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.
Symmetric Duality for Multiobjective Variational Problems
β Scribed by T.R Gulati; I Husain; A Ahmed
- Publisher
- Elsevier Science
- Year
- 1997
- Tongue
- English
- Weight
- 232 KB
- Volume
- 210
- Category
- Article
- ISSN
- 0022-247X
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β¦ Synopsis
A MondαWeir type symmetric dual for a multiobjective variational problem is formulated. Weak and strong duality theorems under generalized convexity assumptions are proved for properly efficient solutions. Under an additional condition on the kernel function that occurs in the formulation of the problems, a self duality theorem is proved. A close relationship between these variational problems and symmetric dual nonlinear multiobjective programming problems is also incorporated.
π SIMILAR VOLUMES
The concept of mixed-type duality has been extended to the class of multiobjective variational problems. A number of duality relations are proved to relate the efficient solutions of the primal and its mixed-type dual problems. The results are Ε½ . obtained for -convex generalized -convex functions.
In this paper, Wolfe and MondαWeir 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