Algorithms in Nonsmooth Optimization

Dear Colleagues,

In this Special Issue of Algorithms, we welcome contributions presenting and/or analyzing iterative methods for solving nonsmooth optimization problems and real-life applications that can be modeled in this way. A preference is given to splitting proximal point type methods and improvements of existing ones as well as iterative procedures for solving convex and nonconvex optimization problems where the involved functions lack differentiability. However, submissions on other types of iterative methods for solving nonsmooth optimization problems are welcome as well. In particular, extensions to multiobjective and vector optimization of known algorithms from scalar optimization are of special interest. Iterative methods for solving monotone inclusions, variational inequalities and equilibrium problems involving nonsmooth functions as well as continuous versions of proximal point type algorithms by means of dynamical systems and differential inclusions will also be considered. The proposed algorithms are expected to be illustrated by means of computational results; however, theoretical schemes of potential high interest can be accepted for publication as well as those hinting toward possible implementation approaches. Possible applications of the proposed iterative methods can be found in fields such as artificial intelligence, machine learning, location and logistics, game theory, image processing, etc.

Dr. Sorin-Mihai Grad
Guest Editor

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