Convergence theorem for an intermixed iteration in $p$-uniformly convex metric space
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Published:2022-12-21
Issue:2
Volume:39
Page:459-475
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ISSN:1584-2851
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Container-title:Carpathian Journal of Mathematics
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language:
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Short-container-title:CJM
Author:
SAECHOU KANYANEE, ,KANGTUNYAKARN ATID,
Abstract
In this paper, we first introduce the intermixed algorithm in $p$-uniformly convex metric spaces, and then we prove $\Delta$-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 $\Delta$-convergence to solve the minimization problems in the framework of complete $p$-uniformly convex metric spaces. Finally, we give two examples in $L^p$ spaces and numerical examples to support our main results.
Publisher
Technical University of Cluj Napoca, North University Center of Baia Mare
Subject
General Mathematics