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
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | 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 |
Statements
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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