Systems Science and Applied Mathematics
Articles Information
Systems Science and Applied Mathematics, Vol.2, No.1, Feb. 2017, Pub. Date: Jun. 15, 2017
(ρ,b)-Quasiinvexity and Efficiency Conditions in Matrix Variational Problems
Pages: 1-7 Views: 176 Downloads: 80
Authors
[01] Savin Treanţă, Faculty of Applied Sciences, University Politehnica of Bucharest, Bucharest, Romania.
[02] Elena-Laura Dudaş, Faculty of Applied Sciences, University Politehnica of Bucharest, Bucharest, Romania.
Abstract
The main goal of this paper is to formulate and prove necessary and sufficient conditions of efficiency for a class of matrix variational problems (MVP). Under (ρ,b)-quasiinvexity assumptions, we establish sufficient efficiency conditions for a feasible solution in (MVP). The method of investigation used in this work is based on employing of several adequate variational calculus techniques in the study of some vector variational problems. Our results extend, unify and improve several theorems in the current literature.
Keywords
(Normal) Efficient Solution, (ρ,b)-Quasiinvexity, Matrix Variational Problem
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