On the generalized nonlinear variational-like inequality in reflexive Banach space (Q2748853)
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scientific article; zbMATH DE number 1663473
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the generalized nonlinear variational-like inequality in reflexive Banach space |
scientific article; zbMATH DE number 1663473 |
Statements
30 January 2003
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KKM mapping
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strong \(\eta\)-monotone mapping
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demi-continuous
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generalized nonlinear variational-like inequality problem
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monotone mappings
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Lipschitz mappings
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\(0\)-diagonal concave relationship
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reflexive Banach spaces
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0.98971045
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0.9743035
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0.95063245
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0.9481121
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On the generalized nonlinear variational-like inequality in reflexive Banach space (English)
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This paper deals with a new kind of generalized nonlinear variational-like inequality problem with monotone mappings and Lipschitz mappings with respect to \(0\)-diagonal concave relationship. In the setting of reflexive Banach spaces, the authors prove the existence and uniqueness of the solution for this kind of variational-like inequality problem, which extend and improve previus results.
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