Fixed Point Theory and Its Applications

Dear Colleagues,

To the best of our understanding, the fixed point theory has been a hot research area. It has played a vital role in handling nonlinear phenomena of the real world. There have been numerous results regarding the existence, uniqueness and approximation of fixed points of nonlinear operators, and these also find numerous applications in pure and applied sciences. In particular, it has vast applications in various areas arising from optimization, engineering, economics and biology. Many optimization problems, such as minimization, variational inequalities, equilibria and variational inclusions, are known to be resolved by it and to be very helpful in various areas such as economics, computer science and engineering. In addition, they find applications in machine learning. Many problems originating in these areas can be modeled as optimization problems. At present, the fixed point method is one of the most effective approaches for solving optimization problems. Therefore, it is worth mentioning that meaningful research works have been focused on developing fixed point iterative methods for finding solutions to optimization problems.

This Special Issue aims to collect and publish novel and original results on fixed point theory and its applications. We welcome papers on topics including, but not limited to, the following:

1. iterative methods;
2. optimization and control;
3. variational problems;
4. numerical problems in dynamical systems;
5. theory, methods and applications of optimization;
6. mathematical modeling via fixed point theory;
7. applications of fixed point theory in engineering, science, and technology.

Prof. Dr. Lu-Chuan Ceng
Prof. Dr. Jen-Chih Yao
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. Axioms 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.

• fixed point theory
• iterative methods
• bilevel optimization problems
• optimization problems on Hadamard manifold
• monotone inclusion problems
• optimization and control
• optimization theory, methods, and applications
• applications of fixed point theory and approaches