Hybrid Projection Method for Generalized Mixed Equilibrium Problems,Variational Inequality Problems and Fixed Point Problems in Banach Spaces

WANG Ya-qin; ZENG Lu-chuan

doi:10.3879/j.issn.1000-0887.2011.02.012

Volume 32 Issue 2

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WANG Ya-qin, ZENG Lu-chuan. Hybrid Projection Method for Generalized Mixed Equilibrium Problems,Variational Inequality Problems and Fixed Point Problems in Banach Spaces[J]. Applied Mathematics and Mechanics, 2011, 32(2): 241-252. doi: 10.3879/j.issn.1000-0887.2011.02.012

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Hybrid Projection Method for Generalized Mixed Equilibrium Problems,Variational Inequality Problems and Fixed Point Problems in Banach Spaces

doi: 10.3879/j.issn.1000-0887.2011.02.012

WANG Ya-qin¹,
ZENG Lu-chuan²

Department of Mathematics, Shaoxing University, Shaoxing, Zhejiang 312000, P. R. China;
Department of Mathematics, Shanghai Normal University, Shanghai 200234, P. R. China

Received Date: 2010-10-25
Rev Recd Date: 2010-12-30
Publish Date: 2011-02-15

Abstract

Abstract

A new hybrid projection iterative scheme was introduced for approximating a common elementof the solution set of a generalized mixed equilibrium problem,the solution set of a variational inequalityproblem and the set of fixed points of a relatively weak nonexpansive mapping in Banach spaces. The results obtained generalize and improve the recent ones announced by many others.

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References

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