Strategies for Handling Applications with Nonconvexity

This volume gathers selected, peer-reviewed papers presented at the Strategies for Handling Applications with Nonconvexity (SHAWN) international workshop, held at the Banff International Research Station, Canada, from May 11 to 16, 2025. The contributions highlight recent advances in optimization theory and algorithms, including projection methods, splitting methods, primal-dual techniques, optimal control, Wasserstein barycenters, convexity analysis, and related areas. The volume also includes survey articles and contributions addressing emerging questions and open problems in optimization research. Reflecting the fruitful exchange between leading researchers and the next generation of applied scientists, these papers can be of interest to both researchers seeking new directions in optimization and practitioners interested in advanced mathematical tools for challenging applications. This volume is dedicated to Dr. Xianfu (Shawn) Wang on the occasion of his 60th birthday, in recognition of his significant contributions to variational analysis, convex analysis, and optimization.