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A tripled fixed point technique for solving a tripled-system of integral equations and Markov process in CCbMS

Hasanen A. Hammad, Manuel De la Sen

2020Advances in Difference Equations24 citationsDOIOpen Access PDF

Abstract

Abstract We prove the existence of tripled fixed points (TFPs) of a new generalized nonlinear contraction mapping in complete cone b -metric spaces (CCbMSs). Also, we present some exciting consequences as corollaries and three nontrivial examples. Finally, we find a solution for a tripled-system of integral equations (TSIE) and discussed a unique stationary distribution for the Markov process (SDMP).

Topics & Concepts

MathematicsPartial differential equationFixed pointOrdinary differential equationMarkov chainIntegral equationFixed-point theoremMetric spaceNonlinear systemContraction (grammar)Markov processApplied mathematicsMathematical analysisDifferential equationMedicineInternal medicineQuantum mechanicsStatisticsPhysicsFixed Point Theorems AnalysisAdvanced Differential Geometry ResearchNonlinear Differential Equations Analysis