Nonlinear Functional Analysis and Applications

Kyungnam University, Department of Mathematics Eduaction (경남대학교 수학교육과)
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APPROXIMATING COMMON FIXED POINT OF THREE MULTIVALUED MAPPINGS SATISFYING CONDITION (E) IN HYPERBOLIC SPACES

  • Austine Efut Ofem (School of Mathematics, Statistics and Computer Science, University of KwaZulu-Natal) ;
  • Godwin Chidi Ugwunnadi (Department of Mathematics, University of Eswatini, Department of Mathematics and Applied Mathematics, Sefako Makgatho Health Sciences University) ;
  • Ojen Kumar Narain (School of Mathematics, Statistics and Computer Science, University of KwaZulu-Natal) ;
  • Jong Kyu Kim (Department of Mathematics Education, Kyungnam University)
  • Received : 2022.07.19
  • Accepted : 2023.04.12
  • Published : 2023.09.15
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Abstract

In this article, we introduce the hyperbolic space version of a faster iterative algorithm. The proposed iterative algorithm is used to approximate the common fixed point of three multi-valued almost contraction mappings and three multi-valued mappings satisfying condition (E) in hyperbolic spaces. The concepts weak w2-stability involving three multi-valued almost contraction mappings are considered. Several strong and △-convergence theorems of the suggested algorithm are proved in hyperbolic spaces. We provide an example to compare the performance of the proposed method with some well-known methods in the literature.

Keywords

Acknowledgement

The fourth author was supported by the Basic Science Research Program through the National Research Foundation(NRF) Grant funded by Ministry of Education of the republic of Korea (2018R1D1A1B07045427).

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