Well-posed symmetric vector quasi-equilibrium problems

In this paper, we consider well-posedness of symmetric vector quasi-equilibrium problems. Based on a nonlinear scalarization technique, we first establish the bounded rationality model M for symmetric vector quasi-equilibrium problems, and then introduce a well-posedness concept for symmetric vector...

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Bibliographic Details
Published in:Journal of inequalities and applications 2015-07, Vol.2015 (1), p.1-10, Article 232
Main Authors: Deng, Xicai, Xiang, Shuwen
Format: Article
Language:English
Subjects:
Analysis
Applications of Mathematics
Inequalities
Mathematical analysis
Mathematics
Mathematics and Statistics
Nonlinearity
Symmetry
Vectors (mathematics)
Well posed problems
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Summary:In this paper, we consider well-posedness of symmetric vector quasi-equilibrium problems. Based on a nonlinear scalarization technique, we first establish the bounded rationality model M for symmetric vector quasi-equilibrium problems, and then introduce a well-posedness concept for symmetric vector quasi-equilibrium problems, which unifies its Hadamard and Tykhonov well-posedness. Finally, sufficient conditions on the well-posedness for symmetric vector quasi-equilibrium problems are given.
ISSN:1029-242X
1025-5834
1029-242X
DOI:10.1186/s13660-015-0749-6