• 제목/요약/키워드: Contractive like mapping

검색결과 3건 처리시간 0.015초

APPROXIMATION RESULTS OF A THREE STEP ITERATION METHOD IN BANACH SPACE

  • Omprakash Sahu;Amitabh Banerjee
    • Korean Journal of Mathematics
    • /
    • 제31권3호
    • /
    • pp.269-294
    • /
    • 2023

  • 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.

  • https://doi.org/10.11568/kjm.2023.31.3.269 인용 PDF

A NEW ITERATION METHOD FOR FIXED POINT OF NONEXPANSIVE MAPPING IN UNIFORMLY CONVEX BANACH SPACE

  • Omprakash, Sahu;Amitabh, Banerjee;Niyati, Gurudwan
    • Korean Journal of Mathematics
    • /
    • 제30권4호
    • /
    • pp.665-678
    • /
    • 2022

  • 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.

  • https://doi.org/10.11568/kjm.2022.30.4.665 인용 PDF KSCI