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Sirous Moradi

Academic rank: Assistant Professor
ORCID:
Education: PhD.
ScopusId:
HIndex:
Faculty: Arak University
Address: Arak University
Phone:

Research

Title
The strong convergence of a proximal point algorithm in complete CAT(0) metric spaces
Type
JournalPaper
Keywords
Maximal monotone operator, proximal point algorithm, Hadamard space, nonexpansive mapping, resolvent operator
Year
2019
Journal HACET J MATH STAT
DOI
Researchers Mohsen Tahernia ، Sirous Moradi ، Somaye Jafari

Abstract

In this paper, we consider a proximal point algorithm for finding zeros of maximal mono- tone operators in complete CAT(0) spaces. First, a necessary and sufficient condition is presented for the zero set of the operator to be nonempty. Afterwards, we prove that, un- der suitable conditions, the proposed algorithm converges strongly to the metric projection of some point onto the zero set of the involving maximal monotone operator.