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Open AccessArticle

Some Fixed Point Results in b-Metric Spaces and b-Metric-Like Spaces with New Contractive Mappings

School of Mathematics, Thapar Institute of Engineering and Technology, Patiala 147001, India
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Author to whom correspondence should be addressed.
Academic Editor: Wei-Shih Du
Axioms 2021, 10(2), 55; https://doi.org/10.3390/axioms10020055
Received: 27 February 2021 / Revised: 26 March 2021 / Accepted: 5 April 2021 / Published: 7 April 2021
(This article belongs to the Special Issue Theory and Application of Fixed Point)
The aim of our paper is to present a new class of functions and to define some new contractive mappings in b-metric spaces. We establish some fixed point results for these new contractive mappings in b-metric spaces. Furthermore, we extend our main result in the framework of b-metric-like spaces. Some consequences of main results are also deduced. We present some examples to illustrate and support our results. We provide an application to solve simultaneous linear equations. In addition, we present some open problems. View Full-Text
Keywords: b-metric space; b-metric-like spaces; Cauchy sequence; fixed point b-metric space; b-metric-like spaces; Cauchy sequence; fixed point
MDPI and ACS Style

Jain, K.; Kaur, J. Some Fixed Point Results in b-Metric Spaces and b-Metric-Like Spaces with New Contractive Mappings. Axioms 2021, 10, 55. https://doi.org/10.3390/axioms10020055

AMA Style

Jain K, Kaur J. Some Fixed Point Results in b-Metric Spaces and b-Metric-Like Spaces with New Contractive Mappings. Axioms. 2021; 10(2):55. https://doi.org/10.3390/axioms10020055

Chicago/Turabian Style

Jain, Kapil; Kaur, Jatinderdeep. 2021. "Some Fixed Point Results in b-Metric Spaces and b-Metric-Like Spaces with New Contractive Mappings" Axioms 10, no. 2: 55. https://doi.org/10.3390/axioms10020055

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