Continuous-Time Multiobjective Optimization Problems via Invexity | Zendy

Valeriano Antunes de Oliveira | Zendy; Marko Antonio Rojas-Medar | Zendy

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Continuous-Time Multiobjective Optimization Problems via Invexity

Author(s) -

Valeriano Antunes de Oliveira,

Marko Antonio Rojas-Medar

Publication year - 2007

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2007/61296

Subject(s) - karush–kuhn–tucker conditions , mathematics , scalar (mathematics) , mathematical optimization , geometry

We introduce some concepts of generalized invexity for the continuous-time multiobjective programming problems, namely, the concepts of Karush-Kuhn-Tucker invexity andKarush-Kuhn-Tucker pseudoinvexity. Using the concept of Karush-Kuhn-Tucker invexity, we study the relationship of the multiobjective problems with some related scalar problems. Further, weshow that Karush-Kuhn-Tucker pseudoinvexity is a necessary and suffcient condition for a vector Karush-Kuhn-Tucker solutionto be a weakly efficient solution

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