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,...

Full description

Bibliographic Details
Main Authors: Nabil Mlaiki, Hassen Aydi, Nizar Souayah, Thabet Abdeljawad
Format: Article
Language:English
Published: MDPI AG 2018-10-01
Series:Mathematics
Subjects:
Online Access:http://www.mdpi.com/2227-7390/6/10/194