Approximation of common solution of finite family of monotone inclusion and fixed point problems for demicontractive multivalued mappings in CAT(0) spaces

K. O. Aremu, L. O. Jolaoso, C. Izuchukwu, O. T. Mewomo*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

13 Citations (Scopus)

Abstract

In this paper, we use the gate condition on two multivalued k-demicontractive mappings to approximate a common solution of a finite family of monotone inclusion problem and fixed point problem in CAT(0) space. Furthermore, we propose a Halpern-type proximal point algorithm and prove its strong convergence to a common solution of a finite family of monotone inclusion problems and fixed point problem for two multivalued k-demicontractive mappings in a complete CAT(0) space. We also applied our result to the problem of finding a common solution of a finite family of minimization problem and fixed point problem in CAT(0) space. Finally, numerical experiments of our result are presented to further show its applicability.

Original languageEnglish
Pages (from-to)13-34
Number of pages22
JournalRicerche di Matematica
Volume69
Issue number1
DOIs
Publication statusPublished - 1 Jun 2020
Externally publishedYes

Keywords

  • CAT(0) spaces
  • Demicontractive multivalued mappings
  • Fixed point problem
  • Gate condition
  • Monotone inclusion problem

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