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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
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
Summary:
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].
References:
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[13] Tarafdar E.: An extension of Fan's fixed point theorem and equilibrium point of an abstract economy. Comment. Math. Univ. Carolinae 31 (1990), 723-730. MR 1091369 | Zbl 0745.47046
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