Results 1 to 10 of about 1,424 (201)

Approximation of common fixed points in 2-Banach spaces with applications

Applied General Topology, 2019
The purpose of this paper is to establish the existence and uniqueness of common fixed points of a family of self-mappings satisfying generalized rational contractive condition in 2-Banach spaces. An example is included to justify our results.
D. Ramesh Kumar, M. Pitchaimani
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Observations on the Separable Quotient Problem for Banach Spaces

Axioms, 2020
The longstanding Banach−Mazur separable quotient problem asks whether every infinite-dimensional Banach space has a quotient (Banach) space that is both infinite-dimensional and separable.
Sidney A. Morris, David T. Yost
doaj   +1 more source

Further Properties of 1- and 2-Dimensional U- and W-Convexity and Fixed Point of Nonexpansive Mappings in Banach Spaces X and X∗

Journal of Mathematics, 2021
In this paper, we further studied properties of the modulus of n-dimensional U-convexity and the modulus of n-dimensional U-flatness when n = 1 (2-dimensional character) and n = 2 (3-dimensional character).
Ji Gao
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Theory Analysis for the Convergence of Kernel-Regularized Online Binary Classification Learning Associated with RKBSs

Journal of Mathematics, 2023
It is known that more and more mathematicians have paid their attention to the field of learning with a Banach space since Banach spaces may provide abundant inner-product structures.
Lin Liu, Xiaoling Pan, Baohuai Sheng
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Banach spaces for which the space of operators has 2𝔠 closed ideals

Forum of Mathematics, Sigma, 2021
We formulate general conditions which imply that ${\mathcal L}(X,Y)$, the space of operators from a Banach space X to a Banach space Y, has $2^{{\mathfrak {c}}}$ closed ideals, where ${\mathfrak {c}}$ is the cardinality of the continuum.
Daniel Freeman, Thomas Schlumprecht, András Zsák   +2 more
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Generalized Hyers-Ulam Stability of Additive Functional Inequality in Modular Spaces and β-Homogeneous Banach Spaces

International Journal of Analysis and Applications, 2023
In this work, we investigate the generalised Hyers-Ulam stability of additive functional inequality in modular spaces with ∆2-conditions and in β-homogeneous Banach spaces.
Abderrahman Baza, Mohamed Rossafi
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The implicit midpoint rule for nonexpansive mappings in 2-uniformly convex hyperbolic spaces [PDF]

Arab Journal of Mathematical Sciences, 2020
The purpose of this paper is to introduce the implicit midpoint rule (IMR) of nonexpansive mappings in 2- uniformly convex hyperbolic spaces and study its convergence.
H. Fukhar-ud-din, A.R. Khan
doaj   +1 more source

Hyers–Ulam stability and hyperstability of a Jensen-type functional equation on 2-Banach spaces

Journal of Inequalities and Applications, 2022
The main aim of this paper is to establish the Hyers–Ulam stability and hyperstability of a Jensen-type quadratic mapping in 2-Banach spaces. That is, we prove the various types of Hyers–Ulam stability and hyperstability of the Jensen-type quadratic ...
Arumugam Ponmana Selvan, Abbas Najati
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Stability of the Apollonius Type Additive Functional Equation in Modular Spaces and Fuzzy Banach Spaces

Mathematics, 2019
In this work, we investigate the generalized Hyers-Ulam stability of the Apollonius type additive functional equation in modular spaces with or without Δ 2 -conditions.
Sang Og Kim, John Michael Rassias
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Operator Linear-2 Terbatas pada Ruang Bernorma-2 Non-Archimedean

Jurnal Fourier, 2019
Di dalam paper ini dikonstruksikan operator linear-2 terbatas dari X2 ke Y , dengan X  ruang bernorma-2 non-Archimedean dan  ruang bernorma non-Archimedean.
Burhanudin Arif Nurnugroho, Supama Supama, A. Zulijanto   +2 more
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