New iterative methods for finding a common zero of a finite family of monotone operators in Hilbert spaces

Jong Kyu Kim; Truong Minh Tuyen

doi:10.4134/BKMS.b160581

Bulletin of the
Korean Mathematical Society BKMS

ISSN(Print) 1015-8634 ISSN(Online) 2234-3016

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Bull. Korean Math. Soc. 2017; 54(4): 1347-1359

Online first article April 11, 2017 Printed July 31, 2017

https://doi.org/10.4134/BKMS.b160581

New iterative methods for finding a common zero of a finite family of monotone operators in Hilbert spaces

Jong Kyu Kim and Truong Minh Tuyen

Kyungnam University, Thainguyen University

Abstract

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Abstract

The purpose of this paper is to give some new iterative methods for finding a common zero of a finite family of monotone operators in Hilbert spaces. We also give the applications of the obtained result for the convex feasibility problem and constrained convex optimization problem in Hilbert spaces.

Keywords: monotone operators, proximal point algorithm, common zero

MSC numbers: 47H06, 47H09, 47H10, 47J25