Metric Characterizations of -Well-Posedness for a System of Mixed Quasivariational-Like Inequalities in Banach Spaces

L. C. Ceng and Y. C. Lin

Journal of Applied Mathematics, 2012, vol. 2012, 1-22

Abstract:

The purpose of this paper is to investigate the problems of the well-posedness for a system of mixed quasivariational-like inequalities in Banach spaces. First, we generalize the concept of -well-posedness to the system of mixed quasivariational-like inequalities, which includes symmetric quasi-equilibrium problems as a special case. Second, we establish some metric characterizations of -well-posedness for the system of mixed quasivariational-like inequalities. Under some suitable conditions, we prove that the -well-posedness is equivalent to the existence and uniqueness of solution for the system of mixed quasivariational-like inequalities. The corresponding concept of -well-posedness in the generalized sense is also considered for the system of mixed quasivariational-like inequalities having more than one solution. The results presented in this paper generalize and improve some known results in the literature.

Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnljam:264721

DOI: 10.1155/2012/264721

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