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Research Article | Open Access

Fixed point results on triple controlled quasi rectangular metric like spaces

Mazhar Mehmood1( )Abdullah Shoaib1Nabil Mlaiki2( )
Department of Mathematics and Statistics, Riphah International University, Islamabad-44000, Pakistan
Department of Mathematics and Sciences, Prince Sultan University, Riyadh 11586, Saudi Arabia
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Abstract

In this article, by utilizing the idea of controlled functions, we present a novel notion of triple controlled quasi rectangular metric like spaces and prove Banach fixed point principal in such spaces. A topology in such spaces and its topological properties have been discussed. The result, presented here is a new contribution to the field of fixed point theory. Examples of this new structure are given.

CLC number: 47H10, 54H25

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AIMS Mathematics
Pages 10049-10066

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Cite this article:
Mehmood M, Shoaib A, Mlaiki N. Fixed point results on triple controlled quasi rectangular metric like spaces. AIMS Mathematics, 2023, 8(5): 10049-10066. https://doi.org/10.3934/math.2023509

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Received: 02 January 2023
Revised: 10 February 2023
Accepted: 20 February 2023
Published: 15 May 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)