Results 31 to 40 of about 2,758,163 (163)
2-convexity and 2-concavity in Schatten ideals. [PDF]
The properties p-convexity and q-concavity are fundamental in the study of Banach sequence spaces (see [L-TzII]), and in recent years have been shown to be of great significance in the theory of the corresponding Schatten ideals ([G-TJ], [LP-P] and many ...
Jameson, Graham J. O.
core +3 more sources
M-constants in Orlicz Spaces Equipped with the Luxemburg Norm
Riesz angle μ2(x)is an important geometric constant in Banach lattice spaces, which is closely related to the fixed point properties of spaces. In this paper, the M-constants of Orlicz function spaces and Orlicz sequence spaces equipped with Luxemburg ...
WANG Zi-xuan, CUI Yun-an, WANG Jing
doaj +1 more source
Kaleva-Seikkala’s Type Fuzzy b-Metric Spaces and Several Contraction Mappings
In this paper, we introduce the concept of Kaleva-Seikkala’s type fuzzy b-metric spaces as a generalization of the notion of b-metric spaces and fuzzy metric spaces.
Shu-Fang Li, Fei He, Shu-Min Lu
doaj +1 more source
Entire Analytic Functions of Unbounded Type on Banach Spaces and Their Lineability
In the paper we establish some conditions under which a given sequence of polynomials on a Banach space X supports entire functions of unbounded type, and construct some counter examples.
Andriy Zagorodnyuk, Anna Hihliuk
doaj +1 more source
A double projection algorithm for quasimonotone variational inequalities in Banach spaces
We propose a double projection algorithm for solving variational inequality problems in Banach spaces. We establish the strong convergence of the whole sequence generated by the proposed method under the quasimonotone and uniform continuity on bounded ...
Lian Zheng
doaj +1 more source
Banach spaces for which the space of operators has 2𝔠 closed ideals
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 +2 more
doaj +1 more source
New Sequence Spaces and Function Spaces on Interval [0,1]
We study the sequence spaces and the spaces of functions defined on interval 0,1 in this paper. By a new summation method of sequences, we find out some new sequence spaces that are interpolating into spaces between ℓp and ℓq and function spaces that are
Cheng-Zhong Xu, Gen-Qi Xu
doaj +1 more source
Kannan maps have inspired a branch of metric fixed point theory devoted to the extension of the classical Banach contraction principle. The study of these maps in modular vector spaces was attempted timidly and was not successful.
Afrah A. N. Abdou, Mohamed Amine Khamsi
doaj +1 more source
Remarks on Asymptotic Centers and Fixed Points
We introduce a class of nonlinear continuous mappings defined on a bounded closed convex subset of a Banach space X. We characterize the Banach spaces in which every asymptotic center of each bounded sequence in any weakly compact convex subset is ...
A. Kaewkhao, K. Sokhuma
doaj +1 more source
On various Riesz-dual sequences for Schauder frames
In this paper, we introduce various definitions of R-duals, to be called R-duals of type I, II, which leads to a generalization of the duality principle in Banach spaces.
Ali Reza Neisi, Mohammad Sadegh Asgari
doaj +1 more source

