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Optimality and duality in nondifferentiable multiobjective optimization involving \(d\)-type I and related functions. (English) Zbl 0872.90081

Summary: New classes of functions, namely \(d\)-type-I, \(d\)-quasitype-I, and \(d\)-pseudo type-I, are defined for a multiobjective nondifferentiable programming problem. Kuhn-Tucker-type necessary and sufficient optimality conditions are obtained for a feasible point to be a weak minimum for this problem. Two duals are formulated and various duality results are given by using the above defined classes of functions, considering the concept of a weak minimum.

MSC:

90C29 Multi-objective and goal programming
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