Sensitivity analysis of generalized set-valued quasi-variational<br>
inclusion in Banach spaces

ZENG Lu-chuan;YAO Jen-chih

doi:10.1007/s10483-007-0111-1

Applied Mathematics and Mechanics >

2007 , Vol. 28 >Issue 1: 97 - 102

DOI: https://doi.org/10.1007/s10483-007-0111-1

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Sensitivity analysis of generalized set-valued quasi-variational
inclusion in Banach spaces

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1. Department of Mathematics, Shanghai Normal University, Shanghai 200234, P. R. China
2. Department of Applied Mathematics, National Sun
  Yat-sen University,Kaohsiung, Taiwan 804, P. R. China

Received date: 2005-04-26

Revised date: 2006-10-12

Online published: 2007-01-18

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Abstract

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

Key words： generalized set-valued quasi-variational inclusions; generalized resolvent equations; sensitivity analysis; Lipschitz continuous operators; Banach space

Cite this article

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) : 97 -102 . DOI: 10.1007/s10483-007-0111-1

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