Symmetric Duality for Multiobjective Variational Problems with Invexity
β Scribed by Do Sang Kim; Won Jung Lee
- Publisher
- Elsevier Science
- Year
- 1998
- Tongue
- English
- Weight
- 176 KB
- Volume
- 218
- Category
- Article
- ISSN
- 0022-247X
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β¦ Synopsis
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.
π SIMILAR VOLUMES
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
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 pro
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.
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.