Nonlinear Functional Analysis and Applications

Kyungnam University, Department of Mathematics Eduaction (경남대학교 수학교육과)
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CONVERGENCE THEOREMS FOR SP-ITERATION SCHEME IN A ORDERED HYPERBOLIC METRIC SPACE

  • Received : 2020.08.26
  • Accepted : 2021.04.11
  • Published : 2021.12.15
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Abstract

In this paper, we study the ∆-convergence and strong convergence of SP-iteration scheme involving a nonexpansive mapping in partially ordered hyperbolic metric spaces. Also, we give an example to support our main result and compare SP-iteration scheme with the Mann iteration and Ishikawa iteration scheme. Thus, we generalize many previous results.

Keywords

Acknowledgement

The authors are thankful to the anonymous referees for their valuable comments and suggestions.

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