Nonlinear Functional Analysis and Applications

Kyungnam University, Department of Mathematics Eduaction (경남대학교 수학교육과)
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CONVERGENCE OF MODIFIED VISCOSITY INEXACT MANN ITERATION FOR A FAMILY OF NONLINEAR MAPPINGS FOR VARIATIONAL INEQUALITY IN CAT(0) SPACES

  • Kyung Soo Kim (Department of Mathematics Education, Kyungnam University)
  • Received : 2023.06.12
  • Accepted : 2023.09.07
  • Published : 2023.12.15
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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 modified viscosity inexact Mann iteration {xn} solves the solution of some variational inequality.

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Acknowledgement

The author would like to thank the referees for their valuable comments and suggestions which improved the presentation of this paper. This work was supported by Kyungnam University Foundation Grant, 2023.

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