On fixed proximal pairs of $ E_r $-mappings

Cristina Calineata; Teodor Turcanu

doi:10.3934/math.20231362

AIMS Mathematics (Sep 2023)

On fixed proximal pairs of $ E_r $-mappings

Cristina Calineata,
Teodor Turcanu

Affiliations

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

DOI: https://doi.org/10.3934/math.20231362
Journal volume & issue: Vol. 8, no. 11
pp. 26632 – 26649

Abstract

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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.

Published in AIMS Mathematics

ISSN: 2473-6988 (Online)
Publisher: AIMS Press
Country of publisher: United States
LCC subjects: Science: Mathematics
Website: http://www.aimspress.com/journal/Math

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