Title of article :
A note on the Meir-Keeler theorem in the context of b-metric spaces
Author/Authors :
Pavlovic ، M.V. Department of Mathematics and Informatics - Faculty of Science - University of Kragujevac , Radenovic ، S.N. Mathematics Department - College of Science - King Saud University
Abstract :
In this note we consider the famous Meir-Keeler s theorem in the context of b-metric spaces. Our result generalizes, improves, compliments, unifies and enriches several known ones in the existing literature. Also, our proof of Meir-Keeler s theorem in the context of standard metric spaces is much shorter and nicer than the ones in (Ćirić, 2003) and (Meir Keeler, 1969, pp.326-329).
Keywords :
b , metric space , b , complete , b , Cauchy , Meir , Keeler conditions , Picard sequence ,
Journal title :
Military Technical Courier
Journal title :
Military Technical Courier