Recent Advances on Nonlinear Analysis and Optimization in Symmetry and Asymmetry

One of the main fascinating objectives of nonlinear analysis is to study differential and integral equations for various nonlinear operators, and local approximation problems. Nonlinear analysis has wide and significant applications in many areas of mathematics including functional analysis, variational analysis, convex analysis, nonlinear ordinary and partial differential equations, control theory, dynamical system theory, game theory, economics, signal processing, data mining, and so forth. Over the last half century, optimization problems have been intensively investigated and various feasible methods in analyzing convergence of problem-solving algorithms have been created. The Special Issue will attempt to cover the whole field of symmetry and asymmetry in its widest sense, together with its applications in many facets of nonlinear analysis and optimization. 

We cordially and earnestly invite researchers to contribute their original and high quality research papers which will inspire advances in nonlinear analysis, optimization, and their applications. Potential topics include, but are not limited to:

• Fixed point theory in symmetry and asymmetry
• Coincidence point and best proximity point theory in symmetry and asymmetry
• Set-valued analysis in symmetry and asymmetry
• Optimization in symmetry and asymmetry
• Nonsmooth analysis in symmetry and asymmetry
• Dynamical systems in symmetry and asymmetry
• Matrix theory in symmetry and asymmetry
• Game theory in symmetry and asymmetry
• Control theory in symmetry and asymmetry
• Calculus of variations and PDEs in symmetry and asymmetry
• Variational and topological methods for ODEs and PDEs
• Convex analysis
• Functional analysis
• Image and signal processing
• Data mining

Prof. Dr. Wei-Shih Du
Guest Editor

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-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.