On Fixed Point Results in Controlled Metric Spaces
Jamshaid Ahmad, Abdullah Eqal Al-Mazrooei, Hassen Aydi, Manuel De la Sen
Abstract
In this article, we introduce Reich type contractions and ( <a:math xmlns:a="http://www.w3.org/1998/Math/MathML" id="M1"> <a:mi>α</a:mi> <a:mo>,</a:mo> <a:mi>F</a:mi> </a:math> )-contractions in the class of controlled metric spaces and establish some new related fixed point theorems. Our results are generalizations of some known results of literature. Some examples and certain consequences are given to illustrate significance of presented results.
Topics & Concepts
Metric spaceClass (philosophy)MathematicsFixed-point theoremFixed pointMetric (unit)Point (geometry)Type (biology)Discrete mathematicsPure mathematicsComputer scienceMathematical analysisGeometryArtificial intelligenceOperations managementEngineeringEcologyBiologyFixed Point Theorems Analysis