Wardowski and Ćirić type fixed point theorems over non-triangular metric spaces

Abstract

In this manuscript, we establish a fixed point theorem for F-Suzuki contraction mapping over a non-triangular metric space and also give a discussion as remarks on the non-triangular metric structure. Moreover we introduce non-triangular metric-like space and prove a fixed point theorem for Ćirić quasi-contraction mapping therein using the property S. Examples have been cited in order to examine the validity of the underlying space and in support of our fixed point theorems.