Approximating common fixed points of a family of non-self mappings in CAT(0) spaces

Abebe Regassa Tufa, Habtu Zegeye

Research output: Contribution to journalArticlepeer-review

Abstract

In this paper, we construct an iterative scheme for approximating common fixed points of a countable family of quasi-nonexpansive non-self mappings in a complete CAT(0) space. In addition, we prove ▵-convergence and strong convergence results of the scheme under appropriate conditions. Moreover, we construct an iterative scheme for approximating common fixed points of a countable family of demicontractive mappings and establish strong convergence result of the scheme under some mild conditions. Our results improve and generalize most of the results in the literature.

Original languageEnglish
Article number3
JournalBoletin de la Sociedad Matematica Mexicana
Volume28
Issue number1
DOIs
Publication statusPublished - Mar 2022

All Science Journal Classification (ASJC) codes

  • General Mathematics

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