Advances in Nonlinear Analysis, Analytic Number Theory, and Mathematical Inequalities

Dear Colleagues,

Over the past century, nonlinear analysis has been widely and significantly applied in many areas of mathematics, including nonlinear ordinary and partial differential equations, functional analysis, fixed point theory, nonlinear optimization, variational analysis, convex analysis, dynamical system theory, mathematical economics, signal processing, control theory, data mining, and so forth. Typical problems in analytic number theory are enumeration problems involving prime numbers, Diophantine equations, and similar number-theoretic objects. These questions are of long-standing intrinsic interest, and the answers provided by analytic number theory are often used in applied mathematics, including applications in cryptography, asymptotic and error analysis, Fourier series and transforms, contour integrals and residues, Laplacian spectral theory, and so on. Abstract mathematical inequalities have been considered important tools for mathematical and scientific research. Classical inequalities (such as Jensen's inequality, Hermite–Hadamard's inequality, Hölder's inequality, Minkowski's inequality, Grüss' inequality, Chebyshev's inequality, etc.) have found various applications in many branches of mathematics, such as functional analysis, optimization theory, numerical analysis, probability and statistics, information theory, and so on.

This Special Issue will pay more attention to new original and real-world applications of nonlinear analysis, analytic number theory and mathematical inequalities. We cordially and earnestly invite researchers to contribute their original and high-quality research papers which will inspire advances in nonlinear analysis, analytic number theory, mathematical inequalities, and their applications. Potential topics include but are not limited to:

• Nonlinear functional analysis;
• Set-valued analysis;
• Fixed point, coincidence point, and best proximity point theory;
• Variational and topological methods for ODEs and PDEs;
• Critical point theory;
• Optimization;
• Matrix theory;
• Convex analysis;
• Analytic number theory;
• Diophantine approximations;
• Analytic combinatorics;
• Mathematical inequalities and applications;
• Mathematical means and applications;
• Theory and applications for special functions.

Prof. Dr. Wei-Shih Du
Prof. Dr. Ravi P. Agarwal
Prof. Dr. Feng Qi
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-anonymized 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.