Optimality and Duality for Multiple Objective Nonconvex Optimization Problems

• 발행기관: 한국자료분석학회
• 저자명: 박춘일(Choon-Il Park)
• 간행물 정보: 『Journal of The Korean Data Analysis Society (JKDAS)』Vol.9 No.3, 1007~1016쪽, 전체 10쪽
• 주제분류: 자연과학 > 통계학
• 파일형태: PDF
• 발행일자: 2007.06.30

영문 초록

Optimality theorems of Fritz John type are established for multiple objective nonconvex optimization problems. Dual problems are given for these problems and it is shown that duality theorems hold without any form of constraint qualifications. We introduce some theorems about convex, pseudoconvex, and quasiconvex cases. Also, we explain of differences between these convex. The weak and strong duality relating (P) and (D) is proved in this paper. So, we recommend the differences among convex, pseudoconvex, and quasiconvex cases using the optimality and duality. Theorems of optimality and duality will give us information about convex.

목차

1. Introduction and Preliminaries

2. Optimality Criteria

3. Duality Theorem

References

키워드

Convex Pseudoconvex Quasiconvex Fritz John Type