Some fixed point theorems for (ξ,α)-expansive mappings in complete bipolar metric spaces

In this paper, we will introduce the notion of (ξ,α)-expansive covariant and contravariant mappings in bipolar metric spaces. In addition, we prove some fixed point theorems for existence and uniqueness of fixed points for (ξ,α)-expansive covariant and contravariant mappings in complete bipolar metric space. At the end, we shall also provide some examples to support the theorems.

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Publication Details

Journal
Boletim da Sociedade Paranaense de Matemática
Published
2025-04-17
DOI
https://doi.org/10.5269/bspm.64434
Primary Topic
Fixed Point Theorems Analysis
Type
article
Field-Weighted Citation Impact
0.00
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article

Some fixed point theorems for (ξ,α)-expansive mappings in complete bipolar metric spaces

Manoj Kumar, Pankaj Pankaj
Boletim da Sociedade Paranaense de Matemática
Fixed Point Theorems Analysis
article

Some fixed point theorems for (ξ,α)-expansive mappings in complete bipolar metric spaces

Manoj Kumar, Pankaj Pankaj
article en

Abstract

In this paper, we will introduce the notion of (ξ,α)-expansive covariant and contravariant mappings in bipolar metric spaces. In addition, we prove some fixed point theorems for existence and uniqueness of fixed points for (ξ,α)-expansive covariant and contravariant mappings in complete bipolar metric space. At the end, we shall also provide some examples to support the theorems.

Boletim da Sociedade Paranaense de MatemáticaVol. 43
Maharishi Markandeshwar University, Mullana (IN), Baba Mastnath University (IN)
Openalex Percentile: Top 86%
Fixed Point Theorems Analysis
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