Sensitivity Analysis of Generalized Set-Valued Quasi-Variational Inclusion in Banach Spaces

ZENG Lu-chuan; YAO Jen-chih

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ZENG Lu-chuan, YAO Jen-chih. Sensitivity Analysis of Generalized Set-Valued Quasi-Variational Inclusion in Banach Spaces[J]. Applied Mathematics and Mechanics, 2007, 28(1): 85-91.

Citation:

ZENG Lu-chuan, YAO Jen-chih. Sensitivity Analysis of Generalized Set-Valued Quasi-Variational Inclusion in Banach Spaces[J]. Applied Mathematics and Mechanics, 2007, 28(1): 85-91.

Citation:

ZENG Lu-chuan, YAO Jen-chih. Sensitivity Analysis of Generalized Set-Valued Quasi-Variational Inclusion in Banach Spaces[J]. Applied Mathematics and Mechanics, 2007, 28(1): 85-91.

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Sensitivity Analysis of Generalized Set-Valued Quasi-Variational Inclusion in Banach Spaces

ZENG Lu-chuan¹,
YAO Jen-chih²

1.
Department of Mathematics, Shanghai Normal University, Shanghai 200234, P. R. China;

Received Date: 2005-04-26
Rev Recd Date: 2006-10-12
Publish Date: 2007-01-15

Abstract

Abstract

The sensitivity analysis for a class of generalized set-valued quasi-variational inclusion problems is investigated in the setting of Banach spaces. Equivalence of these problems to the class of generalized resolvent equations by using the resolvent operator technique without assuming the differentiability and monotonicity of the given data is established.
- generalized set-valued quasi-variational inclusion,
- generalized resolvent equation,
- sensitivity analysis,
- Lipschitz continuous operator,
- Banach space

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References(10)

References

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