Results 1 to 10 of about 237,737 (306)
On K-superquadratic set-valued functions [PDF]
Journal of Applied Mathematics and Computational Mechanics, 2015 . In this paper we consider K-superquadratic set-valued functions. We will present here some connections between K-boundedness of K-superquadratic set-valued functions and K-semicontinuity of multifunctions of this ...
Katarzyna Troczka-Pawelec
doaj +2 more sources
Decomposition Integrals of Set-Valued Functions Based on Fuzzy Measures
Mathematics, 2023 The decomposition integrals of set-valued functions with regards to fuzzy measures are introduced in a natural way. These integrals are an extension of the decomposition integral for real-valued functions and include several types of set-valued integrals,
Leifan Yan, Tong Kang, Huai Zhang
doaj +2 more sources
Optimization of Set-Valued Functions
Journal of Mathematical Analysis and Applications, 1994 Let X, Y, and Z be real topological vector spaces and E⊆c X be a convex set. C⊆Y, D⊆Z are to be pointed convex cones. Let F: X → 2Y be C-convex and G: X → 2Z be D-convex set-valued functions.
Lin, L.J.
core +3 more sources
Shannon’s Sampling Theorem for Set-Valued Functions with an Application
MathematicsIn this study, we defined a kind of Fourier expansion of set-valued square-integrable functions. In fact, we have seen that the classical Fourier basis also constitutes a basis for the Hilbert quasilinear space L2(−π,π,Ω(C)) of Ω(C)-valued square ...
Yılmaz Yılmaz +2 more
doaj +2 more sources
Continuity of generalized convex and generalized concave set-valued functions
Journal of Numerical Analysis and Approximation Theory, 1993 Not available.
Wolfgang W. Breckner
doaj +3 more sources
On the extension of set-valued set functions
, 2000 CITATION: Brink, H. E. & Maritz, P. 2000. On the Extension of Set-Valued Set Functions. Real Analysis Exchange, 26(1):261-276.The original publication is available at https://projecteuclid.orgWe extend additive set-valued set functions and normal ...
Maritz, P., Brink, H. E.
core +3 more sources
Remars on K-midconvex set-valued functions with closed epigraph
Le Matematiche, 1990 In this note we present some continuity results on K-midconvex set-valued functions. In particular, we give conditions under which K-midconvex and set valued functions with closed epigraph are K-continuous.
Kazimierz Nikodem
doaj +1 more source
Selection Properties and Set-Valued Young Integrals of Set-Valued Functions [PDF]
Results in Mathematics, 2020 AbstractThe paper deals with some selection properties of set-valued functions and different types of set-valued integrals of a Young type. Such integrals are considered for classes of Hölder continuous or with bounded Young p-variation set-valued functions.
Mariusz Michta, Jerzy Motyl
openaire +2 more sources
Strong m-Convexity of Set-Valued Functions
Annales Mathematicae Silesianae, 2023 In this research we introduce the concept of strong m-convexity for set-valued functions defined on m-convex subsets of real linear normed spaces, a variety of properties and examples of these functions are shown, an inclusion of Jensen type is also ...
Lara Teodoro +3 more
doaj +1 more source
Set-Valued $$\alpha $$-Fractal Functions
Constructive Approximation, 2023 In this paper, we introduce the concept of the $\alpha$-fractal function and fractal approximation for a set-valued continuous map defined on a closed and bounded interval of real numbers. Also, we study some properties of such fractal functions. Further, we estimate the perturbation error between the given continuous function and its $\alpha$-fractal ...
Pandey, Megha +2 more
openaire +2 more sources