Optimality and duality in nondifferentiable multiobjective optimization involving d-type I and related functions

[摘要] In this paper 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. (C) 1997 Academic Press.

[发布日期] 1997-02-15