IJPAM: Volume 82, No. 2 (2013)

A FIXED POINT RESULT FOR
WEAKLY KANNAN TYPE CYCLIC CONTRACTIONS

Sumit Chandok
Department of Mathematics
Khalsa College of Engineering and Technology
Punjab Technical University
Ranjit Avenue, Amritsar, 143001, INDIA


Abstract. In this article, we introduce the notion of Kannan type cyclic weakly contraction and derive the existence of fixed point for such mappings in the setup of complete metric spaces. Our result extend and improve some fixed point theorems in the literature.

Received: October 28, 2012

AMS Subject Classification: 41A50, 47H10, 54H25

Key Words and Phrases: fixed point, cyclic contraction mappings

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Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2013
Volume: 82
Issue: 2