Nonlinear Functional Analysis and Applications

Kyungnam University, Department of Mathematics Eduaction (경남대학교 수학교육과)
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CONVERGENCE THEOREMS FOR TWO NONLINEAR MAPPINGS IN CAT(0) SPACES

  • Sokhuma, Kritsana (Department of Mathematics, Faculty of Science and Technology, Phranakhon Rajabhat University) ;
  • Sokhuma, Kasinee (Department of Educational Research and Measurement, Faculty of Education, Nakhon Pathom Rajabhat University)
  • Received : 2021.02.26
  • Accepted : 2021.03.31
  • Published : 2022.09.01
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Abstract

In this paper, we construct an iteration scheme involving a hybrid pair of the Suzuki generalized nonexpansive single-valued and multi-valued mappings in a complete CAT(0) space. In process, we remove a restricted condition (called end-point condition) in Akkasriworn and Sokhuma's results [2] in Banach spaces and utilize the same to prove some convergence theorems. The results in this paper, are analogs of the results of Akkasriworn et al. [3] in Banach spaces.

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Acknowledgement

The author thanks for the support of the Institute for Research and Development, Phranakhon Rajabhat University.

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