Volume 7, Number 2, August 2006, pp. 299-313
		Youcef Askoura, Christiane Godet-Thobie
		Key words:
	non convex set-valued maps, continuous selections, contractible spaces
	Mathematices Subject Classification: 54C60; 54C65

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	Abstract:
	In this paper, we prove two new existence results of continuous selections without convexity. Our results are improvements, in a large class of topological spaces, of Yannelis and Prabhakar's selection theorem [24] and its generalizations obtained by Wu [23] and by Ding et al. [7]. Furthermore, we apply our selection results to deduce some results of fixed point, coincidence and equilibrium for abstract economy.

Continuous selections for multi-valued maps without convexity

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