This book brings together research articles and state-of-the-art surveys in broad areas of optimization and numerical analysis
with particular emphasis on algorithms. The discussion also focuses on advances in monotone operator theory and other topics
from variational analysis and nonsmooth optimization, especially as they pertain to algorithms and concrete, implementable
methods. The theory of monotone operators is a central framework for understanding and analyzing splitting algorithms. Topics
discussed in the volume were presented at the interdisciplinary workshop titled Splitting Algorithms, Modern Operator Theory,
and Applications held in Oaxaca, Mexico in September, 2017. Dedicated to Jonathan M. Borwein, one of the most versatile mathematicians
in contemporary history, this compilation brings theory together with applications in novel and insightful ways.