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Fixed Point Theory and Its Applications in Nonlinear Analysis and Optimization

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

Special Issue Information

Dear Colleagues,

Fixed point theory is one of the most dynamic areas of research, with applications in various fields such as nonlinear analysis, optimization, differential equations, dynamical systems, mathematics of finance, and various fields of engineering. The existence of fixed points plays a central role, but fixed point theory also covers other topics, such as methods of computing fixed points, algorithms, or approximation methods. This framework may include programs arising from multi-agent frameworks, such as Nash equilibrium problems and generalized games.

The purpose of this Special Issue is to gather significant contributions that concern fixed point theory and its applications to nonlinear analysis and optimization. 

The topics of the Special Issue include, but are not limited to, the following:

  • Fixed point theorems in metric spaces or topological vector spaces.
  • Fixed point theorems for set-valued mappings.
  • Applications of fixed point theory in KKM theory.
  • Applications of fixed point theorems in convex analysis.
  • Equilibrium, quasi-equilibrium, and complementarity problems.

Prof. Dr. Mircea Balaj
Prof. Dr. Vasile Berinde
Dr. Massimiliano Giuli
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

  • fixed point
  • common fixed point
  • contraction
  • iteration
  • set-valued mapping
  • equilibrium problems
  • variational inequalities
  • Nash equilibria

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Mathematics - ISSN 2227-7390