Symmetry and Asymmetry in Nonlinear Analysis, Optimization and Related Topics

Dear Colleagues,

For more than a century, nonlinear analysis has had widespread and significant applications in many fields at the core of many branches of pure and applied mathematics, including functional analysis, fixed point theory, variational analysis, convex analysis, nonlinear ordinary and partial differential equations, nonsmooth analysis, critical point theory, nonlinear optimization, fractional calculus and its applications, probability and statistics, dynamical system theory, mathematical economics, data mining, signal processing, and control theory. Additionally, there have been further applications in modern science, including in physics, biological engineering, electronic networks, electromagnetic theory, financial economics, and so on. It is known that there are plenty of problems that occur in the real world that have been solved using different optimization algorithms and techniques via a mathematical model. For the past six decades, the construction and processing of artificial intelligence (AI) models has been one of the hottest research topics. AI researchers have come up with a number of powerful optimization techniques and tools to optimize AI models. In fact, various feasible optimization algorithms have been used as powerful tools in the optimization process of artificial intelligence.

This Special Issue will focus on the new originality of nonlinear analysis, optimization, and related topics in integrating basic science into the real world, covering  symmetry and asymmetry. This Special Issue provides a platform for researchers to present their novel findings, innovative methodologies, and practical applications that contribute to the advancement of these interconnected domains. We cordially and earnestly invite researchers to contribute their original and high-quality research papers which will inspire advances in nonlinear analysis, optimization, and related topics with applications. Potential topics include, but are not limited to:

• Symmetry and asymmetry in fixed point theory with applications;
• Symmetry and asymmetry in fractional integro-differential equations;
• Symmetry and asymmetry in nonlinear dynamical systems;
• Symmetry and asymmetry in image and signal processing;
• Symmetry and asymmetry in inverse and ill-posed problems;
• Symmetry and asymmetry in optimization;
• Nonsmooth analysis;
• Critical point theory;
• Convex analysis and mathematical inequalities;
• Intelligence computation;
• Set-valued analysis;
• Nonlinear functional analysis;
• Computational intelligence;
• Machine learning;
• Data analytics.

Prof. Dr. Wei-Shih Du
Dr. Alexander Zaslavski
Dr. Huaping Huang
Dr. Narin Petrot
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. Symmetry 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 with applications
• fractional integro-differential equations
• nonlinear dynamical systems
• inverse and ill-posed problems
• optimization
• nonsmooth analysis
• critical point theory
• convex analysis
• mathematical inequalities
• intelligence computation
• set-valued analysis
• nonlinear functional analysis
• computational intelligence
• machine learning
• data analytics