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Sufficiency and duality in differentiable multiobjective programming involving generalized type I functions
- Source :
-
Journal of Mathematical Analysis & Applications . Aug2004, Vol. 296 Issue 2, p382-392. 11p. - Publication Year :
- 2004
-
Abstract
- In this paper, new classes of generalized (<f>F,α,ρ,d</f>)-type I functions are introduced for differentiable multiobjective programming. Based upon these generalized functions, first, we obtain several sufficient optimality conditions for feasible solution to be an efficient or weak efficient solution. Second, we prove weak and strong duality theorems for mixed type duality. [Copyright &y& Elsevier]
- Subjects :
- *DUALITY (Logic)
*CONVEX domains
*CONVEX geometry
*MATHEMATICS
Subjects
Details
- Language :
- English
- ISSN :
- 0022247X
- Volume :
- 296
- Issue :
- 2
- Database :
- Academic Search Index
- Journal :
- Journal of Mathematical Analysis & Applications
- Publication Type :
- Academic Journal
- Accession number :
- 13808375
- Full Text :
- https://doi.org/10.1016/j.jmaa.2003.12.042