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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
 e 
Zoran D. Mitrović

Zoran D. Mitrović

University of Banja Luka, Faculty of Electrical EngineeringBosnia and Herzegovina
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Mitrović, Zoran D.
  
13 apr 2021
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Pubblicato online: 13 apr 2021
Pagine: 289 - 301
Ricevuto: 14 giu 2020
Accettato: 11 mar 2021
DOI: https://doi.org/10.2478/amsil-2021-0003
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© 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.

Lingua:
Inglese
Frequenza di pubblicazione:
2 volte all'anno
Argomenti della rivista:
Matematica, Matematica generale
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