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June 2018 An application of Perov type results in gauge spaces
Lakshmi Narayan Mishra, Animesh Gupta, Vandana
Tbilisi Math. J. 11(2): 139-151 (June 2018). DOI: 10.32513/tbilisi/1530842676

Abstract

In this paper we present Perov type fixed point theorems for contractive mappings in Gheorghiu’s sense on spaces endowed with a family of vector valued pseudo-metrics. Applications to systems of integral equations are given to illustrate the theory. The examples also prove the advantage of using vector valued pseudo-metrics and matrices that are convergent to zero, for the study of systems of equations.

Acknowledgment

The author would like to thank the editor and the referees for their valuable suggestions for improving the article.

Citation

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Lakshmi Narayan Mishra. Animesh Gupta. Vandana. "An application of Perov type results in gauge spaces." Tbilisi Math. J. 11 (2) 139 - 151, June 2018. https://doi.org/10.32513/tbilisi/1530842676

Information

Received: 2 February 2017; Accepted: 30 March 2018; Published: June 2018
First available in Project Euclid: 6 July 2018

zbMATH: 07172270
MathSciNet: MR3954189
Digital Object Identifier: 10.32513/tbilisi/1530842676

Subjects:
Primary: 45G15, 47H10
Secondary: 47J05

Rights: Copyright © 2018 Tbilisi Centre for Mathematical Sciences

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Vol.11 • No. 2 • June 2018
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