Special Issue "Symmetry Techniques for Multiobjective Optimization in Finite and Infinite Dimensions"
Deadline for manuscript submissions: closed (30 November 2021).
Interests: functional analysis; algebra; geometry; topology
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Special Issue in Mathematics: Functional Analysis, Topology and Quantum Mechanics II
A large number of problems in Bioengineering, Physics and Statistics can be modeled as multiobjective optimization problems. This kind of optimization problems also arise in many mathematical fields, such as the modeling of dynamical systems or networks. Sometimes, they are very hard to fully solve, that is, a full solution that optimizes all the objective functions at once might not actually exist. This is why Pareto optimality comes into play. However, it may even be hard to find all the Pareto optimal solutions of a multiobjective optimization problem. Therefore, it is sometimes necessary to reformulate the multiobjective optimization problem to obtain a simpler optimization problem that preserves the Pareto optimal solutions.
This Special Issue is devoted to collecting all new original results in this trend together with applications to real life situations that show the validity of the theoretical results. A functional analysis approach to multiobjective optimization problems is very welcome in this Special Issue because this kind of approach also works in infinite dimensions, whereas multiobjective optimization problems are typically approached from finite-dimensional settings.
Prof. Francisco Javier Garcia-Pacheco
Prof. Marina Murillo Arcila
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 papers will be 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 1800 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.
- Multiobjective optimization
- Pareto optimality
- Supporting vector
- Tychonov regularization
- Minimum-norm problems
- Convex optimization
- Operator norms
- Minimax optimization
- Fixed-point techniques