Special Issue "Advances in Matrix Transformations, Operators and Symmetry"

A special issue of Symmetry (ISSN 2073-8994). This special issue belongs to the section "Mathematics and Symmetry/Asymmetry".

Deadline for manuscript submissions: 31 December 2022 | Viewed by 1884

Special Issue Editors

Dr. Muhammed Mursaleen
E-Mail Website
Guest Editor
Department of Mathematics, Aligarh Muslim University, Aligarh 202002, India
Interests: functional analysis; operator theory; approximation theory; fixed point theory; applications to differential and integral equations
Dr. Mikail Et
E-Mail Website
Guest Editor
Department of Mathematics, Fırat University, 23119 Elazığ, Turkey
Interests: sequence spaces; fuzzy sequence; dual spaces; statistical convergence; geometrics properties

Special Issue Information

Dear Colleagues,

The aim of this Special Issue is to focus on the advances in Banach spaces, matrix transformations, symmetry, and their various developments and applications in operators, differential and integral equations, functional equations, symmetry, and other related areas. The framework of Banach spaces has been considered by many researchers to obtain the existence of solutions of differential and integral equations. We stress that symmetry plays an important role in proving the Banach–Steinhaus uniform boundedness principle, while this theorem is considered one of the cornerstones of the theory of functional analysis associated with normed space (and therefore Banach space as well). The theory of matrices or matrix transformations has significance in a variety of problems, including Fourier analysis, approximation of operators, symmetry, and analytic continuation, to name a few.

We cordially invite researchers to submit novel research and review articles that will contribute to the ongoing study of the theory of Banach spaces, matrix transformations, and symmetry. Potential topics include but are not limited to the following:

  • The geometry, topology and symmetry of Banach spaces;
  • Solvability of differential and integral equations in Banach spaces;
  • Matrix transformations, associated compact operators and symmetry;
  • Approximation of positive operators and symmetry;
  • Fixed-point theory and applications;
  • Summability methods associated with symmetry.

Submit your paper and select the Journal “Symmetry” and the Special Issue “Advances in Matrix Transformations, Operators and Symmetry” via: MDPI submission system. Our papers will be published on a rolling basis and we will be pleased to receive your submission once you have finished it.

Dr. Muhammed Mursaleen
Dr. Mikail Et
Guest Editors

Manuscript Submission Information

Manuscripts should be submitted online at www.mdpi.com by registering and logging in to this website. Once you are registered, click here to go to the submission form. Manuscripts can be submitted until the deadline. All submissions that pass pre-check are peer-reviewed. Accepted papers will be published continuously in the journal (as soon as accepted) and will be listed together on the special issue website. Research articles, review articles as well as short communications are invited. For planned papers, a title and short abstract (about 100 words) can be sent to the Editorial Office for announcement on this website.

Submitted manuscripts should not have been published previously, nor be under consideration for publication elsewhere (except conference proceedings papers). All manuscripts are thoroughly refereed through a single-blind peer-review process. A guide for authors and other relevant information for submission of manuscripts is available on the Instructions for Authors page. Symmetry is an international peer-reviewed open access monthly journal published by MDPI.

Please visit the Instructions for Authors page before submitting a manuscript. The Article Processing Charge (APC) for publication in this open access journal is 1800 CHF (Swiss Francs). Submitted papers should be well formatted and use good English. Authors may use MDPI's English editing service prior to publication or during author revisions.

Published Papers (3 papers)

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Research

Article
New Parallel Fixed Point Algorithms and Their Application to a System of Variational Inequalities
Symmetry 2022, 14(5), 1025; https://doi.org/10.3390/sym14051025 - 17 May 2022
Viewed by 207
Abstract
In this study, considering the advantages of parallel fixed point algorithms arising from their symmetrical behavior, new types of parallel algorithms have been defined. Strong convergence of these algorithms for certain mappings with altering points has been analyzed, and it has been observed [...] Read more.
In this study, considering the advantages of parallel fixed point algorithms arising from their symmetrical behavior, new types of parallel algorithms have been defined. Strong convergence of these algorithms for certain mappings with altering points has been analyzed, and it has been observed that their convergence behavior is better than existing algorithms with non-simple samples. In addition, the concept of data dependency for these algorithms has been examined for the first time in this study. Finally, it has been proven that the solution of a variational inequality system can be obtained using newly defined parallel algorithms under suitable conditions. Full article
(This article belongs to the Special Issue Advances in Matrix Transformations, Operators and Symmetry)
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Article
The Spectrum of Second Order Quantum Difference Operator
Symmetry 2022, 14(3), 557; https://doi.org/10.3390/sym14030557 - 10 Mar 2022
Viewed by 451
Abstract
In this study, we give another generalization of second order backward difference operator 2 by introducing its quantum analog q2. The operator q2 represents the third band infinite matrix. We construct its domains [...] Read more.
In this study, we give another generalization of second order backward difference operator 2 by introducing its quantum analog q2. The operator q2 represents the third band infinite matrix. We construct its domains c0(q2) and c(q2) in the spaces c0 and c of null and convergent sequences, respectively, and establish that the domains c0(q2) and c(q2) are Banach spaces linearly isomorphic to c0 and c, respectively, and obtain their Schauder bases and α-, β- and γ-duals. We devote the last section to determine the spectrum, the point spectrum, the continuous spectrum and the residual spectrum of the operator q2 over the Banach space c0 of null sequences. Full article
(This article belongs to the Special Issue Advances in Matrix Transformations, Operators and Symmetry)
Article
Two Dimensional Laplace Transform Coupled with the Marichev-Saigo-Maeda Integral Operator and the Generalized Incomplete Hypergeometric Function
Symmetry 2021, 13(12), 2420; https://doi.org/10.3390/sym13122420 - 14 Dec 2021
Viewed by 561
Abstract
This paper represents the processing of the two-dimensional Laplace transform with the two-dimensional Marichev–Saigo–Maeda integral operators and two-dimensional incomplete hypergeometric function. This article provides an entirely new perspective on the Marichev–Saigo–Maeda operators and incomplete functions. In addition, we have included some interesting results, [...] Read more.
This paper represents the processing of the two-dimensional Laplace transform with the two-dimensional Marichev–Saigo–Maeda integral operators and two-dimensional incomplete hypergeometric function. This article provides an entirely new perspective on the Marichev–Saigo–Maeda operators and incomplete functions. In addition, we have included some interesting results, such as left-sided Saigo–Maeda operators and right-sided Saigo–Maeda operators, making this a good direction for symmetry analysis. Full article
(This article belongs to the Special Issue Advances in Matrix Transformations, Operators and Symmetry)
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