Geodesic
On zeros and fixed points of multifunctions with non-compact convex domains
Commentationes Mathematicae Universitatis Carolinae, Tome 34 (1993) no. 2, pp. 257-264 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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Using our own generalization [7] of J.C. Bellenger's theorem [1] on the existence of maximizable u.s.c\. quasiconcave functions on convex spaces, we obtain extended versions of the existence theorem of H. Ben-El-Mechaiekh [2] on zeros for multifunctions with non-compact domains, the coincidence theorem of S.H. Kum [5] for upper hemicontinuous multifunctions, and the Ky Fan type fixed point theorems due to E. Tarafdar [13].
Using our own generalization [7] of J.C. Bellenger's theorem [1] on the existence of maximizable u.s.c\. quasiconcave functions on convex spaces, we obtain extended versions of the existence theorem of H. Ben-El-Mechaiekh [2] on zeros for multifunctions with non-compact domains, the coincidence theorem of S.H. Kum [5] for upper hemicontinuous multifunctions, and the Ky Fan type fixed point theorems due to E. Tarafdar [13].
Classification : 47H04, 47H10
Keywords: convex space; $c$-compact set; real Hausdorff topological vector space (t.v.s.); linear operator; locally convex; fixed point; coincidence; zero; upper hemicontinuous (u.h.c.) multifunction 
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     author = {Park, Sehie and Bae, Jong Sook},
     title = {On zeros and fixed points of multifunctions with non-compact convex domains},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     pages = {257--264},
     year = {1993},
     volume = {34},
     number = {2},
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     zbl = {0834.47050},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CMUC_1993_34_2_a8/}
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Park, Sehie; Bae, Jong Sook. On zeros and fixed points of multifunctions with non-compact convex domains. Commentationes Mathematicae Universitatis Carolinae, Tome 34 (1993) no. 2, pp. 257-264. http://geodesic.mathdoc.fr/item/CMUC_1993_34_2_a8/