Coupled fixed point theorems on C⋆-algebra valued bipolar metric spaces

In the present paper, we introduce the notion of a $ \mathcal{C}^{\star} $-algebra valued bipolar metric space and prove coupled fixed point theorems. Some of the well-known outcomes in the literature are generalized and expanded by the results shown. An example and application to support our result...

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Bibliographic Details
Published inAIMS mathematics Vol. 7; no. 5; pp. 7552 - 7568
Main Authors Gunaseelan Mani, Arul Joseph Gnanaprakasam, Absar Ul Haq, Imran Abbas Baloch, Fahd Jarad
Format Journal Article
LanguageEnglish
Published AIMS Press 01.01.2022
Subjects
coupled fixed point
c⋆-algebra
c⋆-algebra valued bipolar metric space
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Summary:In the present paper, we introduce the notion of a $ \mathcal{C}^{\star} $-algebra valued bipolar metric space and prove coupled fixed point theorems. Some of the well-known outcomes in the literature are generalized and expanded by the results shown. An example and application to support our result is presented.
ISSN:2473-6988
DOI:10.3934/math.2022424