Results 11 to 20 of about 11,746 (180)
McShane-Whitney extensions in constructive analysis [PDF]
Logical Methods in Computer Science, 2020 Within Bishop-style constructive mathematics we study the classical McShane-Whitney theorem on the extendability of real-valued Lipschitz functions defined on a subset of a metric space.
Iosif Petrakis
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Mathematics, 2020 The aim of this review paper is to recall known solutions for two Markov moment problems, which can be formulated as Hahn–Banach extension theorems, in order to emphasize their relationship with the following problems: (1) pointing out a previously ...
Octav Olteanu
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On Hahn-Banach theorem and some of its applications
Open Mathematics, 2022 First, this work provides an overview of some of the Hahn-Banach type theorems. Of note, some of these extension results for linear operators found recent applications to isotonicity of convex operators on a convex cone.
Olteanu Octav
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A generalization of Hahn–Banach extension theorem
Journal of Mathematical Analysis and Applications, 2005 Let \(X\) and \(Y\) be real linear topological spaces with \(Y\) being partially ordered by a closed pointed convex cone \(K\), and let \(C\subset X\) be a convex set. A set-valued map \(F\colon\,C\to2^Y\) is said to be \(K\)-convex if, for every \(x,y\in C\) and \(\lambda\in(0,1)\), one has \(\lambda F(x)+(1-\lambda)F(y)\subset F\bigl(\lambda x+(1 ...
Peng, Jianwen +3 more
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Center and Quasi Center on Banach Normal Hyperalgebra [PDF]
مجلة جامعة النجاح للأبحاث العلوم الطبيعية, 2021 In this paper, we prove that every strongly distributive hyperalgebra is normal. Also, we prove that if X is a normed normal hyperalgebra with a propertyza◦x.zb◦y = zab◦xy and |λ| > ‖x‖, then (zλ◦e − x) is invertible. Moreover, we give a characterization
ayman mizyed, As'ad Y. As'ad
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Electronic Journal of Qualitative Theory of Differential Equations, 2023 In this note we prove the existence of mild solutions for nonlocal problems governed by semilinear second order differential inclusions which involves a nonlinear term driven by an operator.
Tiziana Cardinali, Giulia Duricchi
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AN ANALOGY OF HAHN–BANACH SEPARATION THEOREM FOR NEARLY TOPOLOGICAL LINEAR SPACES
Ural Mathematical Journal, 2021 In this paper, we introduce the notion of nearly topological linear spaces and use it to formulate an alternative definition of the Hahn–Banach separation theorem. We also give an example of a topological linear space to which the result is not valid. It
Madhu Ram
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Convexity, Markov Operators, Approximation, and Related Optimization
Mathematics, 2022 The present review paper provides recent results on convexity and its applications to the constrained extension of linear operators, motivated by the existence of subgradients of continuous convex operators, the Markov moment problem and related Markov ...
Octav Olteanu
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Existence results of nonlocal Robin mixed Hahn and q-difference boundary value problems
Advances in Difference Equations, 2020 In this paper, we aim to study a nonlocal Robin boundary value problem for fractional sequential fractional Hahn-q-equation. The existence and uniqueness results for this problem are revealed by using the Banach fixed point theorem.
Thongchai Dumrongpokaphan +2 more
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A new and self-contained proof of Borwein's norm duality theorem [PDF]
, 2005 Borwein’s norm duality theorem establishes the equality between the outer (inner) norm of a sublinear mapping and the inner (outer) norm of its adjoint mappings. In this note we provide an extended version of this theorem with a new and self-contained
Aragón Artacho, Francisco Javier
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