文章基本信息

标题：Δ-convergence for proximal point algorithm and fixed point problem in CAT(0) spaces
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作者：Shamshad Husain ; Nisha Singh
期刊名称：Fixed Point Theory and Applications
印刷版ISSN：1687-1820
电子版ISSN：1687-1812
出版年度：2019
卷号：2019
期号：1
页码：1-19
DOI：10.1186/s13663-019-0658-3
出版社：Hindawi Publishing Corporation
摘要：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 function. The results in this paper generalize the corresponding results given by some authors. Moreover, numerical example is given to illustrate and show the Δ-convergence of the proposed algorithm for supporting our result.
关键词：Proximal point algorithm; Total asymptotically nonexpansive mapping; Nonexpansive multivalued mapping; -convergence