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Fixed Point Results for Generalized Contraction Mappings and Cyclical Mappings in b-Metric Spaces Endowed with a Digraph

Sushanta Kumar Mohanta

Sushanta Kumar Mohanta

Department of Mathematics, West Bengal State UniversityKolkata, India
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Mohanta, Sushanta Kumar
 and 
Deep Biswas

Deep Biswas

Department of Mathematics, West Bengal State UniversityKolkata, India
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Biswas, Deep
  
Dec 21, 2020
Fixed Point Results for Generalized Contraction Mappings and Cyclical Mappings in b-Metric Spaces Endowed with a Digraph's Cover Image
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Published Online: Dec 21, 2020
Page range: 86 - 102
DOI: https://doi.org/10.2478/awutm-2019-0017
Keywords
© 2019 Sushanta Kumar Mohanta et al., published by Sciendo
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

In this paper, we establish a fixed point theorem for generalized contraction mappings in b-metric spaces endowed with a digraph. As an application of this result, we obtain fixed points of cyclical mappings in the setting of b-metric spaces. Our results extend and generalize several existing results in the literature.

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