Viscosity Method for Hierarchical Fixed Point and Variational Inequalities With Applications

ZHANG Shi-sheng; WANG Xiong-rui; H. W. Joseph LEE; Chi Kin CHAN

doi:10.3879/j.issn.1000-0887.2011.02.011

Volume 32 Issue 2

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ZHANG Shi-sheng, WANG Xiong-rui, H. W. Joseph LEE, Chi Kin CHAN. Viscosity Method for Hierarchical Fixed Point and Variational Inequalities With Applications[J]. Applied Mathematics and Mechanics, 2011, 32(2): 231-240. doi: 10.3879/j.issn.1000-0887.2011.02.011

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Viscosity Method for Hierarchical Fixed Point and Variational Inequalities With Applications

doi: 10.3879/j.issn.1000-0887.2011.02.011

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

Received Date: 2010-10-02
Rev Recd Date: 2011-01-06
Publish Date: 2011-02-15

Abstract

Abstract

A viscosity method for a hierarchical fixed point approach to variational inequality problems was presented,which was used to solve variational inequalities where the involving mappings were nonexpansive and the solutions were sought in the set of the fixed points of another nonexpansive mapping. As applications,the results were utilized to study the monotone variational inequality problem,convex programming problem,hierarchical minimization problem and quadratic minimization problem over fixed point sets.
- hierarchical fixed point,
- nonexpansive mapping,
- fixed point,
- viscosity approximation,
- hierarchical minimization

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References(18)

References

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