Iterative Methods for Common Fixed Points of a Finite Family of Non-self Mappings

In memoriam Professor Charles E. Chidume (1947–2021)

Authors

  • Abebe Regassa Tufa University of Botswana

Keywords:

fixed points, demicontractive mappings, $k$-strictly pseudocontractive mappings, non-self mappings

Abstract

In this paper, iterative processes involving a finite family  of non-self mappings defined on a nonempty closed convex subset of a complete CAT(0) space are constructed. Some strong convergence and $\triangle$-convergence results for approximating common fixed points of a finite family of $k$-strictly pseudocontractive mappings are obtained. In addition, strong convergence results for approximating a common fixed point of a finite family of demicontractive non-self mappings are obtained under some appropriate conditions. The results obtained in this paper improve, generalize and complement  many of the results in the literature.

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Published

2023-09-30

How to Cite

Tufa, A. (2023). Iterative Methods for Common Fixed Points of a Finite Family of Non-self Mappings: In memoriam Professor Charles E. Chidume (1947–2021). Thai Journal of Mathematics, 21(3), 537–552. Retrieved from https://thaijmath2.in.cmu.ac.th/index.php/thaijmath/article/view/1525

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