IJPAM: Volume 64, No. 1 (2010)



Bengal Engineering and Science University
Shibpur, Howrah, 711103, West Bengal, INDIA


Abstract.Let be a continuous real valued function defined over the real line. If
has a periodic point of least period
, the existence of any other periodic point of least period
different from
is completely discovered by Russian mathematician Alexander Nikolaevich Sharkovskii. In this paper we have proved Sharkovskii's Theorems in a very simple way. In the last section we have discussed some important consequences and generalization of these theorems.
Received: August 8, 2010
AMS Subject Classification: 37E05, 37D45, 37C25
Key Words and Phrases: Sharkovskii's Theorem, Sharkovskii ordering, fixed point, periodic point
Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2010
Volume: 64
Issue: 1