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Convergence theorem for an intermixed iteration in p-uniformly convex metric space
Author(s)
Saechou, Kanyanee
Date Issued
January 1, 2023
Type
Article
Abstract
In this paper, we first introduce the intermixed algorithm in p-uniformly convex metric spaces, and then we prove Δ-convergence of the proposed iterative method for finding a common element of the sets of fixed points of finite families of nonexpansive mappings in the framework of complete p-uniformly convex metric spaces. Furthermore, we apply our main theorem to prove Δ-convergence to solve the minimization problems in the framework of complete p-uniformly convex metric spaces. Finally, we give two examples in Lp spaces and numerical examples to support our main results.
Citation
Carpathian Journal of Mathematics, 39(2), 459-475, 2023