On fixed proximal pairs of $ E_r $-mappings

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.

Bibliographic Details
Main Authors: Cristina Calineata, Teodor Turcanu
Format: Article
Language:English
Published: AIMS Press 2023-09-01
Series:AIMS Mathematics
Subjects:
Online Access:https://www.aimspress.com/article/doi/10.3934/math.20231362?viewType=HTML
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author Cristina Calineata
Teodor Turcanu
author_facet Cristina Calineata
Teodor Turcanu
author_sort Cristina Calineata
collection DOAJ
description 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.
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spelling doaj.art-2b886821e3fe4519a799adbf19cc6ae82023-10-10T01:21:31ZengAIMS PressAIMS Mathematics2473-69882023-09-01811266322664910.3934/math.20231362On fixed proximal pairs of $ E_r $-mappingsCristina Calineata0Teodor Turcanu1National University of Science and Technology POLITEHNICA Bucharest (NUSTPB), Department of Mathematics and Informatics, Splaiul Independentei 313, 060042, Bucharest, RomaniaNational University of Science and Technology POLITEHNICA Bucharest (NUSTPB), Department of Mathematics and Informatics, Splaiul Independentei 313, 060042, Bucharest, RomaniaIn 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.https://www.aimspress.com/article/doi/10.3934/math.20231362?viewType=HTMLproximal pairsnoncyclic mappingshadamard spaces
spellingShingle Cristina Calineata
Teodor Turcanu
On fixed proximal pairs of $ E_r $-mappings
AIMS Mathematics
proximal pairs
noncyclic mappings
hadamard spaces
title On fixed proximal pairs of $ E_r $-mappings
title_full On fixed proximal pairs of $ E_r $-mappings
title_fullStr On fixed proximal pairs of $ E_r $-mappings
title_full_unstemmed On fixed proximal pairs of $ E_r $-mappings
title_short On fixed proximal pairs of $ E_r $-mappings
title_sort on fixed proximal pairs of e r mappings
topic proximal pairs
noncyclic mappings
hadamard spaces
url https://www.aimspress.com/article/doi/10.3934/math.20231362?viewType=HTML
work_keys_str_mv AT cristinacalineata onfixedproximalpairsofermappings
AT teodorturcanu onfixedproximalpairsofermappings