Nonlinear Functional Analysis and Applications

Kyungnam University, Department of Mathematics Eduaction (경남대학교 수학교육과)
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AN EFFICIENT THIRD ORDER MANN-LIKE FIXED POINT SCHEME

  • Pravin, Singh (Department of Mathematics, School of Mathematics Statistics and Computer Sciences, University of KwaZulu-Natal) ;
  • Virath, Singh (Department of Mathematics, School of Mathematics Statistics and Computer Sciences, University of KwaZulu-Natal) ;
  • Shivani, Singh (Department of Decision Sciences, School of Economic and Financial Sciences, University of South Africa)
  • Received : 2021.12.09
  • Accepted : 2022.07.26
  • Published : 2022.12.06
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Abstract

In this paper, we introduce a Mann-like three step iteration method and show that it can be used to approximate the fixed point of a weak contraction mapping. Furthermore, we prove that this scheme is equivalent to the Mann iterative scheme. A comparison is made with the other third order iterative methods. Results are presented in a table to support our conclusion.

Keywords

Acknowledgement

The author acknowledges the grants that supported the research.

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