Proximal Point Algorithm for Nonexpansive Mappings in Hadamard Spaces Based on SRJ Iteration Process

  • Authors

    • Samir Dashputre
    • Rakesh Tiwari
    • Jaynendra Shrivas Hemchand Yadav Vishwavidyalaya Durg(C.G.)
    2023-11-05
    https://doi.org/10.14419/ijamr.v12i1.32376

  • In this paper, We provide a new modified proximal point approach utilizing fixed point iterates of nonexpansive mappings in Hadamard space and show that the sequence created by our iterative process converges to a minimizer of a convex function and a fixed point of mappings. Finally, we present a numerical illustration for supporting our main result. Our results obtained in this paper improve, extend and unify results of Khan-Abbas [23], Cholamjiak et al. [10] and Dashputre et al. [11].

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    Dashputre, S., Tiwari, R., & Shrivas, J. (2023). Proximal Point Algorithm for Nonexpansive Mappings in Hadamard Spaces Based on SRJ Iteration Process. International Journal of Applied Mathematical Research, 12(1), 3-10. https://doi.org/10.14419/ijamr.v12i1.32376