In this paper, we introduce twice weakly differentiable and twice H-diferentiable interval valued functions. The existence of twice H-differentiable interval-valued function and its relation with twice weakly differentiable functions are presented. Interval valued bonvex and generalized bonvex functions involving twice H-differentiability are proposed. Under the proposed settings, necessary conditions are elicited naturally in order to achieve LU-efficient solution. Mangasarian type dual is discussed for a nondifferentiable multiobjective programming problem and appropriate duality results are also derived. The theoretical developments are illustrated through non-trivial numerical examples.
|Number of pages||16|
|Journal||Journal of Computational Analysis and Applications|
|State||Published - 2016|
Bibliographical noteFunding Information:
The research of the first and fourth author is financially supported by King Fahd University of Petroleum and Minerals, Saudi Arabia under the Internal Research Project No. IN131026.
© 2016 by Eudoxus Press,LLC,All rights reserved.
- Generalized bonvexity
- Interval valued functions
- LU-efficient solution
- Twice H-differentiability
- Twice weak differentiability
ASJC Scopus subject areas
- Computational Mathematics