TY - JOUR
T1 - Continuous-time multiobjective optimization problems via invexity
AU - De Oliveira, Valeriano A.
AU - Rojas-Medar, Marko A.
PY - 2007
Y1 - 2007
N2 - 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.
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.
UR - https://www.scopus.com/pages/publications/33947128601
U2 - 10.1155/2007/61296
DO - 10.1155/2007/61296
M3 - Article
AN - SCOPUS:33947128601
SN - 1085-3375
VL - 2007
JO - Abstract and Applied Analysis
JF - Abstract and Applied Analysis
M1 - 61296
ER -