Additional Information
| Author(s) | Duca, Dorel I., Pop, Emilia-Loredana |
|---|
Optimization problems, first order approximated optimization problems and their connections
Emilia-Loredana Pop ♦ Dorel I. Duca
Abstract
carpathian_2012_28_1_133_141_abstractIn this paper, we attach to the optimization problem min f(x) s. t. x ∈ X g(x) 5 0 h(x) = 0, where X is a subset of Rn, f : X → R, g = (g1, …, gm) : X → Rm and h = (h1, …, hq) : X → Rq are functions, the (0, 1) − η− approximated optimization problem (AP). We will study the connections between the optimal solutions for Problem (AP), the saddle points for Problem (AP), optimal solutions for Problem (P) and saddle points for Problem (P).
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