Some New Common Fixed Point Theorems under Strict Contractive Conditions in G-Metric SpacesReport as inadecuate




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Journal of Applied MathematicsVolume 2012 2012, Article ID 248937, 21 pages

Research ArticleDepartment 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 mappings𝑓,𝑔 on G-metric space called G-weakly commuting of type 𝐴𝑓 and G-R-weaklycommuting of type 𝐴𝑓. We obtain also several common fixed pointresults for these mappings under certain contractive condition in G-metricspace. Also some examples illustrated to support our results, and comparisonbetween different types of pairs of mappings are studied.





Author: Zead Mustafa

Source: https://www.hindawi.com/



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