On a system of generalized mixed equilibrium problems involving variational-like inequalities in banach spaces : existence and algorithmic aspects
Joint Authors
Source
Advances in Operations Research
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-18, 18 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-07-19
Country of Publication
Egypt
No. of Pages
18
Main Subjects
Information Technology and Computer Science
Abstract EN
We study the existence and the algorithmic aspect of a System of Generalized Mixed Equilibrium Problems involving variational-like inequalities (SGMEPs) in the setting of Banach spaces.
The approach adopted is based on the auxiliary principle technique and arguments from generalized convexity.
A new existence theorem for the auxiliary problem is established; this leads us to generate an algorithm which converges strongly to a solution of (SGMEP) under weaker assumptions.
When the study is reduced to the setting of reflexive Banach spaces, then it can be more relaxed by dropping the coercivity condition.
The results obtained in this paper are new and improve some recent studies in this field.
American Psychological Association (APA)
Mahdioui, H.& Chadli, O.. 2012. On a system of generalized mixed equilibrium problems involving variational-like inequalities in banach spaces : existence and algorithmic aspects. Advances in Operations Research،Vol. 2012, no. 2012, pp.1-18.
https://search.emarefa.net/detail/BIM-502715
Modern Language Association (MLA)
Mahdioui, H.& Chadli, O.. On a system of generalized mixed equilibrium problems involving variational-like inequalities in banach spaces : existence and algorithmic aspects. Advances in Operations Research No. 2012 (2012), pp.1-18.
https://search.emarefa.net/detail/BIM-502715
American Medical Association (AMA)
Mahdioui, H.& Chadli, O.. On a system of generalized mixed equilibrium problems involving variational-like inequalities in banach spaces : existence and algorithmic aspects. Advances in Operations Research. 2012. Vol. 2012, no. 2012, pp.1-18.
https://search.emarefa.net/detail/BIM-502715
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-502715