Halpern-type proximal point algorithm in complete CAT(0) metric spaces

First, Halpern-type proximal point algorithm is introduced in complete CAT(0) metric spaces. Then, Browder convergence theorem is considered for this algorithm and also we prove that Halpern-type proximal point algorithm converges strongly to a zero of the operator.

Bibliographic Details
Main Authors: Heydari Mohammad Taghi, Ranjbar Sajad
Format: Article
Language:English
Published: Sciendo 2016-11-01
Series:Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica
Subjects:
Online Access:https://doi.org/10.1515/auom-2016-0052