A GENERALIZED MEAN PROXIMAL ALGORITHM FOR SOLVING GENERALIZED MIXED EQUILIBRIUM PROBLEMS

被引：0

作者：

Saddeek, A. M. ^{[1
]}

机构：

[1] Assiut Univ, Dept Math, Fac Sci, Assiut, Egypt

来源：

BULLETIN OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2015年 / 7卷 / 01期

关键词：

Generalized mean proximal algorithm; generalized mixed equilibrium problem; generalized resolvent mapping; theta-pseudomonotone mapping; delta- Lipschitz continuous mapping; convergence; Hilbert space; fixed point;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In a recent paper [14], the fixed point and resolvent techniques have been used to give an iterative algorithm for solving generalized mixed equilibrium problem (GMEP). In this paper, an extended iterative algorithm, called generalized mean proximal algorithm (GMPA) is presented and its convergence to the solution of GMEP with theta-pseudomonotne and delta- Lipschitz continuous mappings in Hilbert spaces is proved. Our approach is based on the basic notions of generalized resolvents and fixed points. The results improve and extend important recent results.

引用

页码：1 / 11

页数：11

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