Semi-continuity of set-valued monotone mappings

نویسندگان

چکیده

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

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 کامل

Cone 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 کامل

Monotone 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 کامل

Continuity 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 کامل

Preinvexity 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 کامل

ذخیره 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