Optimization problems for set functions

Slawomir Dorosiewicz

International Journal of Mathematics and Mathematical Sciences, 2001, vol. 26, 1-13

Abstract:

This paper gives the formal definition of a class of optimization problems, that is, problems of finding conditional extrema of given set-measurable functions. It also formulates the generalization of Lyapunov convexity theorem which is used in the proof of first-order optimality conditions for the mentioned class of optimization problems.

Date: 2001
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:167028

DOI: 10.1155/S0161171201005476

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