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Mixed Type Duality for Multiobjective Variational Problems

✍ Scribed by R.N Mukherjee; Ch.Purnachandra Rao

Publisher: Elsevier Science
Year: 2000
Tongue: English
Weight: 117 KB
Volume: 252
Category: Article
ISSN: 0022-247X
DOI: 10.1006/jmaa.2000.7000

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✦ Synopsis

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 Ž . obtained for -convex generalized -convex functions. These studies have been Ž . generalized to the case of -invex generalized -invex functions. Our results apparently generalize a fairly large number of duality results previously obtained for finite-dimensional nonlinear programming problems under various convexity assumptions.

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