w-(H,Ω) CONJUGATE DUALITY THEORY IN MULTIOBJECTIVE NONLINEAR OPTIMIZATION
The duality in multiobjective optimization holds now a major position in the theory of multiobjective programming not only due to its mathematical elegance but also its economic implications. For weak efficiency instead of efficiency, this paper gives the definition and some fundamental properties of the weak supremum and infimum sets. Based on the weak supremum, the concepts, some properties and their relationships of w-(H,Ω) conjugate maps, w-(H,Ω)-subgradients, w- H p Γ (Ω)-regularitions of vector-valued point-to-set maps are provided, and a new duality theory in multiobjective nonlinear optimization------w-(H,Ω) Conjugate Duality Theory is established by means of the w-(H,Ω) conjugate maps. The concepts and their relations to the weak efficient solutions to the primal and dual problems of the w-(H,Ω)-Lagrangian map and weak saddle-point are developed. Finally, several special cases for H and Ω are discussed.
Key words: Conjugate duality theory, Multiobjective optimization, Weak efficiency
Conjugate duality theory, Multiobjective optimization, Weak efficiency
- There are currently no refbacks.
If you have already registered in Journal A and plan to submit article(s) to Journal B, please click the CATEGORIES, or JOURNALS A-Z on the right side of the "HOME".
We only use three mailboxes as follows to deal with issues about paper acceptance, payment and submission of electronic versions of our journals to databases:
email@example.com; firstname.lastname@example.org; email@example.com
Copyright © 2010 Canadian Research & Development Centre of Sciences and Cultures
Address: 758, 77e AV, Laval, Quebec, H7V 4A8, Canada
Telephone: 1-514-558 6138