Geodesic
A Set-Valued Generalization of Fan's Best Approximation Theorem
Canadian journal of mathematics, Tome 44 (1992) no. 4, pp. 784-796

Voir la notice de l'article provenant de la source Cambridge University Press

Let (E, T) be a Hausdorff topological vector space whose topological dual separates points of E, X be a non-empty weakly compact convex subset of E and W be the relative weak topology on X. If F: (X, W) → 2(E,T) is continuous (respectively, upper semi-continuous if £ is locally convex), approximation and fixed point theorems are obtained which generalize the corresponding results of Fan, Park, Reich and Sehgal-Singh-Smithson (respectively, Ha, Reich, Park, Browder and Fan) in several aspects.
DOI : 10.4153/CJM-1992-046-9
Mots-clés : Primary: 47H10, 54C60, 54H25 
Ding, Xie Ping; Tan, Kok-Keong. A Set-Valued Generalization of Fan's Best Approximation Theorem. Canadian journal of mathematics, Tome 44 (1992) no. 4, pp. 784-796. doi: 10.4153/CJM-1992-046-9
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