MODIFIED PROXIMAL POINT ALGORITHM FOR MINIMIZATION AND FIXED POINT PROBLEM IN CAT(0) SPACES

MODIFIED PROXIMAL POINT ALGORITHM FOR MINIMIZATION AND FIXED POINT PROBLEM IN CAT(0) SPACES

In this paper, we study modified-type proximal point algorithm for approximating a common solution of a lower semi-continuous mapping and fixed point of total asymptotically nonexpansive mapping in complete CAT(0) spaces. Under suitable conditions, some strong convergence theorems of the proposed al...

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Bibliographic Details
Main Author: Godwin Chidi Ugwunnadi
Format: Article
Language:English
Published: Ural Branch of the Russian Academy of Sciences and Ural Federal University named after the first President of Russia B.N.Yeltsin, Krasovskii Institute of Mathematics and Mechanics 2021-07-01
Series:Ural Mathematical Journal
Subjects:
proximal point algorithm, total asymptotically nonexpansive mapping, fixed point, $\triangle$ convergence, strong convergence, cat(0) space
Online Access:https://umjuran.ru/index.php/umj/article/view/276
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