Optimality Conditions Via Generalized Radial Epiderivatives in Nonconvex Set-Valued Optimization
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Date
2010
Authors
Kasimbeyli R.
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Volume Title
Publisher
Vilnius Gediminas Technical University
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Abstract
In this paper, the generalized radial epiderivative for set-valued maps is introduced and its relationship to the radial epiderivative is investigated. Existence conditions for generalized radial epiderivatives are established and unified necessary and sufficient optimality condition in nonconvex setvalued optimization is derived in terms of the generalized radial epiderivative. © Izmir University of Economics, Turkey, 2010.
Description
24th Mini EURO Conference on Continuous Optimization and Information-Based Technologies in the Financial Sector, MEC EurOPT 2010 -- 23 June 2010 through 26 June 2010 -- Izmir -- 106702
Keywords
Generalized radial epiderivative, Optimality conditions, Radial epiderivative, Set valued optimization, Epiderivative, Existence conditions, Nonconvex, Optimality conditions, Set-valued map, Set-valued optimization, Sufficient optimality conditions, Optimization
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Source
24th Mini EURO Conference on Continuous Optimization and Information-Based Technologies in the Financial Sector, MEC EurOPT 2010
Volume
Issue
Start Page
148
End Page
154
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1
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