Approximation of fixed points for enriched Bγ,µ mapping using a new iterative algorithm in CAT(0) space

Name: Approximation of fixed points for enriched Bγ,µ mapping using a new iterative algorithm in CAT(0) space
Keywords: QA299.6-433, CAT(0) space, fixed point, Bγ,µ mapping, QA801-939, Analytic mechanics, Probabilities. Mathematical statistics, Analysis, QA273-280, averaged mapping

N. Goswami; D.D. Pathak

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Article . 2025 . Peer-reviewed

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BULLETIN OF THE KARAGANDA UNIVERSITY-MATHEMATICS

Article . 2025

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Approximation of fixed points for enriched Bγ,µ mapping using a new iterative algorithm in CAT(0) space

descriptionPublicationkeyboard_double_arrow_right Article 30 Jun 2025Publisher:Karagandy University of the name of academician E.A. BuketovJournal:BULLETIN OF THE KARAGANDA UNIVERSITY-MATHEMATICS, volume 118, pages 60-75 (issn: 2518-7929, eissn: 2663-5011,

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Authors: N. Goswami; D.D. Pathak;

doi: 10.31489/2025m2/60-75

Approximation of fixed points for enriched Bγ,µ mapping using a new iterative algorithm in CAT(0) space

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Abstract

In this paper, we define enriched Bγ,µ mapping in CAT(0) space and derive some fixed point results for such mapping with the help of averaged mapping. Our results extend some existing results. A new iterative algorithm is developed in CAT(0) space to approximate the fixed point of enriched Bγ,µ mapping. ∆-convergence and strong convergence of this iterative algorithm for enriched Bγ,µ mapping is proved.

Related Organizations

Gauhati University
India

Keywords

QA299.6-433, CAT(0) space, fixed point, Bγ,µ mapping, QA801-939, Analytic mechanics, Probabilities. Mathematical statistics, Analysis, QA273-280, averaged mapping

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