Advanced Theories and Novel Methods for Nonlinear Analysis, Optimization and Applications

Dear Colleagues,

After more than a century of unremitting efforts by scholars, nonlinear analysis has found widespread and important applications in many fields that are at the core of many branches of pure and applied mathematics, including functional analysis, fixed point theory, nonlinear ordinary and partial differential equations, variational analysis, dynamical system theory, control theory, convex analysis, nonsmooth analysis, critical point theory, nonlinear optimization, fractional calculus and its applications, probability and statistics, mathematical economics, data mining, signal processing, biological engineering, electronic networks, electromagnetic theory, and so forth.

In the last century, optimization problems have been intensively studied and various iterative methods have been proposed. Many problems that arise in the real world are solved using different optimization algorithms and techniques via mathematical models. Among the possible application fields of optimization, we note integral and differential equations and inclusions, dynamic system theory, control theory, economics, game theory, machine learning, clustering, location theory, game theory, signal processing, finance mathematics, and so on. The construction and processing of artificial intelligence (AI) models has been one of the hottest optimization research topics over the past fifty years. Algorithms play an important role in optimization and its applications. The proposal of various feasible optimization algorithms has promoted the progress of artificial intelligence.

We cordially and earnestly invite researchers to contribute their original and high-quality research papers related to the advanced novel methods and algorithms for fixed point theory, optimization and their applications. Potential topics include, but are not limited to:

• Fixed point theory and best proximity point theory;
• Convex and nonconvex optimization problems;
• Fractional integro-differential equations;
• Algorithms;
• Vector optimization problems;
• Set-valued optimization problems;
• Matrix theory;
• Numerical analysis;
• Control theory;
• Finite element method;
• Computational intelligence;
• Linear and nonlinear dynamical systems;
• Image and signal processing;
• Inverse and ill-posed problems;
• Machine learning;
• Data analytics.

Prof. Dr. Wei-Shih Du
Dr. Yousuke Araya
Guest Editors

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• fixed point theory
• best proximity point theory
• fractional integro-differential equation
• finite element method
• algorithms
• vector optimization problems
• set-valued optimization problems
• dynamical system
• computational intelligence
• image and signal processing
• inverse and ill-posed problems
• convex and nonconvex optimization problems
• machine learning
• data analytics