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Some Fixed Point Theorems Via Combination of Weak Contraction and Caristi Contractive Mapping

Kushal Roy

Kushal Roy

Department of Mathematics, The University of BurdwanIndia
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Roy, Kushal
, 
Sayantan Panja

Sayantan Panja

Department of Mathematics, The University of BurdwanIndia
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Panja, Sayantan
, 
Mantu Saha

Mantu Saha

Department of Mathematics, The University of BurdwanIndia
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Saha, Mantu
 and 
Zoran D. Mitrović

Zoran D. Mitrović

University of Banja Luka, Faculty of Electrical EngineeringBosnia and Herzegovina
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Mitrović, Zoran D.
  
Apr 13, 2021
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Published Online: Apr 13, 2021
Page range: 289 - 301
Received: Jun 14, 2020
Accepted: Mar 11, 2021
DOI: https://doi.org/10.2478/amsil-2021-0003
Keywords
© 2021 Kushal Roy et al., published by Sciendo
This work is licensed under the Creative Commons Attribution 4.0 International License.

In this paper we introduce some new types of contractive mappings by combining Caristi contraction, Ćirić-quasi contraction and weak contraction in the framework of a metric space. We prove some fixed point theorems for such type of mappings over complete metric spaces with the help of φ-diminishing property. Some examples are given in strengthening the hypothesis of our established theorems.

Language:
English
Publication timeframe:
2 times per year
Journal Subjects:
Mathematics, General Mathematics
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