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Research Article | Open Access

Fixed point results for generalized almost contractions and application to a nonlinear matrix equation

Koti N. V. V. V. Prasad1, Vinay Mishra1, Zoran D. Mitrović2( ), Ahmad Aloqaily3,4, Nabil Mlaiki3
Department of Mathematics, Guru Ghasidas Vishwavidyalaya, A Central University, 495009, Bilaspur (C.G.), India
Faculty of Electrical Engineering, University of Banja Luka, Patre 5, 78000 Banja Luka, Bosnia and Herzegovina
Department of Mathematics and Sciences, Prince Sultan University, Riyadh, 11586 Saudi Arabia
School of computer, Data and Mathematical Sciences, Western Sydney University, Australia-Sydney-2150
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Abstract

The goal of this paper was to improve some known results of fixed points by using w-distances and properties of locally symmetric H -transitivity of binary relations. Also, we gave the application of the obtained results for finding the solution of nonlinear matrix equations. Finally, we gave a numerical example to demonstrate the applicability of our results.

Keywords

generalized almost contractionw-distancesymmetric locally H-transitive binary relationsnonlinear matrix equationrelational metric space
CLC number: 47H10, 54H25

References

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AIMS Mathematics
Volume 9 Issue 5,
May 2024
Pages 12287-12304
DOI: 10.3934/math.2024600

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Cite this article:
Prasad KNVVV, Mishra V, Mitrović ZD, et al. Fixed point results for generalized almost contractions and application to a nonlinear matrix equation. AIMS Mathematics, 2024, 9(5): 12287-12304. https://doi.org/10.3934/math.2024600

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Received: 02 December 2023
Revised: 12 March 2024
Accepted: 21 March 2024
Published: 15 May 2024
©2024 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)