Results 21 to 30 of about 27,036 (301)
Stable approximations of set-valued maps [PDF]
Annales de l'Institut Henri Poincaré C, Analyse non linéaire, 1988 The celebrated Lax’ principle “stability and consistency implies convergence” is adapted to the case of nonlinear equation and even inclusions (multivalued equations) through a convenient concept of stability. It requires the definition of “contingent derivative” of single or set-valued maps and states that a family of maps is stable if and only if the
Aubin, J.-P., Wets, R.J.-B.
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A characterization of open mapping in terms of convergent sequences
International Journal of Mathematics and Mathematical Sciences, 2006 It is certainly well known that a mapping between metric spaces is continuous if and only if it preserves convergent sequences. Does there exist a comparable characterization for the mapping to be open?
Irwin E. Schochetman
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Single valued neutrosophic mappings defined by single valued neutrosophic relations with applications [PDF]
Neutrosophic Sets and Systems, 2020 In this paper, we introduce the notion of single valued neutrosophic mapping defined by single valued neutrosophic relation which is considered as a generalization of fuzzy mapping defined by fuzzy relation and several properties related to this notion
Abdelkrim Latreche +3 more
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On the positive linear set valued maps [PDF]
Miskolc Mathematical Notes, 2013 In this paper positive linear set valued maps defined on the cone are studied. The representation theorem for positive linear set valued maps is given and Lipschitz continuity of these maps is proved. The estimations of upper and lower norms of the positive linear set valued maps are obtained.
Huseyin, Anar, Huseyin, Nesir
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Critical value sets of generic mappings [PDF]
Pacific Journal of Mathematics, 1984 [14] J. Mather, Stability of C°° mappings. V, Transversality, Advances in Math., 4 (1970),301-336.[15] B. Morin, Formes canoniques des singularites d'une application differentiable, Compt.Rend. Acad. Sci., Paris 260 (1965), 5662 - 5665, 6503 - 6506.[16] R. Thorn, Les singulatites des applications differentiables, Ann. Inst. Fourier, 6 (1956),
Ishikawa, Goo +2 more
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Generalized Lower and Upper Approximations in Quantales
Journal of Applied Mathematics, 2012 We introduce the concepts of set-valued homomorphism and strong set-valued homomorphism of a quantale which are the extended notions of congruence and complete congruence, respectively.
Qimei Xiao, Qingguo Li
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Journal of Applied Mathematics, 2012 We prove the existence of solutions for third-order nonconvex state-dependent sweeping process with unbounded perturbations of the form: -A(x(3)(t))∈N(K(t,ẋ(t)); A(ẍ(t)))+F(t,x(t),ẋ(t),ẍ(t))+G(x(t),ẋ(t),ẍ(t)) a.e. [0,T], A(ẍ(t))∈K(t,ẋ(t)),
M. Bounkhel, B. Al-Senan
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Electronic Journal of Qualitative Theory of Differential Equations, 2012 In a previous work the authors proved under a complex assumption on the set-valued mapping, the existence of Lipschitz solutions for second order convex sweeping processes in $p$-uniformly smooth and $q$-uniformly convex Banach spaces.
Messaoud Bounkhel
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International Journal of Mathematics and Mathematical Sciences, 1995 Let X be a metric space and let CB(X) denote the closed bounded subsets of X with the Hausdorff metric. Given a complete subspace Y of CB(X), two fixed point theorems, analogues of results in [1], are proved, and examples are given to suggest their applicability in practice.
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, 1998 We establish homology groups based on a class of set-valued mappings and prove they are isomorphic to the classical homology groups. Any set-valued mapping in this class induces homomorphisms between homology groups of two topological spaces.
Yongxin Li, Li, Yongxin
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