Results 21 to 30 of about 3,123 (248)

On 2 - normed space valued paranormed null sequence space

open access: yesBibechana, 2013
In this paper we introduce and study a new class c0 ( S, α‾ , u‾ , ||. , .|| ) of sequences with values in 2- normed space as a generalization of basic null sequence space c0. We investigate some conditions pertaining to the containment relations of the
Narayan Prasad Pahari
doaj   +3 more sources

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

open access: diamondApplied General Topology, 2019
<p>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. We approximate the common fixed point by Mann and Picard type iteration schemes.
D. Ramesh Kumar, M. Pitchaimani
openalex   +6 more sources

Approximation of two general functional equations in 2-Banach spaces [PDF]

open access: diamondJournal of Mathematical Inequalities, 2023
The authors study the Ulam stability and hyperstability of two general functional equations in several variables in 2-Banach spaces, thus improving \textit{K. Ciepliński}'s result [J. Fixed Point Theory Appl. 23, No. 3, Paper No. 33, 14 p. (2021; Zbl 1473.39047)] and their consequences.
Choonkil Park   +3 more
openalex   +2 more sources

Properties of Generalized Modulus of Smoothness and Generalized Modulus of Convexity

open access: yesJournal of Harbin University of Science and Technology, 2020
Based on the definitions of generalized modulus of smoothness, the relation between generalized modulus of smoothness and t in the Banach spaces is studied, which proves three equivalent conditions of uniform normal structure and four equivalent ...
ZHAO Liang, YU Yang
doaj   +1 more source

Equivalence for Various Forms of Quadratic Functional Equations and Their Generalized Hyers–Ulam–Rassias Stability

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2023
In this manuscript, we study the properties and equivalence results for different forms of quadratic functional equations. Using the Brzdȩk and Ciepliński fixed-point approach, we investigate the generalized Hyers–Ulam–Rassias stability for the 3 ...
Ravinder Kumar Sharma, Sumit Chandok
doaj   +1 more source

Approximation theory in 2-Banach spaces

open access: yesNonlinear Analysis: Theory, Methods & Applications, 2009
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Guerdal, Mehmet   +2 more
openaire   +4 more sources

Shape Transformation Approaches for Fluid Dynamic Optimization

open access: yesAerospace, 2023
The contribution is devoted to combined shape- and mesh-update strategies for parameter-free (CAD-free) shape optimization methods. Three different strategies to translate the shape sensitivities computed by adjoint shape optimization procedures into ...
Peter Marvin Müller   +2 more
doaj   +1 more source

Statistical approximation with a sequence of 2-Banach spaces

open access: yesMathematical and Computer Modelling, 2012
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Mehmet Gürdal, Ahmet Sahiner
openaire   +5 more sources

Norm attaining bilinear forms of ${\mathcal L}(^2 d_{*}(1, w)^2)$ at given vectors

open access: yesResearches in Mathematics, 2023
For given unit vectors $x_1, \cdots, x_n$ of a real Banach space $E,$ we define $$NA({\mathcal L}(^nE))(x_1, \cdots, x_n)=\{T\in {\mathcal L}(^nE): |T(x_1, \cdots, x_n)|=\|T\|=1\},$$ where ${\mathcal L}(^nE)$ denotes the Banach space of all continuous $n$
S.G. Kim
doaj   +1 more source

Operator Linear-2 Terbatas pada Ruang Bernorma-2 Non-Archimedean

open access: yesJurnal 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   +2 more
doaj   +1 more source

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