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On an open problem in rectangular b-metric space. (English) Zbl 06750546

Summary: In this paper an analogue of Banach contraction principle theorem is proved in rectangular b-metric spaces. Our results provide a complete solution to an open problem raised by George et al. (J. Nonlinear Sci. Appl. 8:1005-1013, 2015).

MSC:

47H10 Fixed-point theorems
55M20 Fixed points and coincidences in algebraic topology
Full Text: DOI

References:

[1] George, R., S. Radenovic, K.P. Reshma, and S. Shukla. 2015. Rectangular b-metric space and contraction principles. Journal of Nonlinear Sciences and Applications 8: 1005-1013. · Zbl 1398.54068
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