Parallel hybrid methods for generalized equilibrium problems and asymptotically strictly pseudocontractive mappings

 http://repository.vnu.edu.vn/handle/VNU_123/28651

In this paper, we propose two novel parallel hybrid methods for finding a common element of the set of solutions of a finite family of generalized equilib-rium problems for monotone bifunctions {f i} N i=1 andα-inverse strongly monotone operators{Ai} N i=1 and the set of common fixed points of a finite family of (asymptot-ically) κ-strictly pseudocontractive mappings Sj M j=1 in Hilbert spaces.

The strong convergence theorems are established under the standard assumptions imposed on equilibrium bifunctions and operators. Some numerical examples are presented to illustrate the efficiency of the proposed parallel methods.

Title: 

	Parallel hybrid methods for generalized equilibrium problems and asymptotically strictly pseudocontractive mappings
Authors:	Dang Van Hieu
Keywords:	Hybrid method Equilibrium problem Strictly pseudocontractive mapping Parallel computation
Issue Date:	2017
Publisher:	SPRINGER HEIDELBERG, TIERGARTENSTRASSE 17, D-69121 HEIDELBERG, GERMANY
Citation:	ISIKNOWLEDGE
Abstract:	In this paper, we propose two novel parallel hybrid methods for finding a common element of the set of solutions of a finite family of generalized equilib-rium problems for monotone bifunctions {f i} N i=1 andα-inverse strongly monotone operators{Ai} N i=1 and the set of common fixed points of a finite family of (asymptot-ically) κ-strictly pseudocontractive mappings Sj M j=1 in Hilbert spaces. The strong convergence theorems are established under the standard assumptions imposed on equilibrium bifunctions and operators. Some numerical examples are presented to illustrate the efficiency of the proposed parallel methods.
Description:	TNS06996 ; JOURNAL OF APPLIED MATHEMATICS AND COMPUTING Volume: 53 Issue: 1-2 Pages: 531-554 Published: FEB 2017
URI:	http://repository.vnu.edu.vn/handle/VNU_123/28651 http://link.springer.com/article/10.1007/s12190-015-0980-9
ISSN:	1598-5865 1865-2085
Appears in Collections:	Bài báo của ĐHQGHN trong Web of Science