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Symmetry in Geometry and Topology: Theory and Application

This special issue belongs to the section “Mathematics“.

Special Issue Information

Dear Colleagues,

The aim of this Special Issue is to focus on recent developments and achievements in functional analysis such as the topology and symmetry of Banach spaces and their geometry, statistical summability, and statistical approximation, almost summability, fuzzy sequence spaces, matrix summability, compact matrix operators between sequence spaces and infinite systems of differential and integral equations in sequence spaces, and various applications. We cordially invite researchers to submit original research and review articles describing new methods and applications that are directly or indirectly related to summability, function spaces, and sequence spaces. We also welcome research including fixed-point theory, operator theory, approximation theory, and symmetry. Potential topics include, but are not limited to, the following:

  • The geometry, topology, and symmetry of sequence spaces;
  • Polynomials and positive operators and symmetry;
  • Summability methods for q-operators and symmetry;
  • Approximation and statistical approximation with applications in computer-aided design and optimization, and symmetry;
  • Fixed point theory and applications;
  • Matrix and non-matrix methods, associated compact operators, and symmetry;
  • Dual summability methods associated with symmetry;
  • Classical sequence spaces and their matrix domains associated with symmetry;
  • Different sequence spaces and their applications;
  • Statistical convergence in probability, Riesz spaces, and normed spaces;
  • Fuzzy sequence spaces;
  • Symmetric sequence spaces.

Prof. Dr. Mikâil Et
Prof. Dr. Bipan Hazarika
Prof. Dr. Naim L. Braha
Dr. María C. Listán-García
Dr. Pinakadhar Baliarsingh
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 250 words) can be sent to the Editorial Office for assessment.

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 2400 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.

Keywords

  • asymptotically statistically equivalence
  • difference sequence
  • fractional operator
  • statistical convergence
  • fuzzy sequence space
  • symmetric sequence space
  • Szász–Mirakyan operators
  • matrix methods
  • modulus function
  • Voronovskaja theorem
  • Korovkin-type theorem
  • fixed point theory
  • nonexpansive mappings
  • q-calculus
  • quantum difference operator
  • α-, β-, and γ-duals
  • point spectrum
  • continuous spectrum
  • residual spectrum
  • statistical convergence in probability
Graphical abstract

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Symmetry - ISSN 2073-8994