Controlled Metric Type Spaces and the Related Contraction Principle

In this article, we introduce a new extension of b-metric spaces, called controlled metric type spaces, by employing a control function α ( x , y ) of the right-hand side of the b-triangle inequality. Namely, the triangle inequality in the new defined extension will have the form,...

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Bibliographic Details
Published in:Mathematics
Main Authors: Nabil Mlaiki, Hassen Aydi, Nizar Souayah, Thabet Abdeljawad
Format: Article
Language:English
Published: MDPI AG 2018-10-01
Subjects:
fixed point
controlled metric type space
extended b-metric space
Online Access:http://www.mdpi.com/2227-7390/6/10/194

Internet

http://www.mdpi.com/2227-7390/6/10/194

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