On the Generalized Mixed Equilibrium Problem in Banach Spaces

ZHANG Shi-sheng

doi:10.3879/j.issn.1000-0887.2009.09.004

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ZHANG Shi-sheng. On the Generalized Mixed Equilibrium Problem in Banach Spaces[J]. Applied Mathematics and Mechanics, 2009, 30(9): 1033-1041. doi: 10.3879/j.issn.1000-0887.2009.09.004

Citation:

ZHANG Shi-sheng. On the Generalized Mixed Equilibrium Problem in Banach Spaces[J]. Applied Mathematics and Mechanics, 2009, 30(9): 1033-1041. doi: 10.3879/j.issn.1000-0887.2009.09.004

Citation:

ZHANG Shi-sheng. On the Generalized Mixed Equilibrium Problem in Banach Spaces[J]. Applied Mathematics and Mechanics, 2009, 30(9): 1033-1041. doi: 10.3879/j.issn.1000-0887.2009.09.004

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On the Generalized Mixed Equilibrium Problem in Banach Spaces

doi: 10.3879/j.issn.1000-0887.2009.09.004

ZHANG Shi-sheng

Department of Mathematics, Yibin University, Yibin, Sichuan 644007, P. R. China

Received Date: 2009-04-04
Rev Recd Date: 2009-07-24
Publish Date: 2009-09-15

Abstract

Abstract

The purpose is by using hybrid algorithm to find a common element of the set of solutions for a generalized mixed equilibrium problem,the set of solutions for variational inequality problem and the set of common fixed points for a finite family of quasi-Φ-nonexpansive mappings in a uniformly smooth and strictly convex Banach space.By utilizing the results for the study of optimization problem,it shows that the results improve and extend the corresponding results announced recently by many others such as Ceng,Takahashi,Qin,et al.
- generalized mixed equilibrium problem,
- mixed equilibrium problem,
- equilibrium problem,
- variational inequality,
- quasi-Φ- nonexpansive mapping,
- maximal monotone operator

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References(12)

References

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