Korean Journal of Mathematics

The Kangwon-Kyungki Mathematical Society (강원경기수학회)
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A NEW ITERATION METHOD FOR FIXED POINT OF NONEXPANSIVE MAPPING IN UNIFORMLY CONVEX BANACH SPACE

  • Omprakash, Sahu (Department of Mathematics, Babu Pandhri Rao Kridatt Govt.College Silouti) ;
  • Amitabh, Banerjee (Department of Mathematics, Govt. J. Y. Chhattishgarh College Raipur) ;
  • Niyati, Gurudwan (Department of Mathematics, Govt. J. Y. Chhattishgarh College Raipur)
  • Received : 2022.01.03
  • Accepted : 2022.11.24
  • Published : 2022.12.30
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Abstract

The aim of this paper is to introduce a new iterative process and show that our iteration scheme is faster than other existing iteration schemes with the help of numerical examples. Next, we have established 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 convergence results for the approximation of the fixed points of a nonexpansive mapping.

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References

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