ResearchBib Share Your Research, Maximize Your Social Impacts
Sign for Notice Everyday Sign up >> Login

A Proximal Point Algorithm for Finding a Common Zero of a Finite Family of Maximal Monotone Operators

Journal: Sahand Communications in Mathematical Analysis (Vol.16, No. 1)

Publication Date:

Authors : ; ; ;

Page : 1-15

Keywords : Maximal monotone operator; Proximal point algorithm; Nonexpansive map; Resolvent operator;

Source : Download Find it from : Google Scholarexternal

Abstract

In this paper, we consider a proximal point algorithm for finding a common zero of a finite family of maximal monotone operators in real Hilbert spaces. Also, we give a necessary and sufficient condition for the common zero set of finite 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.

Last modified: 2019-10-14 16:37:35