Complex valued rectangular b-metric spaces and an application to linear equations

Volume 8, Issue 6, pp 1014--1021 http://dx.doi.org/10.22436/jnsa.008.06.12

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Authors

Ozgur Ege - Department of Mathematics, Celal Bayar University, Muradiye, 45140, Manisa, Turkey.

Abstract

In this paper, we introduce complex valued rectangular b-metric spaces. We prove an analogue of Banach contraction principle. We also prove a different contraction principle with a new condition and a fixed point theorem in this space. Finally, we give an application of Banach contraction principle to linear equations.

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Keywords

• Fixed point
• Banach contraction principle
• rectangular b-metric space.

MSC

•  47H10
•  54E35
•  54H25

References

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