Advances in Nonlinear Analysis, Analytic Number Theory, and Mathematical Inequalities
A special issue of Mathematics (ISSN 2227-7390). This special issue belongs to the section "Difference and Differential Equations".
Deadline for manuscript submissions: closed (30 June 2024) | Viewed by 12139
Special Issue Editors
Interests: nonlinear analysis; fixed point theory and its applications; variational principles and inequalities; optimization theory; fractional calculus theory
Special Issues, Collections and Topics in MDPI journals
Interests: boundary value problems; nonlinear analysis; differential and difference equations; fixed point theory; general inequalities
Special Issues, Collections and Topics in MDPI journals
2. School of Mathematical Sciences, Tiangong University, Tianjin 300387, China
3. Independent Researcher, Dallas, TX 75252-8024, USA
Interests: special functions; mathematical ınequalities; mathematical means; analytic combinatorics; analytic number theory
Special Issue Information
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
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Keywords
- functional analysis
- set-valued analysis
- fixed point theory
- differential equations
- optimization
- critical point theory
- analytic number theory
- Diophantine approximations
- analytic combinatorics
- mathematical inequalities
- mathematical means
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