Some fixed point theorems via combination of weak contraction and Caristi contractive mapping

Kushal Roy; Sayantan Panja; Mantu Saha; Zoran D. Mitrović

Published: 2021-04-13

Vol. 35 No. 2 (2021)

Some fixed point theorems via combination of weak contraction and Caristi contractive mapping

Kushal Roy , Sayantan Panja

, Mantu Saha , Zoran D. Mitrović

Abstract

In this paper we introduce some new types of contractive mappings by combining Caristi contraction, Ciric-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 '-diminishing property. Some examples are given in strengthening the hypothesis of our established theorems.

Keywords:

fixed point , metric space , orbital Banach–Caristi contractive map , weak Banach–Caristi contractive map , weak Ćirić–Caristi contractive map

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Roy, K., Panja, S., Saha, M., & Mitrović, Z. D. (2021). Some fixed point theorems via combination of weak contraction and Caristi contractive mapping. Annales Mathematicae Silesianae, 35(2), 289–391. Retrieved from https://journals.us.edu.pl/index.php/AMSIL/article/view/13454

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References

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Kushal Roy

Affiliation:

Department of Mathematics, The University of Burdwan, India India

Sayantan Panja

spanja1729@gmail.com
https://orcid.org/0000-0002-4404-131X

Affiliation:

Department of Mathematics, The University of Burdwan, India India

Mantu Saha

Affiliation:

Department of Mathematics, The University of Burdwan, India India

Zoran D. Mitrović

Affiliation:

University of Banja Luka, Faculty of Electrical Engineering, Bosnia and Herzegovina Bosnia and Herzegovina

Vol. 35 No. 2 (2021)
Published: 2021-09-10

ISSN: 0860-2107

eISSN: 2391-4238

10.1515/amsil

Publisher

University of Silesia Press

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