A topological characterization of the existence of fixed points and applications
Phan Quốc Khánh, Nguyen Hong Quan · Mathematische Nachrichten · 2013
We prove a topological two‐way characterization of the existence of fixed‐points, without using linear or convexity structures and provide applications in optimization‐related problems. Such a characterization is also demonstrated for a fixed‐component point, a slight generalization of a fixed point.