Results 11 to 20 of about 608,522 (264)
A stochastic model for retinocollicular map development [PDF]
BMC Neuroscience, 2004 Background We examine results of gain-of-function experiments on retinocollicular maps in knock-in mice [Brown et al. (2000) Cell 102:77]. In wild-type mice the temporal-nasal axis of retina is mapped to the rostral-caudal axis of superior colliculus ...
Tsigankov Dmitry N, Koulakov Alexei A
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On the Extensions of Single Valued Continuous and Set Valued Usc Maps [PDF]
, 2001 We show that two main theorems: (1) A regular space Y has a complete sequence if and only if the set valued usco map to Y defined on every dense set D of any space X has an usco extension over a Gδ-set in X containing D. (2) A regular space Y with a
Ikenaga, Shogo +2 more
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Journal of Applied Mathematics, 2012 We first introduce a new notion of the partial and generalized cone subconvexlike set-valued map and give an equivalent characterization of the partial and generalized cone subconvexlike set-valued map in linear spaces.
Zhi-Ang Zhou, Jian-Wen Peng
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Set-Valued Mapping and Rough Probability [PDF]
Mathematical Sciences Letters, 2018 In 1982, the theory of rough sets proposed by Pawlak and in 2013, Luay concerned a rough probability by using the notion of Topology. In this paper, we study the rough probability in the stochastic approximation spaces by using set-valued mapping and obtain results on rough expectation, and rough variance.
Sedghi, Shaban +3 more
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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
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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
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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
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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
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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
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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
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