𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Optimality Conditions and Duality for Multiobjective Variational Problems with Generalized B-Invexity

✍ Scribed by Davinder Bhatia; Aparna Mehra

Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
139 KB
Volume
234
Category
Article
ISSN
0022-247X

No coin nor oath required. For personal study only.

✦ Synopsis

We extend the concepts of B-type I and generalized B-type I functions to the continuous case and we use these concepts to establish sufficient optimality conditions and duality results for multiobjective variational programming problems.

πŸ“œ SIMILAR VOLUMES

Duality for Multiobjective Variational P
Duality for Multiobjective Variational Problems with Invexity
✍ Chen XiuHong πŸ“‚ Article πŸ“… 1996 πŸ› Elsevier Science 🌐 English βš– 192 KB

In this paper, Wolfe and Mond᎐Weir type duals for a class of nondifferentiable multiobjective variational problems are formulated. Under invexity assumptions on the objective and the constraint functions involved, weak and strong duality theorems are proved to related properly efficient solutions fo

Symmetric Duality for Multiobjective Var
Symmetric Duality for Multiobjective Variational Problems with Invexity
✍ Do Sang Kim; Won Jung Lee πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 176 KB

We formulate a pair of multiobjective nonlinear symmetric dual variational problems. For the single objective problems our problems become the symmetric Ε½ . dual pair of I. Smart and B.

Optimality and Duality for Nonsmooth Mul
Optimality and Duality for Nonsmooth Multiobjective Fractional Programming with Generalized Invexity
✍ H. Kuk; G.M. Lee; T. Tanino πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 97 KB

In this paper, we consider a class of nonsmooth multiobjective fractional programming problems in which functions are locally Lipschitz. We establish generalized Karush-Kuhn-Tucker necessary and sufficient optimality conditions and derive duality theorems for nonsmooth multiobjective fractional prog

Duality for a Class of Multiobjective Co
Duality for a Class of Multiobjective Control Problems with Generalized Invexity
✍ Liang Zhian; Ye Qingkai πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 126 KB

defined another kind of invexity, corresponding generalized invexity, and discussed the duality for multiobjective control problems with such generalized invexity. In this paper, the duality results for multiobjective control problems with Mond and Smart's generalized invexity are discussed.