Results 21 to 30 of about 2,758,163 (163)

Property ( k) of Orlicz Sequence Spaces

open access: yesJournal 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
doaj   +1 more source

Weak and strong convergence theorems for relatively nonexpansive mappings in Banach spaces

open access: yesFixed 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
doaj   +2 more sources

Some remarks on James-Schreier spaces. [PDF]

open access: yes, 2010
The James-Schreier spaces V_p, where p is a real number greater than or equal to 1, were recently introduced by Bird and Laustsen as an amalgamation of James' quasi-reflexive Banach space on the one hand and Schreier's Banach space giving a ...
Laustsen, Niels Jakob   +2 more
core   +4 more sources

Generalized quasi-Banach sequence spaces and measures of noncompactness

open access: yesAnais 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
doaj   +1 more source

Several Inequalities of Frechet Spaces [PDF]

open access: yes, 2005
Several inequalities of Frechet spaces are given in this paper, which can be regarded as the Frechet spaces versions of the well-known polarization identity occurring in Hilbert spaces. Our results generalize many inequalities in Banach spaces.
Shi, Chaofeng
core   +3 more sources

Existence of solutions for an infinite system of Hilfer fractional boundary value problems in tempered sequence spaces

open access: yesAlexandria 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
doaj   +1 more source

V-Proximal Trustworthy Banach Spaces

open access: yesJournal 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
doaj   +1 more source

Frèchet and (LB)-sequence spaces induced by dual Banach spaces of discrete Cesàro spaces [PDF]

open access: yes, 2021
The research of J. Bonet was partially supported by the projects MTM2016-76647-P and GV Prometeo/2017/102 (Spain).Bonet Solves, JA.; Ricker, WJ. (2021). Frechet and (LB) sequence spaces induced by dual Banach spaces of discrete Cesaro spaces. Bulletin of
Ricker, Werner J.   +4 more
core   +1 more source

Existence and Uniqueness of Fixed Point for Cyclic Mappings in Quasi-αb-Metric Spaces

open access: yesInPrime, 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
doaj   +1 more source

Leray-Schauder results for multivalued nonlinear contractions defined on closed subsets of a Fréchet space

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2006
New Leray-Schauder results are presented for multivalued contractions defined on subsets of a Fréchet space E. The proof relies on fixed point results in Banach spaces and on viewing E as the projective limit of a sequence of Banach spaces.
Ravi P. Agarwal, Donal O'Regan
doaj   +1 more source

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