Variational-like inequalities for weakly relaxed \(\eta\)-\(\alpha\) pseudomonotone set-valued mappings in Banach space (Q502574)
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scientific article; zbMATH DE number 6670776
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Variational-like inequalities for weakly relaxed \(\eta\)-\(\alpha\) pseudomonotone set-valued mappings in Banach space |
scientific article; zbMATH DE number 6670776 |
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Variational-like inequalities for weakly relaxed \(\eta\)-\(\alpha\) pseudomonotone set-valued mappings in Banach space (English)
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5 January 2017
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Summary: We introduce and study variational-like inequalities for generalized pseudomonotone set-valued mappings in Banach spaces. By using KKM technique, we obtain the existence of solutions for variational-like inequalities for generalized pseudomonotone set-valued mappings in reflexive Banach spaces. The results presented in this paper are generalizations and improvements of the several well-known results in the literature.
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variational-like inequalities
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set-valued mappings
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pseudomonotonicity
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