Metric Characterizations of α-Well-Posedness for a System of Mixed Quasivariational-Like Inequalities in Banach Spaces
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 α-well-posedness to the system of mixed quasivariational-like inequalities, which includes symmetric quasi-equ...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2012-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2012/264721 |
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| Summary: | 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 α-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 α-well-posedness for the system of mixed quasivariational-like
inequalities. Under some suitable conditions, we prove that the α-well-posedness is equivalent to the existence and uniqueness of solution for the system of mixed quasivariational-like
inequalities. The corresponding concept of α-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. |
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| ISSN: | 1110-757X 1687-0042 |