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

Kyung Soo Kim

Abstract


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 modiffed viscosity inexact Mann iteration fxng solves the solution of some variational inequality.

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ISSN: 1229-1595 (Print), 2466-0973 (Online)

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