ADVANCES IN NONLINEAR
ANALYSIS AND OPTIMIZATION

23-29 May 2024 ~ Erice, Sicily

The aim of the Workshop is to review and discuss recent developments of the theory of Nonlinear Analysis and Optimization and to provide an environment to fruitful interactions in these closely related fields of research and their applications. Nonlinear Analysis has wide and significant applications in many areas of mathematics, including functional analysis, variational analysis, nonlinear optimization, convex analysis, nonlinear ordinary and partial differential equations, dynamical system theory, mathematical economics, game theory, signal processing, control theory, and so forth. Optimization is a rich and thriving mathematical discipline. Properties of minimizers and maximisers of functions rely intimately on a wealth of techniques from mathematical analysis, including tools from calculus and its generalizations, topological notions, and more geometric ideas. The theory underlying current computational optimization techniques develops ever more sophisticated duality-based algorithms, interior point methods, and control-theoretic applications are typical examples. Many of our daily-life problems can be written in the form of an optimization problem. Hence, solution methods are needed to solve such problems. Due to the complexity of the problems, it is not always easy to find the exact solution. However, approximate solutions can be found. The theory of the best approximation is applicable in a variety of problems arising in nonlinear functional analysis and optimization. Therefore, we will focus on the connection between nonlinear analysis and optimization as well as their applications to integrate basic science into the real world. Emphasis will be placed on novel ideas and promising research developments. The workshop aims to an ideal surrounding for new collaboration opportunities and exchanging ideas.  

Topics of interest are (but not limited to):