Fixed point results in generalized suprametric spaces

Author:

Berzig Maher1

Affiliation:

1. Département de Mathématiques, Université de Tunis, École Nationale Supérieure d’Ingénieurs de Tunis , 5 avenue Taha Hussein Montfleury , 1008 Tunis , Tunisia

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 ρ \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 b b -suprametric spaces are improved or extended.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,Geometry and Topology,Algebra and Number Theory

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