Many real-world problems can be formulated into nonlinear problems, such as image processing, machine learning, signal recovery, pattern recognition, and so on. These challenging problems are increasingly difficult to construct, compute and verify.

Therefore, there has been a lot of interest in studying these problems because of their numerous applications. The development of systematic methods, which are efficient and reliable designs of the hybrid system, is highly demanded and the key to analyzing nonlinear systems. Fixed point theory is a very strong mathematical tool to establish the existence and uniqueness of almost all problems modeled by nonlinear relations. In addition, stability criteria raise important questions about whether their various properties are stable; an unstable system is typically useless and potentially dangerous.

This Special Issue aims to cover all aspects of current research work on nonlinear hybrid systems and their applications. Papers are invited from those who work in nonlinear analysis or areas in which nonlinear analysis is usually applied. There has been a great deal of interest in applications to the area of nonlinear hybrid systems and related areas. We welcome both original research and review articles.

Potential topics include but are not limited to the following:

• Fixed point theory and applications
• Optimization based on nonlinear operators
• Nonlinear problems with fixed point theory approaches
• Best proximity points
• Controllability problems for nonlinear systems
• Stability theory and applications
• Delay differential equations
• Models with delays in biology, economics, and engineering
• Dynamical systems
• Complex dynamical networks
• Synchronization