alexa Fixed Point Theory for Three φ–Weak C
ISSN: 2168-9679

Journal of Applied & Computational Mathematics
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Research Article

Fixed Point Theory for Three φ–Weak Contraction Functions

Faried N, Abd El Ghaffar H* and Hamdy S

Department of Mathematics, Faculty of Science, Ain Shams University, Cairo, Egypt

*Corresponding Author:
Abd El Ghaffar H
Department of Mathematics, Faculty of Science
Ain Shams University, Cairo, Egypt
Tel: +20 2 26831474
[email protected]

Received date: January 24, 2017; Accepted date: February 21, 2017; Published date: February 27, 2017

Citation: Faried N, Abd El Ghaffar H, Hamdy S (2017) Fixed Point Theory for Three φ–Weak Contraction Functions. J Appl Computat Math 6:338. doi: 10.4172/2168-9679.1000338

Copyright: © 2017 Faried N, et al. This is an open-access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.



In 2009 Qingnian Zhang and Yisheng Song proved fixed point theory for two φ–weak contraction functions. We generalize this result by finding fixed point and coincidence point for three single-valued φ–weak contraction T1, T2, T3 defined on a complete metric space.


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