Viscosity explicit-type method for solving equilibrium and fixed point problems in hadamard spaces

Godwin Chidi Ugwunnadi, Chibueze Christian Okeke

Research output: Contribution to journalArticlepeer-review

Abstract

In this paper, we introduce explicit viscosity approximation method for finding common solution of equilibrium problem for pseudomonotone bifunction and common fixed point of generalized demimetric mappings in Hadamard space. We prove strong convergence of our propose algorithm. Using this result, we obtain new strong convergence theorems in Hadamard space. Our result generalize and complements some recent results in literature.

Original languageEnglish
Pages (from-to)73-96
Number of pages24
JournalAdvances in Nonlinear Variational Inequalities
Volume24
Issue number1
Publication statusPublished - Jan 2021
Externally publishedYes

Keywords

  • CAT(0) space
  • Equilibrium problem
  • Fixed point, ∆−convergence
  • Generalized Demimetric mapping
  • Strong convergence
  • Viscosity method

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