Open Access Research

A fixed point theorem for cyclic generalized contractions in metric spaces

Maryam A Alghamdi1, Adrian Petruşel2 and Naseer Shahzad3*

Author Affiliations

1 Department of Mathematics, Sciences Faculty for Girls, King Abdulaziz University, P.O. Box 4087, Jeddah, 21491, Saudi Arabia

2 Department of Mathematics, Babeş-Bolyai University, Kogălniceanu Street No. 1, Cluj-Napoca, 400084, Romania

3 Department of Mathematics, King Abdulaziz University, P.O. Box 80203, Jeddah, 21859, Saudi Arabia

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Fixed Point Theory and Applications 2012, 2012:122 doi:10.1186/1687-1812-2012-122

Published: 23 July 2012

Abstract

In this paper, we extend a recent result of V. Pata (J. Fixed Point Theory Appl. 10:299-305, 2011) in the frame of a cyclic representation of a complete metric space.