IJPAM: Volume 70, No. 7 (2011)

AN ITERETED FUNCTION SYSTEM FOR
COMMUTING MAPPING

S.C. Shrivastava$^1$, Padmavati$^2$
$^1$Department of mathematics
Rungta College Of Engineering and Technology
Rungta Educational Campus
Kohka Road, Kurud, Bhilai, 491024, C.G., INDIA
$^2$Department of Mathematics
Govt. V.Y.T. PG Autonomous College
Durg, 491001, C.G., INDIA


Abstract. With an open question - is it possible to compress one image containing the other and commuting with each other? We establish the College Theorem for iterated function system (key to image compression) for two such mappings under the contraction condition in the sense of Jungck [1].

Received: April 10, 2011

AMS Subject Classification: 28A80, 54H25

Key Words and Phrases: iterated function system, commuting mapping, compact set, contraction mapping, common fixed point

Download paper from here.



Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2011
Volume: 70
Issue: 7