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Research Article | Open Access

On Maia type fixed point results via implicit relation

Ashis Bera1( )Pratikshan Mondal2Hiranmoy Garai3Lakshmi Kanta Dey4
Department of Mathematics, Vellore Institute Technology Chennai, India
Department of Mathematics, Durgapur Government College, Durgapur, India
Department of Science and Humanities, Siliguri Govt. Polytechnic, Siliguri, India
Department of Mathematics, National Institute of Technology Durgapur, India
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Abstract

In order to study Maia type fixed point results for several well-known contractions, we suggest two novel contractions called A -contraction and A -contraction. The majority of the Maia type fixed point results for various contractions can now be unified through these, which eliminate the need to manage various contractions individually. The advantage of including such contractions in the study of Maia type fixed point results has been demonstrated in suitable examples. We present an application of one of our established results towards the conclusion of the paper.

CLC number: 47H10, 54H25

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AIMS Mathematics
Pages 22067-22080

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Cite this article:
Bera A, Mondal P, Garai H, et al. On Maia type fixed point results via implicit relation. AIMS Mathematics, 2023, 8(9): 22067-22080. https://doi.org/10.3934/math.20231124

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Received: 19 February 2023
Revised: 18 May 2023
Accepted: 05 June 2023
Published: 15 September 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)