Iterative approximation of common solution of variational inequality and certain optimization problems with multiple output sets in Hadamard space

Hammed Anuoluwapo Abass, Olawale Kazeem Oyewole*, Olayinka Martins Onifade, Ojen Kumar Narain

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

In this paper, our main interest is to propose a viscosity iterative method for approximating solutions of variational inequality problems, resolvents of monotone operators and fixed points of ρ-demimetric mappings with multiple output sets in Hadamard spaces. We prove a strong convergence result for approximating the solutions of the aforementioned problems under some mild conditions. Also, we present an application of our main result to a convex minimization problem. Our results improve and generalize many related results in the literature.

Original languageEnglish
JournalAnalysis (Germany)
DOIs
Publication statusAccepted/In press - 2024
Externally publishedYes

Keywords

  • Demimetric mapping
  • Hadamard spaces
  • fixed point problem
  • monotone operator
  • viscosity algorithm

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