Well-posedness by perturbations of mixed variational inequalities in Banach spaces

Ya-Ping Fang, Nan-Jing Huang and Jen-Chih Yao

European Journal of Operational Research, 2010, vol. 201, issue 3, 682-692

Abstract: In this paper, we consider an extension of the notion of well-posedness by perturbations, introduced by Zolezzi for a minimization problem, to a mixed variational inequality problem in a Banach space. We establish some metric characterizations of the well-posedness by perturbations. We also show that under suitable conditions, the well-posedness by perturbations of a mixed variational inequality problem is equivalent to the well-posedness by perturbations of a corresponding inclusion problem and a corresponding fixed point problem. Also, we derive some conditions under which the well-posedness by perturbations of a mixed variational inequality is equivalent to the existence and uniqueness of its solution.

Keywords: Mixed; variational; inequality; Inclusion; problem; Fixed; point; problem; Well-posedness; by; perturbation; Uniqueness (search for similar items in EconPapers)
Date: 2010
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Citations: View citations in EconPapers (14)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:ejores:v:201:y:2010:i:3:p:682-692

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