Results 31 to 40 of about 608,522 (264)
Directionally Pseudo-Lipschitz Set-Valued Mappings
A set-valued mapping \(M\) from a Hausdorff topological vector space \(E\) into a normed vector space \(F\) is called directionally pseudo-Lipschitz if the function \(\Delta _{M}:F\times F\rightarrow {\mathbb R}\) given by \(\Delta _{M}(x,y) =d(y,M(x))\) is directionally Lipschitz in the sense of [\textit{R. T. Rockafellar}, Proc. Lond. Math. Soc.
Bounkhel, M., Thibault, L.
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ABSTRACT Background The HIT network was established in 2000 to create a population‐based structure aiming to improve survival rates and reduce late effects for children with central nervous system (CNS) tumors by conducting comprehensive clinical trials.
Stefan Rutkowski +59 more
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Strongly convex set-valued maps [PDF]
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
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Existence of solutions for second-order differential inclusions involving proximal normal cones [PDF]
In this work, we prove global existence of solutions for second order differential problems in a general framework. More precisely, we consider second order differential inclusions involving proximal normal cone to a set-valued map.
Bernicot, Frederic, Venel, Juliette
core
Abstract Background Sickle cell disease (SCD) is an autosomal recessive hemoglobinopathy affecting millions of individuals worldwide. The clinical expression and psychosocial burden of SCD vary widely across geographical, cultural, and healthcare system contexts, underscoring the need for setting‐specific approaches to assessment.
Desiré Fantasia +7 more
wiley +1 more source
Insertion of continuous set-valued mappings
An interesting result about the existence of "intermediate" set-valued mappings between pairs of such mappings was obtained by Nepomnyashchii. His construction was for a paracompact domain, and he remarked that his result is similar to Dowker's insertion theorem and may represent a generalisation of this theorem.
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Contingent derivatives and regularization for noncoercive inverse problems
We study the inverse problem of parameter identification in non-coercive variational problems that commonly appear in applied models. We examine the differentiability of the set-valued parameter-to-solution map by using the first-order and the second ...
Clason, Christian +3 more
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ABSTRACT Neuroblastoma is the most common extracranial solid tumor in early childhood. Its clinical behavior is highly variable, ranging from spontaneous regression to fatal outcome despite intensive treatment. The International Society of Pediatric Oncology Europe Neuroblastoma Group (SIOPEN) Radiology and Nuclear Medicine Specialty Committees ...
Annemieke Littooij +11 more
wiley +1 more source
Decompositions of set-valued mappings [PDF]
Let X be a set, BX denotes the family of all subsets of X and F:X→BX be a set-valued mapping such that x∈F(x), supx∈X|F(x)|<κ, supx∈X|F−1(x)|<κ for all x∈X and some infinite cardinal κ. Then there exists a family F of bijective selectors of F such that |F|<κ and F(x)={f(x):f∈F} for each x∈X.
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Sensitivity Analysis in Multiobjective Optimization [PDF]
Sensitivity analysis is both theoretically and practically useful in optimization. However, only a few results in this direction have been obtained for multiobjective optimization.
Tanino, T.
core

