Results 11 to 20 of about 105,849 (264)
Devaney Chaos on a Set-valued Map and Its Inverse Limit
, 2022 We study relationships between a set-valued map and its inverse limits about the notion of periodic point set, transitivity, sensitivity and Devaney chaos.
Wang, Nan, Zhao, Yingcui, Wang, Lidong
core +1 more source
On the existence of solutions for a nonconvex hyperbolic differential inclusion of third order
Electronic Journal of Qualitative Theory of Differential Equations, 2016 We establish some Filippov type existence theorems for solutions of a Darboux problem associated to a third order hyperbolic differential inclusion.
Aurelian Cernea
doaj +1 more source
A Bilocal Problem Associated to a Fractional Differential Inclusion of Caputo-Fabrizio Type
Universal Journal of Mathematics and Applications, 2020 A fractional differential inclusion defined by Caputo-Fabrizio fractional derivative with bilocal boundary conditions is studied. A nonlinear alternative of Leray-Schauder type, Bressan-Colombo selection theorem for lower semicontinuous set-valued maps ...
Aurelian Cernea
doaj +1 more source
Convex extensions of the convex set valued maps [PDF]
, 2006 In this article the existence of the convex extension of convex set valued map is considered. Conditions are obtained, based on the notion of the derivative of set valued maps, which guarantee the existence of convex extension.
Düzce, Serkan Ali +5 more
core +1 more source
Vectorization of set-valued maps with respect to total ordering cones and its applications to set-valued optimization problems [PDF]
, 2012 As a result of our previous studies on finding the minimal element of a set in n-dimensional Euclidean space with respect to a total ordering cone, we introduced a method which we call “The Successive Weighted Sum Method” (Küçük et al., 2011 [1,2]).
Mahide Küçük +8 more
core +1 more source
Abstract and Applied Analysis, 2013 A new notion of the ic-cone convexlike set-valued map characterized by the algebraic interior and the vector closure is introduced in real ordered linear spaces.
Zhi-Ang Zhou
doaj +1 more source
Fixed Point Theorems for Set-Valued Contraction Type Maps in Metric Spaces
Fixed Point Theory and Applications, 2010 We first give some fixed point results for set-valued self-map contractions in complete metric spaces. Then we derive a fixed point theorem for nonself set-valued contractions which are metrically inward. Our results generalize many well-known results in
A. Amini-Harandi, D. O'Regan
doaj +2 more sources
ϵ-Henig Saddle Points and Duality of Set-Valued Optimization Problems in Real Linear Spaces
The Scientific World Journal, 2013 We study ϵ-Henig saddle points and duality of set-valued optimization problems in the setting of real linear spaces. Firstly, an equivalent characterization of ϵ-Henig saddle point of the Lagrangian set-valued map is obtained.
Zhi-Ang Zhou
doaj +1 more source
On Constrained Set-Valued Semi-Infinite Programming Problems with ρ-Cone Arcwise Connectedness
Axioms, 2021 In this paper, we establish sufficient Karush–Kuhn–Tucker (for short, KKT) conditions of a set-valued semi-infinite programming problem (SP) via the notion of contingent epiderivative of set-valued maps. We also derive duality results of Mond–Weir (MWD),
Koushik Das, Savin Treanţă
doaj +1 more source
SET-VALUED ORTHOGONALITY AND NEARNESS
, 2020 International audienceWe introduce nearness and orthogonality between set-valued map-pings, extending the Campanato nearness and the Birkoff-James orthogonality of single-valued ...
Ernst, Octavian +3 more
core +1 more source