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Research Article | Open Access

On fixed proximal pairs of E r -mappings

Cristina Calineata, Teodor Turcanu( )
National University of Science and Technology POLITEHNICA Bucharest (NUSTPB), Department of Mathematics and Informatics, Splaiul Independentei 313, 060042, Bucharest, Romania
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Abstract

In this paper we introduce a Garcia-Falset-type of noncyclical mappings and study the convergence of the iterates generated by a Thakur-type iteration scheme to the fixed proximal pairs of the new class of mappings.

Keywords

proximal pairsnoncyclic mappingsHadamard spaces
CLC number: 47H09, 47H10

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AIMS Mathematics
Volume 8 Issue 11,
November 2023
Pages 26632-26649
DOI: 10.3934/math.20231362

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Cite this article:
Calineata C, Turcanu T. On fixed proximal pairs of E r -mappings. AIMS Mathematics, 2023, 8(11): 26632-26649. https://doi.org/10.3934/math.20231362

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Received: 31 July 2023
Revised: 11 September 2023
Accepted: 12 September 2023
Published: 15 November 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)