Results 11 to 20 of about 11,694 (136)

Center and Quasi Center on Banach Normal Hyperalgebra [PDF]

open access: yesمجلة 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
doaj   +1 more source

From Hahn–Banach Type Theorems to the Markov Moment Problem, Sandwich Theorems and Further Applications

open access: yesMathematics, 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
doaj   +1 more source

Further study on second order nonlocal problems monitored by an operator: an approach without compactness

open access: yesElectronic 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
doaj   +1 more source

AN ANALOGY OF HAHN–BANACH SEPARATION THEOREM FOR NEARLY TOPOLOGICAL LINEAR SPACES

open access: yesUral 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
doaj   +1 more source

Convexity, Markov Operators, Approximation, and Related Optimization

open access: yesMathematics, 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
doaj   +1 more source

Existence results of nonlocal Robin mixed Hahn and q-difference boundary value problems

open access: yesAdvances 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
doaj   +1 more source

On Hahn-Banach theorem and some of its applications

open access: yesOpen 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
doaj   +1 more source

A new and self-contained proof of Borwein's norm duality theorem [PDF]

open access: yes, 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
core   +1 more source

On nonlocal Robin boundary value problems for Riemann–Liouville fractional Hahn integrodifference equation

open access: yesBoundary 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
doaj   +1 more source

On nonlocal Dirichlet boundary value problem for sequential Caputo fractional Hahn integrodifference equations

open access: yesBoundary 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
doaj   +1 more source

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