Gui Seok Kim, Kyung Bok Lee, and Jong Suh Park Hoseo University, Hoseo University, Chungnam National University
* Retracted due to plagiarism
Abstract : In this paper, we will study the characterizations of attractors and Lyapunov function which were studied in flows and homeomorphisms will also be satisfied in compact closed relation dynamics. In particular, we will find the necessary and sufficient conditions of the existence of the strict Lyapunov function.
Keywords : closed relation, attractors, Lyapunov function