Variational Analysis, Optimization, and Equilibrium Problems
This special issue belongs to the section "C1: Difference and Differential Equations".
Special Issue Information
Dear Colleagues,
Variational analysis, optimization, and equilibrium problems form a foundational triad in mathematical sciences, and these have far-reaching implications across both theory and real-world applications. These interrelated disciplines offer powerful frameworks for studying stability, convergence, and sensitivity in nonlinear systems, which are crucial in fields such as economics, engineering, data science, and machine learning. This Special Issue aims to collect original research articles that contribute to theoretical developments, algorithmic innovations, and the advancement of applied methodologies within these areas.
The scope of this Special Issue includes, but is not limited to, the following topics:
- Variational analysis and generalized differentiation;
- Convex and nonconvex optimization theory;
- Variational inequalities and inclusions;
- Equilibrium problems and quasi-equilibrium problems;
- Fixed point theory and its applications to optimization;
- Monotone and maximal monotone operator theory;
- Saddle point problems and duality theory;
- Set-valued and non-smooth analysis;
- Proximal algorithms and operator-splitting methods;
- Incremental and stochastic optimization methods;
- Multiobjective and vector optimization;
- Game theory and equilibrium modeling;
- Numerical methods for variational and equilibrium problems;
- Applications to machine learning, signal processing, and data science;
- Applications in economics, finance, engineering, and network systems.
Prof. Dr. Suthep Suantai
Dr. Prasit Cholamjiak
Guest Editors
Manuscript Submission Information
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Keywords
- variational analysis
- convex optimization
- nonconvex optimization
- bilevel optimization problems
- variational inequality
- equilibrium problem
- mixed equilibrium problem
- monotone operator theory
- fixed point theory
- saddle point problem
- generalized differentiation
- non-smooth and set-valued analysis
- duality theory
- proximal and operator-splitting methods
- multi-objective and stochastic optimization
- numerical algorithms
- applications in machine learning and engineering
- data classification
- data prediction
- image processing
- signal processing
- extreme learning machine
- deep machine learning
- non-expansive mappings
- quasi-non-expansive mappings
- demi-contractive mappings, family of non-expansive mappings
- inertial technique
- double interial algorithms
- minimization problem
- inclusion problems
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Published Papers
Mathematics - ISSN 2227-7390