Generalized bi-quasi-variational inequalities for quasi-semi-monotone and bi-quasi-semi-monotone operators with applications in non-compact settings and minimization problems (Q1973475)

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scientific article; zbMATH DE number 1437137
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Generalized bi-quasi-variational inequalities for quasi-semi-monotone and bi-quasi-semi-monotone operators with applications in non-compact settings and minimization problems
scientific article; zbMATH DE number 1437137

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    Generalized bi-quasi-variational inequalities for quasi-semi-monotone and bi-quasi-semi-monotone operators with applications in non-compact settings and minimization problems (English)
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    4 April 2001
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    The authors derive existence theorems of generalized bi-quasi-variational inequalities for quasi-semi-monotone and bi-quasi-semi-monotone operators in both compact and non-compact settings. The concept of escaping sequences is used in order to deal with the non-compact case. As application, they prove existence of solutions for some kind of minimization problems with quasi-semi-monotone and bi-quasi-semi-monotone operators.
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    bilinear functional
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    generalized bi-quasi-variational inequality
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    locally convex space
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    lower and upper semicontinuity
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    minimization problem
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    bi-quasi-semi-monotone operators
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