Approximating a Common Solution of Monotone Inclusion Problems and Fixed Point of Quasi-Pseudocontractive Mappings in CAT(0) Spaces

Professer Vogani Ndlovu, Lateef Olakunle Jolaoso*, Maggie Aphane, Safeer Hussein Khan

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)

Abstract

In this paper, we aimed to introduce a new viscosity-type approximation method for finding the common fixed point of a class of quasi-pseudocontractive mapping and a system of monotone inclusion problems in CAT(0) spaces. We proved some fixed-point properties concerning the class of quasi-pseudocontractive mapping in CAT(0) spaces, which is more general than many other mappings such as nonexpansive, quasi-nonexpansive, pseudocontractive and demicontractive mappings which have been studied by other authors. A strong convergence result is proved under some mild conditions on the control sequences and some numerical examples were presented to illustrate the performance and efficiency of the proposed method.

Original languageEnglish
Article number545
JournalAxioms
Volume11
Issue number10
DOIs
Publication statusPublished - Oct 2022

Keywords

  • CAT(0) spaces
  • fixed-point problems
  • monotone operators
  • quasi pseudocontraction
  • resolvent mappings

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