2024 : 12 : 22
Somaye Jafari

Somaye Jafari

Academic rank: Assistant Professor
ORCID: https://orcid.org/0000-0002-3832-3177
Education: PhD.
ScopusId: 56548294300
HIndex:
Faculty: Science
Address: Arak University
Phone:

Research

Title
A Proximal Point Algorithm for Finding a Common Zero of a Finite Family of Maximal Monotone Operators
Type
JournalPaper
Keywords
Maximal monotone operator, Proximal point algorithm, Nonexpansive map, Resolvent operator.
Year
2019
Journal Sahand Communications in Mathematical Analysis
DOI
Researchers Mohsen Tahernia ، Sirous Moradi ، Somaye Jafari

Abstract

In this paper, we consider a proximal point algorithm for nding a common zero of a nite family of maximal monotone operators in real Hilbert spaces. Also, we give a necessary and sufficient condition for the common zero set of nite operators to be nonempty, and by showing that in this case, this iterative sequence converges strongly to the metric projection of some point onto the set of common zeros of operators.