Continuous-time multiobjective optimization problems via invexity

Valeriano A. De Oliveira; Marko A. Rojas-Medar

doi:10.1155/2007/61296

Continuous-time multiobjective optimization problems via invexity

Valeriano A. De Oliveira
, Marko A. Rojas-Medar

Universidade Estadual de Campinas

Research output: Contribution to journal › Article › peer-review

14 Scopus citations

Abstract

We introduce some concepts of generalized invexity for the continuous-time multiobjective programming problems, namely, the concepts of Karush-Kuhn-Tucker invexity and Karush-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, we show that Karush-Kuhn-Tucker pseudoinvexity is a necessary and suffcient condition for a vector Karush-Kuhn-Tucker solution to be a weakly efficient solution.

Original language	English
Article number	61296
Journal	Abstract and Applied Analysis
Volume	2007
DOIs	https://doi.org/10.1155/2007/61296
State	Published - 2007
Externally published	Yes

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title = "Continuous-time multiobjective optimization problems via invexity",

abstract = "We introduce some concepts of generalized invexity for the continuous-time multiobjective programming problems, namely, the concepts of Karush-Kuhn-Tucker invexity and Karush-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, we show that Karush-Kuhn-Tucker pseudoinvexity is a necessary and suffcient condition for a vector Karush-Kuhn-Tucker solution to be a weakly efficient solution.",

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AU - Rojas-Medar, Marko A.

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AB - We introduce some concepts of generalized invexity for the continuous-time multiobjective programming problems, namely, the concepts of Karush-Kuhn-Tucker invexity and Karush-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, we show that Karush-Kuhn-Tucker pseudoinvexity is a necessary and suffcient condition for a vector Karush-Kuhn-Tucker solution to be a weakly efficient solution.

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SN - 1085-3375

VL - 2007

JO - Abstract and Applied Analysis

JF - Abstract and Applied Analysis

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Continuous-time multiobjective optimization problems via invexity

Abstract

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