Results 11 to 20 of about 199 (164)
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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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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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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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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Boundary Value Problems, 2018 In this paper, we study a nonlocal Robin boundary value problem for fractional Hahn integrodifference equation. Our problem contains three fractional Hahn difference operators and a fractional Hahn integral with different numbers of q,ω $q, \omega$ and ...
Nichaphat Patanarapeelert +1 more
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Boundary Value Problems, 2018 The aim of this work is to study a nonlocal Dirichlet boundary value problem for sequential Caputo fractional Hahn integrodifference equation. The problem contains two fractional Hahn difference operators and a fractional Hahn integral with different ...
Nichaphat Patanarapeelert +2 more
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A Generalization of the Hahn-Banach Theorem [PDF]
Nagoya Mathematical Journal, 1953 Recently the Hahn-Banach theorem for normed spaces over non-archimedean valued fields was treated by A. F. Monna [1], L S. Cohen [2], A. W. Ingleton [3], and the writer [4]. In [3] and [4] very essential use was made of an idea of L. Nachbin [5]
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A THEOREM OF THE HAHN-BANACH TYPE
Demonstratio Mathematica, 1995 Summary: Let \(Y\) be a linear subspace of a linear space \(X\) over the rationals \(\mathbb{Q}\) and let \(C\subseteq X\) be \(\mathbb{Q}\)-convex. Moreover, let \(\mathcal F\) be a family of subsets of a linear space \(E\) over \(\mathbb{Q}\) having the binary intersection property.
Smajdor, Wilhelmina +1 more
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Discrete Dynamics in Nature and Society, 2017 The existence and uniqueness results of two fractional Hahn difference boundary value problems are studied. The first problem is a Riemann-Liouville fractional Hahn difference boundary value problem for fractional Hahn integrodifference equations.
Nichaphat Patanarapeelert +1 more
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