Existence of solutions for generalized implicit vector variational-like inequalities (Q880309)
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scientific article; zbMATH DE number 5152802
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Existence of solutions for generalized implicit vector variational-like inequalities |
scientific article; zbMATH DE number 5152802 |
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Existence of solutions for generalized implicit vector variational-like inequalities (English)
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15 May 2007
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A new class of generalized implicit vector variational-like inequalities in Hausdorff topological vector spaces and Banach spaces is introduced. This new class contains implicit vector equilibrium problems, implicit vector variational inequalities and implicit vector complementarity problems as special cases. By using the KKM--Fan theorem under compact and noncompact assumptions on convex sets, some new results are derived.
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generalized implicit vector variational-like inequality
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escaping sequence
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upper semicontinuity
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affine and pseudomonotone map
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KKM-map
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