Guest Editors
Prof. Wei-Shih Du
Email: wsdu@mail.nknu.edu.tw
Affiliation: Department of Mathematics, National Kaohsiung Normal University, Kaohsiung 824004, Taiwan
Homepage:
Research Interests: nonlinear analysis; fixed point theory and its applications; variational principles and inequalities; optimization theory; fractional calculus theory
Prof. Feng Qi
Email: honest.john.china@gmail.com
Affiliation:
1 School of Mathematics and Informatics, Henan Polytechnic University, Jiaozuo 454010, China
2 Independent Researcher, University Village, Dallas, TX 75252, USA
Homepage:
Research Interests: special functions; mathematical ınequalities; mathematical means; analytic combinatorics; analytic number theory
Prof. Radu Precup
Email: r.precup@ictp.acad.ro
Affiliation:
1 Faculty of Mathematics and Computer Science and Institute of Advanced Studies in Science and Technology, Babeș-Bolyai University, 400084 Cluj-Napoca, Romania
2 Tiberiu Popoviciu Institute of Numerical Analysis, Romanian Academy, P.O. Box 68-1, 400110, Cluj-Napoca, Romania
Homepage:
Research Interests: nonlinear analysis; ordinary differential equations; partial differential equations; mathematical modeling
Summary
For more than a century, nonlinear analysis has had widespread and prominent applications in many areas of mathematics, including functional analysis, fixed point theory, control theory, nonlinear optimization, variational analysis, and nonlinear ordinary differential equations and partial differential equations, convex analysis, dynamical system theory, mathematical economics, signal processing, and so on. Various extensions of special functions and their associated polynomials include Bernoulli numbers and polynomials, Euler numbers and polynomials with other classical numbers such as the gamma function, the beta function, the multiple gamma function and some of its q extensions and other extensions Theory, Riemann zeta function, generalized (Hurwitz zeta) function, multiple Hurwitz zeta functions) have been widely promoted and applied in various fields such as applied mathematics, combinatorial mathematics, physics, astronomy and engineering. Mathematical inequalities have always been considered an important tool in mathematics and scientific research. Classical inequalities (such as Hlder's inequality, Minkowski's inequality, Jensen's inequality, Hermite-Hadamard inequality, Grss’s inequality, Chebyshev's inequality, etc.) have different applications in many branches of mathematics, such as functional analysis, optimization theory, numerical analysis, probability statistics, information theory, and so forth.
This special issue will focus more on new ideas and real-world applications in nonlinear analysis, special functions and mathematical Inequalities. We cordially invite researchers to contribute original and high-quality research papers to promote the advancement of nonlinear analysis, special functions, mathematical Inequalities, and their applications. Potential topics include but are not limited to:
Nonlinear Functional analysis;
Fixed point, coincidence point and best proximity point theory;
ODEs and PDEs;
Set-valued analysis;
Critical point theory;
Optimization;
Control theory;
Convex analysis;
Matrix theory;
Analytic number theory;
Analytic combinatorics;
Mathematical means and applications;
Theory and applications for special functions.
Mathematical inequalities and applications.
Keywords
Functional analysis; Fixed point theory; Differential equations; Optimization; Critical point theory; Analytic number theory; Analytic combinatorics; Mathematical means; Mathematical inequalities
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