Results 21 to 30 of about 3,123 (248)
On 2 - normed space valued paranormed null sequence space
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
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Approximation of common fixed points in 2-Banach spaces with applications
<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
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Approximation of two general functional equations in 2-Banach spaces [PDF]
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
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Properties of Generalized Modulus of Smoothness and Generalized Modulus of Convexity
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
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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
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Approximation theory in 2-Banach spaces
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Guerdal, Mehmet +2 more
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Shape Transformation Approaches for Fluid Dynamic Optimization
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
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Statistical approximation with a sequence of 2-Banach spaces
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Mehmet Gürdal, Ahmet Sahiner
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Norm attaining bilinear forms of ${\mathcal L}(^2 d_{*}(1, w)^2)$ at given vectors
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
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Operator Linear-2 Terbatas pada Ruang Bernorma-2 Non-Archimedean
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
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