On Nonsmooth Multiobjective Optimality Conditions with Generalized Convexities

Marko M. Mäkelä (), Ville-Pekka Eronen () and Napsu Karmitsa ()
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Marko M. Mäkelä: University of Turku, Department of Mathematics and Statistics
Ville-Pekka Eronen: University of Turku, Department of Mathematics and Statistics
Napsu Karmitsa: University of Turku, Department of Mathematics and Statistics

A chapter in Optimization in Science and Engineering, 2014, pp 333-357 from Springer

Abstract: Abstract Optimality conditions are an essential part of mathematical optimization theory, affecting heavily, for example to the optimization method development. Different types of generalized convexities have proved to be the main tool when constructing optimality conditions, particularly sufficient conditions for optimality. The purpose of this paper is to present some necessary and sufficient optimality conditions for locally Lipschitz continuous multiobjective problems. In order to prove sufficient optimality conditions some generalized convexity properties for functions are introduced. For necessary optimality conditions we will need also some constraint qualifications.

Keywords: Nonsmooth Multiobjective; Constraint Qualification; Mathematical Optimization Theory; Weak Pareto Optimality; Subdifferential Regularity (search for similar items in EconPapers)
Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4939-0808-0_17

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DOI: 10.1007/978-1-4939-0808-0_17

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