Fixed point results in generalized suprametric spaces

Abstract

Abstract We introduce the concept of generalized suprametric spaces, which subsumes some existing abstract metric spaces. Then, we show the existence of fixed points for maps satisfying nonlinear contractions involving either extended comparison or <m:math xmlns:m="http://www.w3.org/1998/Math/MathML"> <m:mi>ρ</m:mi> </m:math> \rho -subhomogeneous functions. This study was carried out in generalized suprametric spaces as well as partially ordered generalized suprametric spaces. Some related results in JS-metric spaces and in <m:math xmlns:m="http://www.w3.org/1998/Math/MathML"> <m:mi>b</m:mi> </m:math> b -suprametric spaces are improved or extended.

Topics & Concepts