Nonlinear Functional Analysis and Applications

Kyungnam University, Department of Mathematics Eduaction (경남대학교 수학교육과)
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CONVERGENCE THEOREMS FOR A HYBRID PAIR OF SINGLE-VALUED AND MULTI-VALUED NONEXPANSIVE MAPPING IN CAT(0) SPACES

  • Naknimit, Akkasriworn (Department of Mathematics, Faculty of Science and Technology, Rambhai Barni Rajabhat University) ;
  • Anantachai, Padcharoen (Department of Mathematics, Faculty of Science and Technology, Rambhai Barni Rajabhat University) ;
  • Ho Geun, Hyun (Department of Mathematics Education, Kyungnam University)
  • Received : 2021.09.23
  • Accepted : 2022.04.10
  • Published : 2022.12.06
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Abstract

In this paper, we present a new mixed type iterative process for approximating the common fixed points of single-valued nonexpansive mapping and multi-valued nonexpansive mapping in a CAT(0) space. We demonstrate strong and weak convergence theorems for the new iterative process in CAT(0) spaces, as well as numerical results to support our theorem.

Keywords

Acknowledgement

The first and second authors were supported by he Research and Development Institute, Rambhai Barni Rajabhat University.

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