In this article, we give some new examples of rectangular $b$-metric spaces which are neither rectangular metric space nor metric space. After that we prove existence and uniqueness of new fixed points for some new contractions in rectangular $b$-metric spaces. Then we validate these results with suitable, appropriate and innovative examples.
Keywords and Phrases
Rectangular $b$-metric space, rectangular metric space, $b$-metric space, fixed point, contraction mapping.
A.M.S. subject classiﬁcation