α-Well-Posedness for Quasivariational Inequality Problems
نویسندگان
چکیده
منابع مشابه
Well-Posedness of Generalized Vector Quasivariational Inequality Problems
We introduce several types of the Levitin-Polyak well-posedness for a generalized vector quasivariational inequality problem with both abstract set constraints and functional constraints. Criteria and characterizations of these types of the Levitin-Polyak well-posednesses with or without gap functions of generalized vector quasivariational inequality problem are given. The results in this paper...
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and Applied Analysis 3 It is worth noting that if α 0, then the definitions of α-well-posedness, αwell-posedness in the generalized sense, L-α-well-posedness, and L-α-well-posedness in the generalized sense for MQVLI , respectively, reduce to those of the well-posedness, well-posedness in the generalized sense, L-well-posedness, and L-well-posedness in the generalized sense for MQVLI in 20 . We...
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In this paper, we introduce the concepts of extended well-posedness for quasivariational inequalities and establish some characterizations. We show that the extended well-posedness is equivalent to the existence and uniqueness of solutions under suitable conditions. In addition, the corresponding concepts of extended well-posedness in the generalized sense are introduced and investigated for qu...
متن کاملLevitin-Polyak Well-Posedness in Vector Quasivariational Inequality Problems with Functional Constraints
Copyright q 2010 J. Zhang et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. We introduce several types of Levtin-Polyak well-posedness for a vector quasivariational inequality with functional constraints. Necessary and/or suf...
متن کاملCharacterizations of α-well-posedness for parametric quasivariational inequalities defined by bifunctions
The purpose of this paper is to investigate the well-posedness issue of parametric quasivariational inequalities defined by bifunctions. We generalize the concept of α-well-posedness to parametric quasivariational inequalities having a unique solution and derive some characterizations of α-well-posedness. The corresponding concepts of α-wellposedness in the generalized sense are also introduced...
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ژورنال
عنوان ژورنال: Abstract and Applied Analysis
سال: 2012
ISSN: 1085-3375,1687-0409
DOI: 10.1155/2012/157532