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New Advances in Functional Analysis

This special issue belongs to the section “E: Applied Mathematics“.

Special Issue Information

Dear Colleagues,

Nowadays, functional analysis is a very important research field. In particular, as its branch, nonlinear functional analysis has played a crucial role in the exploration of various nonlinear phenomena in the real world. Results on solvability and numerical calculation solutions to the fixed-point equations of nonlinear operators exhibit the extraordinary versatility for applications in pure and applied sciences.

Nonlinear optimization also exhibits an extraordinary role in the exploration of some features that explain various nonlinear phenomena in the real world, such as efficiency, control, etc. Its research topics cover best approximation, numerical computation, efficiency solutions, well-posedness and so forth.

The objective of this Special Issue is to report new results in the two research areas as above: nonlinear functional analysis and optimization, and their applications. This Special Issue will accept high-quality papers including original research results, with illustrative applications, and survey articles of exceptional merit.

Prof. Dr. Luchuang Ceng
Prof. Dr. Ching-Feng Wen
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. Mathematics is an international peer-reviewed open access semimonthly 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 2600 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

  • Solvability of fixed-point equations of nonlinear operators
  • Best approximation problems in Banach spaces
  • Iterative procedures for fixed points or best proximity points
  • Nonlinear optimization and applications
  • Variational inclusions and equilibrium problems
  • Existence and optimality conditions
  • Dynamical systems and special functions
  • Well-posedness and optimal control

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Mathematics - ISSN 2227-7390