Strong and weak convergence theorems for common solutions of generalized equilibrium problems and zeros of maximal monotone operators

L. C. Zeng; Q. H. Ansari; David S. Shyu; J. C. Yao

doi:10.1155/2010/590278

Strong and weak convergence theorems for common solutions of generalized equilibrium problems and zeros of maximal monotone operators

L. C. Zeng, Q. H. Ansari, David S. Shyu, J. C. Yao^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

17 Scopus citations

Abstract

The purpose of this paper is to introduce and study two modified hybrid proximal-point algorithms for finding a common element of the solution set EP of a generalized equilibrium problem and the set T-10∩T̃^-10 for two maximal monotone operators T and T̃ defined on a Banach space X . Strong and weak convergence theorems for these two modified hybrid proximal-point algorithms are established.

Original language	English
Article number	590278
Journal	Fixed Point Theory and Algorithms for Sciences and Engineering
Volume	2010
DOIs	https://doi.org/10.1155/2010/590278
State	Published - Jan 2010
Externally published	Yes

ASJC Scopus subject areas

Geometry and Topology
Applied Mathematics

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title = "Strong and weak convergence theorems for common solutions of generalized equilibrium problems and zeros of maximal monotone operators",

abstract = "The purpose of this paper is to introduce and study two modified hybrid proximal-point algorithms for finding a common element of the solution set EP of a generalized equilibrium problem and the set T-10∩{\~T}-10 for two maximal monotone operators T and {\~T} defined on a Banach space X . Strong and weak convergence theorems for these two modified hybrid proximal-point algorithms are established.",

author = "Zeng, \{L. C.\} and Ansari, \{Q. H.\} and Shyu, \{David S.\} and Yao, \{J. C.\}",

year = "2010",

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journal = "Fixed Point Theory and Algorithms for Sciences and Engineering",

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AU - Zeng, L. C.

AU - Ansari, Q. H.

AU - Shyu, David S.

AU - Yao, J. C.

PY - 2010/1

Y1 - 2010/1

N2 - The purpose of this paper is to introduce and study two modified hybrid proximal-point algorithms for finding a common element of the solution set EP of a generalized equilibrium problem and the set T-10∩T̃-10 for two maximal monotone operators T and T̃ defined on a Banach space X . Strong and weak convergence theorems for these two modified hybrid proximal-point algorithms are established.

AB - The purpose of this paper is to introduce and study two modified hybrid proximal-point algorithms for finding a common element of the solution set EP of a generalized equilibrium problem and the set T-10∩T̃-10 for two maximal monotone operators T and T̃ defined on a Banach space X . Strong and weak convergence theorems for these two modified hybrid proximal-point algorithms are established.

UR - https://www.scopus.com/pages/publications/77955405860

U2 - 10.1155/2010/590278

DO - 10.1155/2010/590278

M3 - Article

AN - SCOPUS:77955405860

SN - 1687-1820

VL - 2010

JO - Fixed Point Theory and Algorithms for Sciences and Engineering

JF - Fixed Point Theory and Algorithms for Sciences and Engineering

M1 - 590278

ER -

Strong and weak convergence theorems for common solutions of generalized equilibrium problems and zeros of maximal monotone operators

Abstract

ASJC Scopus subject areas

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