Semi-continuity of set-valued monotone mappings
نویسندگان
چکیده
منابع مشابه
Variational Inequalities and Surjectivity for Set-valued Monotone Mappings
We denote by σ(F,E) the topology on F generated by the family {ω(x, ε) : x ∈ E, ε > 0} as a subbase for the neighbourhood system at 0. It is easy to show that, if F possesses the σ(F,E)-topology, F becomes a locally convex topological vector space. The σ(E,F )-topology on E is defined analogously. A subset X of E is said to be σ(E,F )-compact if X is compact related to the σ(E,F )-topology. Let...
متن کاملCone Monotone Mappings: Continuity and Differentiability
We generalize some results of Borwein, Burke, Lewis, and Wang to mappings with values in metric (resp. ordered normed linear) spaces. We define two classes of monotone mappings between an ordered linear space and a metric space (resp. ordered linear space): K-monotone dominated and coneto-cone monotone mappings. K-monotone dominated mappings naturally generalize mappings with finite variation (...
متن کاملMonotone set-valued functions defined by set-valued Choquet integrals
In this paper, some properties of the monotone set-valued function defined by the set-valued Choquet integral are discussed. It is shown that several important structural characteristics of the original set function, such as null-additivity, strong order continuity, property(S) and pseudometric generating property, etc., are preserved by the new set-valued function. It is also shown that integr...
متن کاملContinuity notions for multi-valued mappings
If we regard a multi-valued mapping as a generalization of a single-valued mapping, we may ask for generalizations of important properties as well, concerning fixed-points, projection, composition etc. The main interest in this paper are continuity notions for multi-valued mappings which allow non-connected images, but still have a certain fixed-point property. The starting point is a continuit...
متن کاملPreinvexity and Semi-Continuity of Fuzzy Mappings
In this paper, the relationships between semicontinuity and preinvexity of fuzzy mappings are investigated. The concepts of intermediate-point preinvex fuzzy mappings and weakly preinvex fuzzy mappings are first introduced, and the authors establish a characterization for a weakly preinvex fuzzy mapping in terms of its epigraph. In this context, a characterization of a preinvex fuzzy mapping in...
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: Fundamenta Mathematicae
سال: 1975
ISSN: 0016-2736,1730-6329
DOI: 10.4064/fm-88-1-61-69