Some Covariant and Contravariant Fixed Point Theorems over Bipolar p-Metric Spaces and Applications

Kushal Roy; Mantu Saha; Reny George; Liliana Guran; Zoran D. Mitrović

doi:10.2298/FIL2205755R

Some Covariant and Contravariant Fixed Point Theorems over Bipolar p-Metric Spaces and Applications

Kushal Roy
, Mantu Saha
, Reny George
, Liliana Guran
, Zoran D. Mitrović

Research output: Contribution to journal › Article › peer-review

7 Scopus citations

Abstract

In this article, the concept of bipolar p-metric spaces has been introduced as a generalization of usual metric spaces, b-metric spaces and also p-metric spaces. In view of this notion we prove Banach, Reich, Bianchini and Jaggi type fixed point theorems over such spaces. Supporting examples have been given in order to examine the validity of the underlying space and in support of our fixed point theorems.

Original language	English
Pages (from-to)	1755-1767
Number of pages	13
Journal	Filomat
Volume	36
Issue number	5
DOIs	https://doi.org/10.2298/FIL2205755R
State	Published - 2022
Externally published	Yes

Keywords

bipolar p-metric space
contravariant mapping
covariant mapping
fixed point

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10.2298/FIL2205755R

Cite this

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AB - In this article, the concept of bipolar p-metric spaces has been introduced as a generalization of usual metric spaces, b-metric spaces and also p-metric spaces. In view of this notion we prove Banach, Reich, Bianchini and Jaggi type fixed point theorems over such spaces. Supporting examples have been given in order to examine the validity of the underlying space and in support of our fixed point theorems.

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KW - contravariant mapping

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Some Covariant and Contravariant Fixed Point Theorems over Bipolar p-Metric Spaces and Applications

Abstract

Keywords

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