Some properties in nonsmooth analysis of perturbation function in vector optimization
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CitationAgamaliyev, A. ve İlter, S. (2009). Some properties in nonsmooth analysis of perturbation function in vector optimization. Maltepe Üniversitesi. s. 67.
We consider in this paper the following vector optimization problem max f(x) = (f1(x), ...fk(x)) , subjectto gi(x) ≤ yi, i = 1, ..., m, (1) hj (x) = yj , j = m + 1, ..., p, where f : R n → R k , each gi : R n → R, each hj : R n → R , the variables y ∈ R p are perturbations near ¯y = 0 . For each y , the set of feasible solutions is S(y) = © .x ∈ R n : .gi(x) ≤ yi, hj (x) ≤ yj , i = 1, ..., m, j = m + 1, ..., p.ª . We assume that the objective and constraint functions of the problem (1) are smooth. The solution concepts for (1) that we will be concerned with is the notion of an ideal maximal (or strongly efficient) point. Our main aim in this paper is to investigate some properties in nonsmooth analysis of perturbation function (or marginal function).
SourceInternational Conference of Mathematical Sciences
- Makale Koleksiyonu 
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