Results 11 to 20 of about 31,701 (266)
Mathematics, 2022 In this paper, by using the normal subdifferential and equilibrium-like function we first obtain some properties for K-preinvex set-valued maps. Secondly, in terms of this equilibrium-like function, we establish some sufficient conditions for the ...
Lu-Chuan Ceng +2 more
doaj +1 more source
Strongly convex set-valued maps [PDF]
Journal of Global Optimization, 2013 Introducimos la noción de mapas de valor fijo fuertemente $ $ t $ $ -convexos y presentamos algunas propiedades de la misma. En particular, se obtienen teoremas de tipo Bernstein-Doetsch y Sierpiński para mapas de valor de conjunto fuertemente midconvexos, así como un resultado de tipo Kuhn. Se da una representación de mapas de valor fijo fuertemente $$
Hugo Leiva +3 more
openaire +2 more sources
Journal of Inequalities and Applications, 2020 The aim of this paper is computing the coderivatives of efficient point and efficient solution set-valued maps in a parametric vector optimization problem.
Xiaowei Xue
doaj +1 more source
Set-Valued Robust Mappings and Approximatable Mappings
Journal of Mathematical Analysis and Applications, 1994 The second author recently proposed the concept of robustness of sets and functions for weakening the requirement of continuity of the objective functions and constraints in global optimization problems. In this paper the authors propose the concept of lower robustness and of lower approximation for a set-valued mapping and show that any lower ...
Shi, S.Z., Zheng, Q., Zhuang, D.M.
openaire +1 more source
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
doaj +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
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
openaire +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
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