Korean Journal of Mathematics

The Kangwon-Kyungki Mathematical Society (강원경기수학회)
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APPROXIMATION RESULTS OF A THREE STEP ITERATION METHOD IN BANACH SPACE

  • Omprakash Sahu (Department of Mathematics, Babu Pandhri Rao Kridatt Govt. College Silouti) ;
  • Amitabh Banerjee (Department of Mathematics, Govt. J. Y. Chhattisgarh College)
  • Received : 2023.04.29
  • Accepted : 2023.08.14
  • Published : 2023.09.30
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Abstract

The purpose of this paper is to introduce a new three-step iterative process and show that our iteration scheme is faster than other existing iteration schemes in the literature. We provide a numerical example supported by graphs and tables to validate our proofs. We also prove convergence and stability results for the approximation of fixed points of the contractive-like mapping in the framework of uniformly convex Banach space. In addition, we have established some weak and strong convergence theorems for nonexpansive mappings.

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References

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