C*-algebra valued modular S-metric spaces with applications in fixed point theory

Dipankar Das; Vishnu Narayan Mishra; Lakshmi Narayan Mishra

doi:10.32513/tmj/19322008146

Abstract

In this paper, we introduce $C^*$ -algebra valued modular $S$ -metric spaces. Some common fixed point results for $S$ -weak operator pair on $C^*$ -algebra valued modular $S$ -metric spaces is given with suitable examples. Stability of the fixed point and application for a system of integral equations are also discussed here.

Acknowledgment

The authors express their sincere gratitude to referees for their valuable suggestions for the improvement of this paper.

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Dipankar Das. Vishnu Narayan Mishra. Lakshmi Narayan Mishra. " $C^*$ -algebra valued modular $S$ -metric spaces with applications in fixed point theory." Tbilisi Math. J. 14 (3) 111 - 126, August 2021. https://doi.org/10.32513/tmj/19322008146

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Received: 7 April 2021; Accepted: 20 April 2021; Published: August 2021

First available in Project Euclid: 3 September 2021

MathSciNet: MR4307902

zbMATH: 1490.54052

Digital Object Identifier: 10.32513/tmj/19322008146

Subjects:

Primary: 46L05

Secondary: 46A80 , 47H10

Keywords: C*-algebra valued metric spaces , C*-class functions , modular G-metric spaces

Abstract

Acknowledgment

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