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Duality for a Class of Nondifferentiable Multiobjective Programming Problems

✍ Scribed by Xin Min Yang; Kok Lay Teo; Xiao Qi Yang

Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
64 KB
Volume
252
Category
Article
ISSN
0022-247X

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✦ Synopsis

In this paper, both the Wolfe type and Mond᎐Weir type dual problems for a class of nondifferentiable multiobjective programs in which every component of the objective function contains a term involving the support function of a compact convex set are formulated. Weak duality theorems are established under suitable conditions. A special case which appears repeatedly in the literature is that the support function is the square root of a positive semidefinite quadratic form. This and other special cases can be readily generated from our results.

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