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A coincidence theorem in topological vector spaces

Published online by Cambridge University Press:  17 April 2009

Olga Hadžić
Affiliation:
University of Novi Sad, Faculty of Science, Department of Mathematics, Dr Ilije Duričiča 4, 21000 Novi Sad, Yugosliavia
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Abstract

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In this paper we prove a coincidence theorem in not necessarily locally convex topological vector spaces, which contains, as a special case, a coincidence theorem proved by Felix Browder. As an application, a result about the existence of maximal elements is obtained.

Type
Research Article
Copyright
Copyright © Australian Mathematical Society 1986

References

[1]Browder, F. E., “Coincidence theorems, minimax theorems, and variational inequalities”, Contemp. Math. 26(1984), 6780.CrossRefGoogle Scholar
[2]Cuōng, Būi Cong, “Some Fixed Point Theorems for Miltifunctions in Topological Vector Spaces (announcement of results).” Bull. Polish Acad. Sci. Math., 32, 3–4 (1984), 215221.Google Scholar
[3]Hadžić, O., “Some fixed point and almost fixed point theorems for multivalued mappings in topological vector spaces”, Nonlinear Anal., 5, 9 (1981), 10091019.CrossRefGoogle Scholar
[4]Hadžić, O., “On kakutani's Fixed Point Theorem in Topological Vector Spaces”. Bull. Polish Acad. Sci., 30, 3–4(1982), 141144.Google Scholar
[5]Hadžić, O., “On equilibrium point in topological vector spaces”, Comment Math. Univ. Carolin., 23, 4 (1982), 727738.Google Scholar
[6]Hadžić, O., “On Sadovski's fixed point theorem in topological vector spaces”, Comment Math. Prace Mat. 24 (1984), 5155.Google Scholar
[7]Hadžić, O., Fixed Point Theory in Topological Vector spaces, Institute of mathematics, Novi Sad, 1984, 337 pp.Google Scholar
[8]Hadžić, O., “A theorem on the fixed point for multivalued mappings in topological vector spaces”, Rend. Istit. Mat. Univ. Trieste (to appear).Google Scholar
[9]Hadžić, O., Gajic, Lj., “A fixed point theorem for multivalued mappings in topological vector spaces”, Fund. Matn., 109(1980), 163167.CrossRefGoogle Scholar
[10]Hadžić, O., Gajic, Lj., “Some Applications of Fixed Point Theorems for Multivalued Mappings on Minimax Problems in Topological Vector Spaces”, Math. Operationsforsch. Statist. Ser. Optim., 15 (1984), 193201.Google Scholar
[11]Hahn, S., “Zur Leray-Schauder-Theorie in topologischen Vektorraümen”, Wiss. Z. Tech. Univ. Dresden 24 (1975), 375378.Google Scholar
[12]Hahn, S., “Uber die Stabilitat von Lösungen nichlinearer Operatorengleichungen in nicht notwending lokalkonvexen topologischem Vektorräumen”. Comment. Math. Univ. Carolin. 17, 3 (1976), 421440.Google Scholar
[13]Hahn, S., Riedrich, T., “Der Abbildungsgrad kompakter Vektorfelder in nicht notwendig lokalkonvexen topoligischen Vektorräumen”, Wiss. Z. Tech. Univ. Dresden, 22 (1973), 3742.Google Scholar
[14]Tarafdar, E. and Mehta, G., “The existence of quasi-equilibrium in a competitive economy”, Internat. J. Sci. Eng. 1, 1 (1984), 112.Google Scholar
[15]Yannelis, N. and Prabhakar, N., “Existence of maximal elements and equilibria in linear topological spaces”, J. Math. Econom. 12 (1983), 233245.CrossRefGoogle Scholar
[16]Zima, K., “On the Schauder fixed point theorem with respect to paranormed spaces”, Comment. Math. Prac. Math., 19 (1977), 421423.Google Scholar