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ISSN: 1549-3644 (Print)
ISSN: 1558-6359 (Online)
Research Article Open Access

On Fixed Point Theorem of C Class Functions - B Weak Cyclic Mappings

Sahar Mohamed Ali Abou Bakr1 and Arslan Hojat Ansari2
  • 1 Ain Shams University, Egypt
  • 2 Islamic Azad University, Iran

Abstract

New B-𝔘-cyclic weak contraction C-class function concept has been introduced, B-𝔘-cyclic weak F-φ-Φ-contraction types of mapping are defined and the existence of fixed point for such types has been proved. These results mainly generalize fixed point theorems in some previous research papers.

Journal of Mathematics and Statistics
Volume 13 No. 4, 2017, 312-318

DOI: https://doi.org/10.3844/jmssp.2017.312.318

Submitted On: 16 April 2017 Published On: 3 October 2017

How to Cite: Abou Bakr, S. M. A. & Ansari, A. H. (2017). On Fixed Point Theorem of C Class Functions - B Weak Cyclic Mappings. Journal of Mathematics and Statistics, 13(4), 312-318. https://doi.org/10.3844/jmssp.2017.312.318

Open AccessCopyright: © 2017 Sahar Mohamed Ali Abou Bakr and Arslan Hojat Ansari. 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.

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Keywords

  • Analysis
  • Fixed Point Theorem
  • Cyclic Weak Contraction Types of Mappings
  • Fixed Points
  • MSC: 46, 4705, 47H09, 47H10