Results 1 to 10 of about 68,838 (163)

On Character Space of the Algebra of BSE-functions [PDF]

open access: yesSahand Communications in Mathematical Analysis, 2018
Suppose that $A$ is a semi-simple and commutative Banach algebra. In this paper we try to characterize the character space of the Banach algebra $C_{rm{BSE}}(Delta(A))$ consisting of all  BSE-functions on $Delta(A)$ where $Delta(A)$ denotes the character
Mohammad Fozouni
doaj   +4 more sources

Simple inertial methods for solving split variational inclusions in Banach Spaces [PDF]

open access: yesMathematical Methods in the Applied Sciences, 2020
In this paper, we introduce two simple inertial algorithms for solving the split variational inclusion problem in Banach spaces. Under mild and standard assumptions, we establish the weak and strong convergence of the proposed methods, respectively. As theoretical realization we study existence of solutions of the split common fixed point problem in ...
Yan Tang, Aviv Gibali, Yeol Je Cho
openaire   +2 more sources

Simplification method for nonlinear equations of monotone type in Banach space

open access: yesЖурнал Средневолжского математического общества, 2021
In a Banach space, we study an operator equation with a monotone operator $T.$ The operator is an operator from a Banach space to its conjugate, and $T=AC,$ where $A$ and $C$ are operators of some classes.
Ryazantseva Irina P.
doaj   +1 more source

Convergence of Two Simple Methods for Solving Monotone Inclusion Problems in Reflexive Banach Spaces

open access: yesResults in Mathematics, 2022
15 ...
Chinedu Izuchukwu   +2 more
openaire   +2 more sources

A note on Nakano generalized difference sequence space

open access: yesAdvances in Difference Equations, 2020
In this paper, we investigate the necessary conditions on any s-type sequence space to form an operator ideal. As a result, we show that the s-type Nakano generalized difference sequence space X fails to generate an operator ideal.
Awad A. Bakery, Afaf R. Abou Elmatty
doaj   +1 more source

A simple, combinatorial proof of Gowers Dichotomy for Banach Spaces

open access: yes, 2021
In this paper we present a simple proof of Gowers Dichotomy which states that every infinite dimensional Banach Space has a subspace which either contains an unconditional basic sequence or is hereditarily indecomposable. Our approach is purely combinatorial and mainly based on work of Ellentuck, Galvin and Prikry in infinite Ramsey theory.
Frankiewicz, Ryszard   +1 more
openaire   +2 more sources

Pre-Quasi Simple Banach Operator Ideal Generated by s−Numbers

open access: yesJournal of Function Spaces, 2020
Let E be a weighted Nakano sequence space or generalized Cesáro sequence space defined by weighted mean and by using s−numbers of operators from a Banach space X into a Banach space Y.
Awad A. Bakery, Afaf R. Abou Elmatty
doaj   +1 more source

A strong convergence theorem for solving pseudo-monotone variational inequalities and fixed point problems using subgradient extragradient method in Banach spaces

open access: yesAIMS Mathematics, 2022
In this paper, we introduce an algorithm for solving variational inequalities problem with Lipschitz continuous and pseudomonotone mapping in Banach space.
Fei Ma , Jun Yang, Min Yin
doaj   +1 more source

Orlicz Generalized Difference Sequence Space and the Linked Pre-Quasi Operator Ideal

open access: yesJournal of Mathematics, 2020
In this article, the necessary conditions on s-type Orlicz generalized difference sequence space to generate an operator ideal have been examined. Therefore, the s-type Orlicz generalized difference sequence space which fails to generate an operator ...
Awad A. Bakery, OM Kalthum S. K. Mohamed
doaj   +1 more source

Some High-Order Convergent Iterative Procedures for Nonlinear Systems with Local Convergence

open access: yesMathematics, 2021
In this study, we suggested the local convergence of three iterative schemes that works for systems of nonlinear equations. In earlier results, such as from Amiri et al. (see also the works by Behl et al., Argryos et al., Chicharro et al., Cordero et al.,
Ramandeep Behl   +2 more
doaj   +1 more source

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