Best proximity point theorems for cyclic p-contractions with some consequences and applications
Mustafa Aslantaş, Hakan Şahin, İshak Altun
Abstract
In this paper, we introduce the concept of cyclic p-contraction pair for single-valued mappings. Then we present some best proximity point results for such mappings defined on proximally complete pair of subsets of a metric space. Also, we provide some illustrative examples that compared our results with some earliest. Finally, by taking into account a fixed point consequence of our main result we give an existence and uniqueness result for a common solution of a system of second order boundary value problems.
Topics & Concepts
UniquenessMathematicsContraction (grammar)Complete metric spaceMetric spacePoint (geometry)Fixed-point theoremPure mathematicsFixed pointContraction mappingSpace (punctuation)Discrete mathematicsMathematical analysisComputer scienceGeometryInternal medicineMedicineOperating systemFixed Point Theorems Analysis