On fixed point convergence results for class of nonexpansivemappings in hyperbolic spaces via PJ iteration process

  • Authors

    • Jaynendra Shrivas Hemchand Yadav Vishwavidyalaya Durg(C.G.)
    • Rohit Kumar Verma
    • Priya Chandraker
    2024-03-22
    https://doi.org/10.14419/2wamtj79

  • In this paper, we provide certain fixed point results for a mean nonexpansive mapping, as well as a new iterative algorithm called PJ-iteration
    for approximating the fixed point of this class of mappings in the setting of hyperbolic spaces. Furthermore, we establish strong and
    ∆-convergence theorem for mean nonexpansive mapping in hyperbolic space. Finally, we present a numerical example to illustrate our
    main result and then display the efficiency of the proposed algorithm compared to different iterative algorithms in the literature. Our results
    obtained in this paper improve, extend and unify some related results in the literature.

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    Shrivas, J., Verma, R. K. ., & Chandraker, P. . (2024). On fixed point convergence results for class of nonexpansivemappings in hyperbolic spaces via PJ iteration process. International Journal of Applied Mathematical Research, 13(1), 12-19. https://doi.org/10.14419/2wamtj79