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Hsia, W. S.; Lee, T. Y.

Lagrangian function and duality theory in multiobjective programming with set functions. (English) Zbl 0619.90072

J. Optimization Theory Appl. 57, No. 2, 239-251 (1988).
Using the concept of vector-valued Lagrangian functions, we characterize a special class of solutions, D-solutions, of a multiobjective programming problem with set functions in which the domination structure is described by a closed convex cone D. Properties of two perturbation functions, primal map and dual map, are also studied. Results lead to a general duality theorem.

Cited in 1 Review
Cited in 10 Documents

MSC:

90C31 Sensitivity, stability, parametric optimization
49N15 Duality theory (optimization)

Keywords:

vector-valued Lagrangian functions; D-solutions; multiobjective programming; perturbation functions
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\textit{W. S. Hsia} and \textit{T. Y. Lee}, J. Optim. Theory Appl. 57, No. 2, 239--251 (1988; Zbl 0619.90072)
Full Text: DOI

References:

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