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Feasibility-solvability theorems for generalized vector equilibrium problem in reflexive banach spaces

✍ Scribed by Gang Wang; Hai-tao Che; Hai-bin Chen

Book ID: 115021672
Publisher: Springer International Publishing AG
Year: 2012
Tongue: English
Weight: 191 KB
Volume: 2012
Category: Article
ISSN: 1687-1820
DOI: 10.1186/1687-1812-2012-38

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Let X and Y be real Banach spaces, K be a nonempty convex subset of X , and C : K → 2 Y be a multifunction such that for each u ∈ K , C (u) is a proper, closed and convex cone with intC (u) = ∅, where intC (u) denotes the interior of C (u). Given the mappings introduce and consider the generalized