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Fixed point theorems in H-spaces and equilibrium points of abstract economies

Part of: Nonlinear operators and their properties

Published online by Cambridge University Press:  09 April 2009

E. Tarafdar
E. Tarafdar
Affiliation:
University of QueenslandSt. Lucia 4072, Australia
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Abstract

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Some fixed point theorems on H-spaces are presented. These theorems are then applied to generalize a theorem of Fan concerning sets with convex sections to H-spaces and to prove the existence of equilibrium points of abstract economics in which the commodity space is an H-space.

MSC classification

Secondary: 47H10: Fixed-point theorems
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 53 , Issue 2 , October 1992 , pp. 252 - 260
Copyright
Copyright © Australian Mathematical Society 1992

References

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