Optimality of differentiable, vector-valued n-set functions
نویسندگان
چکیده
منابع مشابه
Optimality Conditions for Vector Optimization with Set-Valued Maps
In this paper, we establish a Farkas-Minkowski type alternative theorem under the supposition of nearly semiconvexlike set-valued maps. Based on the alternative theorem and some other lemmas, we present necessary optimality conditions and sufficient optimality conditions for set-valued vector optimization problems with extended inequality constraints in a sense of weak E-minimizers.
متن کاملOptimality Conditions for Vector Optimisation with Set-valued Maps
In recent years, vector optimisation with set-valued maps in infinite dimensional spaces has been received an increasing amount of attention. See [6, 2, 5, 8, 4, 9] and references therein, for its extensive applications in many fields such as mathematical programming, optimal control, management science. Vector optimisation with setvalued maps, sometimes called set-valued vector optimisation fo...
متن کاملOptimality Conditions for Maximizations of Set-Valued Functions
The maximization with respect to a cone of a set-valued function into possibly infinite dimensions is defined, and necessary and sufficient optimality conditions are established. In particular, an analogue of the Fritz John necessary optimality conditions is proved using a notion of derivative defined in terms of tangent cones.
متن کاملSlope and G-set Characterization of Set-valued Functions and Applications to Non-differentiable Optimization
In this paper we derive a generalizing concept of G-norms, which we call G-sets, which is used to characterize minimizers of non-differentiable regularization functionals. Moreover, the concept is closely related to the definition of slopes as published in a recent book by Ambrosio, Gigli, Savaré. A paradigm of regularization models fitting in this framework is robust bounded variation regulari...
متن کاملRelaxed optimality conditions for mu-differentiable functions
We prove some fundamental properties of mu-differentiable functions. A new notion of local minimizer and maximizer is introduced and several extremum conditions are formulated using the language of nonstandard analysis.
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 Mathematical Analysis and Applications
سال: 1990
ISSN: 0022-247X
DOI: 10.1016/0022-247x(90)90299-u