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

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

doi:10.2478/amsil-2021-0003

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

Annales Mathematicae Silesianae

Volume 35 (2021): Issue 2 (September 2021)

By: Kushal Roy, Sayantan Panja, Mantu Saha and Zoran D. Mitrović

Open Access

|Apr 2021

Abstract

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.

References

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DOI: https://doi.org/10.2478/amsil-2021-0003 | Journal eISSN: 2391-4238 | Journal ISSN: 0860-2107

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Language: English

Page range: 289 - 301

Submitted on: Jun 14, 2020

Accepted on: Mar 11, 2021

Published on: Apr 13, 2021

Published by: University of Silesia in Katowice, Institute of Mathematics

In partnership with: Paradigm Publishing Services

Publication frequency: 2 issues per year

Keywords:

fixed point,

metric space,

orbital Banach–Caristi contractive map,

weak Banach–Caristi contractive map,

weak Ciric–Caristi contractive map

Related subjects:

Mathematics,

General mathematics

© 2021 Kushal Roy, Sayantan Panja, Mantu Saha, Zoran D. Mitrović, published by University of Silesia in Katowice, Institute of Mathematics
This work is licensed under the Creative Commons Attribution 4.0 License.

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