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Fixed Point Theorems in Complex Valued Extended b-Metric Spaces

Naimat Ullah

Naimat Ullah

Department of Mathematics, COMSATS UniversityIslamabad, Pakistan
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Ullah, Naimat
, 
Mohammed Shehu Shagari

Mohammed Shehu Shagari

Department of Mathematics, Faculty of Physical Sciences, Ahmadu Bello UniversityNigeria
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Shagari, Mohammed Shehu
 and 
Akbar Azam

Akbar Azam

Department of Mathematics, COMSATS UniversityIslamabad, Pakistan
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Azam, Akbar
  
Jan 24, 2020
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Published Online: Jan 24, 2020
Page range: 140 - 163
Received: Jul 25, 2019
Accepted: Oct 18, 2019
DOI: https://doi.org/10.2478/mjpaa-2019-0011
Keywords
© 2019 Naimat Ullah et al., published by Sciendo
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

In this article, inspired by the concepts of extended b-metric spaces, we introduce the notion of complex valued extended b-metric spaces. Using this new idea, some fixed point theorems involving rational contractive inequalities are proved. The established results herein augment several significant work in the comparable literature.

Language:
English
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3 times per year
Journal Subjects:
Mathematics, Analysis, Differential Equations and Dynamical Systems, Probability and Statistics, Numerical and Computational Mathematics
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