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New Fixed Point Theorem on Extended b-Metric Space Using a Class of Contraction Mappings

Krishna Bhattacharjee

Krishna Bhattacharjee

Department of Mathematics, Faculty of Science & Technology, The ICFAI University West TripuraAgartala, India
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Bhattacharjee, Krishna
, 
Rakhal Das

Rakhal Das

Department of Mathematics, Faculty of Science & Technology, The ICFAI University West TripuraAgartala, India
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Das, Rakhal
 and 
Ajoy Kanti Das

Ajoy Kanti Das

Department of Mathematics, Faculty of Science & Technology, The ICFAI University West TripuraAgartala, India
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Das, Ajoy Kanti
  
Jun 24, 2025
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Published Online: Jun 24, 2025
Received: Apr 27, 2024
Accepted: Oct 11, 2024
DOI: https://doi.org/10.2478/tmmp-2025-0003
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© 2025 Krishna Bhattacharjee et al., published by Sciendo
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

The main purpose of this paper is to investigate a fixed point for a class of contractive maps over a complete extended b-metric space. In this article, we used the Bianchini-type contraction and BK-type contractive mapping to find new results in the direction of a complete extended b-metric space. To illustrate our results, we give several examples.

Language:
English
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3 times per year
Journal Subjects:
Mathematics, General Mathematics
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