Proper Efficiency and Proper Karush–Kuhn–Tucker Conditions for Smooth Multiobjective Optimization Problems
نویسندگان
چکیده
منابع مشابه
Optimality conditions for Pareto efficiency and proper ideal point in set-valued nonsmooth vector optimization using contingent cone
In this paper, we first present a new important property for Bouligand tangent cone (contingent cone) of a star-shaped set. We then establish optimality conditions for Pareto minima and proper ideal efficiencies in nonsmooth vector optimization problems by means of Bouligand tangent cone of image set, where the objective is generalized cone convex set-valued map, in general real normed spaces.
متن کاملProper Welfare Weights for Social Optimization Problems
Social optimization problems are often used in economics to study important issues. In a social optimization problem, the sum of individual weighted utilities is maximized over all feasible allocations that satisfy certain constraints. In this paper, we provide a mechanism that determines the set of proper individual weights to be applied to social optimization problems. To do this, we first de...
متن کاملProper efficiency and duality for a new class of nonconvex multitime multiobjective variational problems
*Correspondence: [email protected] 1Faculty of Applied Sciences, University ‘Politehnica’ of Bucharest, Splaiul Independenţei, No. 313, Bucharest, 060042, Romania Full list of author information is available at the end of the article Abstract In this paper, a new class of generalized of nonconvex multitime multiobjective variational problems is considered. We prove the sufficient optimality...
متن کاملIsolated minimizers , proper efficiency and stability for C 0 , 1 constrained vector optimization problems
In this paper we consider the vector optimization problem minC f(x), g(x) ∈ −K, where f : R → R and g : R → R are C functions and C ⊂ R and K ⊂ R are closed convex cones. We give several notions of solutions (efficiency concepts), among them the notion of a properly efficient point (p-minimizer) of order k and the notion of an isolated minimizer of order k. We show that each isolated minimizer ...
متن کاملProper Efficiency for Set-valued Optimization Problems and Vector Variational-like Inequalities
The purpose of this paper is to establish some relationships between proper efficiency of set-valued optimization problems and proper efficiency of vector variational-like inequalities under the assumptions of generalized cone-preinvexity. Our results extend and improve the corresponding results in the literature.
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: Vietnam Journal of Mathematics
سال: 2014
ISSN: 2305-221X,2305-2228
DOI: 10.1007/s10013-014-0102-2