Δ-convergence for proximal point algorithm and fixed point problem in CAT(0) spaces

Δ-convergence for proximal point algorithm and fixed point problem in CAT(0) spaces

Abstract In this paper, we prove the Δ-convergence of a modified proximal point algorithm for common fixed points in a CAT(0) space for different classes of generalized nonexpansive mappings including a total asymptotically nonexpansive mapping, a multivalued mapping, and a minimizer of a convex fun...

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Bibliographic Details
Main Authors: Shamshad Husain, Nisha Singh
Format: Article
Language:English
Published: SpringerOpen 2019-05-01
Series:Fixed Point Theory and Applications
Subjects:
Proximal point algorithm
Total asymptotically nonexpansive mapping
Nonexpansive multivalued mapping
Δ-convergence
Online Access:http://link.springer.com/article/10.1186/s13663-019-0658-3

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http://link.springer.com/article/10.1186/s13663-019-0658-3

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