Results 11 to 20 of about 962 (185)
Sub Nearly Uniformly Convex of Orlicz Sequence Spaces Equipped with Luxemburg Norm
Journal of Harbin University of Science and Technology, 2022 Nearly uniform noncreasy is a important property in Banach spaces. In this paper we introduce a new geometric property, which is called sub nearly uniformly convex property.
Cui Yun-an, Dai Ming-jun
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On Approximate Operator Representations of Sequences in Banach Spaces [PDF]
Complex Analysis and Operator Theory, 2021 Generalizing results by Halperin et al., Grivaux recently showed that any linearly independent sequence $\{f_k\}_{k=1}^\infty$ in a separable Banach space $X$ can be represented as a suborbit $\{T^{α(k)}φ\}_{k=1}^\infty$ of some bounded operator $T: X\to X.$ In general, the operator $T$ and the powers $α(k)$ are not known explicitly.
Ole Christensen +2 more
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Property ( k) of Orlicz Sequence Spaces
Journal of Harbin University of Science and Technology, 2017 Property ( k) is an important geometric property in Banach spaces，and it is closely associated with fixed point property． By the geometric theory of Banach spaces and Orlicz spaces， we investigated the characterization for property( k) in a special ...
ZUO Ming-xia, PENG Li-na
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On spreading $c_0$-sequences in Banach spaces [PDF]
Studia Mathematica, 1999 The author introduces the notions of spreading-\((s)\) and spreading-\((u)\). The main results proved: spreading-\((s)\) implies spreading-\((u)\) and some necessary and sufficient conditions for spreading-\((s)\) and spreading-\((u)\).
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Weak and strong convergence theorems for relatively nonexpansive mappings in Banach spaces
Fixed Point Theory and Applications, 2004 We first introduce an iterative sequence for finding fixed points of relatively nonexpansive mappings in Banach spaces, and then prove weak and strong convergence theorems by using the notion of generalized projection.
Wataru Takahashi, Shin-ya Matsushita
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Generalized quasi-Banach sequence spaces and measures of noncompactness
Anais da Academia Brasileira de Ciências, 2013 Given 0 < s ≤ 1 and ψ an s-convex function, s – ψ -sequence spaces are introduced. Several quasi-Banach sequence spaces are thus characterized as a particular case of s – ψ -spaces.
EDUARDO B. SILVA +2 more
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Multipliers for p-Bessel Sequences in Banach Spaces [PDF]
Integral Equations and Operator Theory, 2010 17 ...
Rahimi, Asghar, Balazs, Peter
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Alexandria Engineering Journal, 2023 This article aims to study the existence of the solutions to the infinite system of Hilfer fractional differential equations in tempered sequence spaces.
Inzamamul Haque +2 more
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V-Proximal Trustworthy Banach Spaces
Journal of Function Spaces, 2020 In a recent work (2016), the first author proved the fuzzy sum rule for the V-proximal subdifferential under some natural assumptions on an equivalent norm of the Banach spaces.
Messaoud Bounkhel, Mostafa Bachar
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Existence and Uniqueness of Fixed Point for Cyclic Mappings in Quasi-αb-Metric Spaces
InPrime, 2022 The fixed point theory remains the most important and preferred topic studied in mathematical analysis. This study discusses sufficient conditions to prove a unique fixed point in quasi-αb-metric spaces with cyclic mapping.
Ainun Sukmawati Al Idrus +4 more
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