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- W2060839141 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<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML><mml:mi>α</mml:mi></mml:math>-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<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML><mml:mi>α</mml:mi></mml:math>-well-posedness for the system of mixed quasivariational-like inequalities. Under some suitable conditions, we prove that the<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML><mml:mi>α</mml:mi></mml:math>-well-posedness is equivalent to the existence and uniqueness of solution for the system of mixed quasivariational-like inequalities. The corresponding concept of<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML><mml:mi>α</mml:mi></mml:math>-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." @default.
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- W2060839141 date "2012-01-01" @default.
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- W2060839141 title "Metric Characterizations ofα-Well-Posedness for a System of Mixed Quasivariational-Like Inequalities in Banach Spaces" @default.
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- W2060839141 doi "https://doi.org/10.1155/2012/264721" @default.
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