• Title/Summary/Keyword: modified viscosity inexact Mann iteration

Search Result 1, Processing Time 0.014 seconds

CONVERGENCE OF MODIFIED VISCOSITY INEXACT MANN ITERATION FOR A FAMILY OF NONLINEAR MAPPINGS FOR VARIATIONAL INEQUALITY IN CAT(0) SPACES

  • Kyung Soo Kim
    • Nonlinear Functional Analysis and Applications
    • /
    • v.28 no.4
    • /
    • pp.1127-1143
    • /
    • 2023
  • The purpose of this paper, we prove convergence theorems of the modified viscosity inexact Mann iteration process for a family of asymptotically quasi-nonexpansive type mappings in CAT(0) spaces. We also show that the limit of the modified viscosity inexact Mann iteration {xn} solves the solution of some variational inequality.