On Fixed Point Theorem of C Class Functions - B Weak Cyclic Mappings
- 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.
DOI: https://doi.org/10.3844/jmssp.2017.312.318
Copyright: © 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