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Fixed point theorems and equilibrium points in abstract economies

Published online by Cambridge University Press:  17 April 2009

Donal O'Regan
Donal O'Regan
Affiliation:
Department of Mathematics, Nationional University of Ireland, Galway, Ireland
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Abstract

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New fixed point theorems are given which have applications in the theory of abstract economies.

Information

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 58 , Issue 1 , August 1998 , pp. 33 - 41
Copyright
Copyright © Australian Mathematical Society 1998

References

[1]Aliprantis, C.D. and Border, K.C., Infinite dimensional analysis, (Springer Verlag, Berlin, Heidelberg, New York, 1991).Google Scholar
[2]Ding, X.P., Kim, W.K. and Tan, K.K., ‘A selection theorem and its applications’, Bull. Austral. Math. Soc. 46 (1992), 205–212.CrossRefGoogle Scholar
[3]Dugundji, J. and Granas, A., Fixed point theory, Monografie Matematyczne (PWN, Warsaw, 1982).Google Scholar
[4]Fitzpatrick, P.M. and Petryshyn, W.V., ‘Fixed point theorems for multivalued noncompact acyclic mappings’, Pacific J. Math. 54 (1974), 17–23.CrossRefGoogle Scholar
[5]O'Regan, D., ‘Some fixed point theorems for concentrative mappings between locally convex linear topological spaces’, Nonlinear Anal. 27 (1996), 1437–1446.CrossRefGoogle Scholar
[6]O'Regan, D., ‘Fixed point theory for compact upper semi-continuous or lower semi-continuous set valued maps’, Proc. Amer. Math. Soc. 125 (1997), 875–881.CrossRefGoogle Scholar
[7]O'Regan, D., ‘Fixed points for set valued mappings in locally convex linear topological spaces’, Math. Comput. Modelling (to appear).Google Scholar
[8]Tarafdar, E., ‘A fixed point theorem and equilibrium point of an abstract economy’, J. Math. Econom. 20 (1991), 211–218.CrossRefGoogle Scholar
[9]Yannelis, N. and Prabhaker, N., ‘Existence of minimal elements and equilibria in linear topological spaces’, J. Math. Econom. 12 (1983), 233–246.CrossRefGoogle Scholar