A SOLUTION OF A GENERAL EQUILIBRIUM PROBLEM

Under the framework of a real Hilbert space, we introduce a new iterative method for finding a common element of the set of solution of a general equilibrium problem and the set of fixed points of a nonexpansive semigroup. Moreover, a numerical example is presented. This example grantee the main res...

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Bibliographic Details
Published in:Acta mathematica scientia 2013-11, Vol.33 (6), p.1598-1614
Main Authors: SAHEBI, H.R., RAZANI, A
Format: Article
Language:English
Subjects:
47H09
47H10
47J20
fixed point
general equilibrium problems
Group theory
Hilbert space
Iterative methods
Mathematical models
nonexpansive semigroup
strongly positive linear bounded operator
α-inverse strongly monotone mapping
不动点
均衡问题
实Hilbert空间
算例
迭代方法
非扩张半群
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Summary:Under the framework of a real Hilbert space, we introduce a new iterative method for finding a common element of the set of solution of a general equilibrium problem and the set of fixed points of a nonexpansive semigroup. Moreover, a numerical example is presented. This example grantee the main result of the paper.
ISSN:0252-9602
1572-9087
DOI:10.1016/S0252-9602(13)60108-3