On surrounding quasi-contractions on non-triangular metric spaces

Abstract

The aim of this paper is to establish some fixed point results for surrounding quasi-contractions in non-triangular metric spaces. Also, we prove the Banach principle of contraction in non-triangular metric spaces. As applications of our theorems, we deduce certain well-known results in b-metric spaces as corollaries.

Keywords

• non-triangular metric spaces
• quasi-contraction
• b-metric spaces
• 47h10
• 54h25