Journal of Applied Mathematics
Volume 2012 (2012), Article ID 248937, 21 pages
http://dx.doi.org/10.1155/2012/248937
Research Article

Some New Common Fixed Point Theorems under Strict Contractive Conditions in G-Metric Spaces

Zead Mustafa

Department of Mathematics, The Hashemite University, P.O. Box 330127, Zarqa 13115, Jordan

Received 7 May 2012; Revised 24 June 2012; Accepted 2 August 2012

Academic Editor: Ya Ping Fang

Copyright © 2012 Zead Mustafa. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

We introduce some new types of pairs of mappings ( 𝑓 , 𝑔 ) on G-metric space called G-weakly commuting of type ( 𝐴 𝑓 ) and G-R-weakly commuting of type ( 𝐴 𝑓 ). We obtain also several common fixed point results for these mappings under certain contractive condition in G-metric space. Also some examples illustrated to support our results, and comparison between different types of pairs of mappings are studied.