demonstrate the existence of a unique solution to an integral equation.

Keywords

O-generalized F-contraction of type-(1) and type-(2)fixed pointO-complete b-metric-like spaces
CLC number: 47H10, 54H25

References

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AIMS Mathematics
Volume 8 Issue 1,
January 2023
Pages 1022-1039
DOI: 10.3934/math.2023050

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Prakasam SK, Gnanaprakasam AJ, Ege O, et al. Fixed point for an O g F -c in O -complete b -metric-like spaces. AIMS Mathematics, 2023, 8(1): 1022-1039. https://doi.org/10.3934/math.2023050

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Received: 22 July 2022
Revised: 04 September 2022
Accepted: 26 September 2022
Published: 15 January 2023
©2023 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)