JNCA: Minimal element theorem with set-relations



	Volume 9, Number 2, August 2008, pp. 249-253
Akira Shimizu and Tamaki Tanaka
Key words:
Nonlinear set-valued optimization, set-valued map, nonlinear scalarization, optimality conditions
Mathematices Subject Classification: Primary: 49J53; Secondary: 90C46

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	Abstract:
	Hamel and Löhne proved the existence results for minimal points of subsets of the product space X × 2^Y, where X and Y are a separated uniform space and a topological vector space, respectively. In this paper, we present a similar minimal element theorem with set-relations to those introduced in [3].

Minimal element theorem with set-relations