On Istrăţescu Type Contractions in b-Metric Spaces
Erdal Karapınar, Andreea Fulga, Adrian Petruşel
Abstract
In this paper, we introduce the notions of α -almost Istrăt̨escu contraction of type E and of type E ∗ in the setting of b-metric space. The existence of fixed points for such mappings is investigated and some examples to illustrate the validity of the main results are considered. In the last part of the paper, we list some immediate consequences.
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Metric spaceType (biology)MathematicsContraction (grammar)Pure mathematicsSpace (punctuation)Metric (unit)Discrete mathematicsMathematical analysisComputer scienceLinguisticsEngineeringOperations managementPhilosophyOperating systemEcologyBiologyFixed Point Theorems AnalysisOptimization and Variational Analysis