Farkas-Type Results for Vector-Valued Functions with Applications
نویسندگان
چکیده
منابع مشابه
Farkas-Type Results for Vector-Valued Functions with Applications
The main purpose of this paper consists of providing characterizations of the inclusion of the solution set of a given conic system posed in a real locally convex topological space into a variety of subsets of the same space de ned by means of vector-valued functions. These Farkas-type results are used to derive characterizations of the weak solutions of vector optimization problems (including ...
متن کاملFarkas-type results for max-functions and applications
In the paper [9], Mangasarian introduced a new approach in order to give dual characterizations for different set containment problems. He succeeded to characterize the containment of a polyhedral set in another polyhedral set and in a reverse convex set defined by convex quadratic constraints and the containment of a general closed convex set in a reverse convex set defined by convex nonlinear...
متن کاملFarkas-Type Results With Conjugate Functions
Abstract. We present some new Farkas-type results for inequality systems involving a finite as well as an infinite number of convex constraints. For this, we use two kinds of conjugate dual problems, namely an extended Fenchel-type dual problem and the recently introduced FenchelLagrange dual problem. For the latter, which is a ”combination” of the classical Fenchel and Lagrange duals, the stro...
متن کاملFarkas-type results for fractional programming problems
Considering a constrained fractional programming problem, within the present paper we present some necessary and sufficient conditions which ensure that the optimal objective value of the considered problem is greater than or equal to a given real constant. The desired results are obtained using the Fenchel-Lagrange duality approach applied to an optimization problem with convex or difference o...
متن کاملFarkas-type results for inequality systems with composed convex functions via conjugate duality
We present some Farkas-type results for inequality systems involving finitely many functions. Therefore we use a conjugate duality approach applied to an optimization problem with a composed convex objective function and convex inequality constraints. Some recently obtained results are rediscovered as special cases of our main result.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Optimization Theory and Applications
سال: 2017
ISSN: 0022-3239,1573-2878
DOI: 10.1007/s10957-016-1055-2