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Fixed Point Theorem for Cyclic (μ, ψ, φ)-Weakly Contractions via a New Function

Muaadh Almahalebi

Muaadh Almahalebi

Department of Mathematics, Ibn Tofail UniversityKenitra, Morocco
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Almahalebi, Muaadh
, 
Amir Hojat Ansari

Amir Hojat Ansari

Department of Mathematics, Karaj Branch, Islamic Azad UniversityKaraj,
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Ansari, Amir Hojat
 and 
Sumit Chandok

Sumit Chandok

School of Mathematics, Thapar UniversityPatiala, India
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Chandok, Sumit
  
Dec 29, 2017
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Published Online: Dec 29, 2017
Page range: 3 - 15
Received: Apr 11, 2015
Accepted: Sep 24, 2017
DOI: https://doi.org/10.1515/awutm-2017-0011
Keywords
© 2017 Muaadh Almahalebi et al., published by De Gruyter Open
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

In this paper, we introduce a generalization of cyclic (μ, ψ, φ)-weakly contraction via a new function and derive the existence of fixed point for such mappings in the setup of complete metric spaces. Our results extend and improve some fixed point theorems in the literature.

Language:
English
Publication timeframe:
Volume Open
Journal Subjects:
Mathematics, General Mathematics
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