Best Proximity Point Results via Measure of Noncompactness and Application
Hemant Kumar Nashine, Reza Arab, Pradip Ramesh Patle, Deepesh Kumar Patel
Abstract
Best proximity results for cyclic and noncyclic FG-contractive operators in (strictly convex) Banach spaces are obtained via the measure of noncompactness. The work extends some of recent investigations in this direction. The obtained results are applied to investigation of optimum solutions for a system of second order differential equations with two initial conditions followed by an example.
Topics & Concepts
MathematicsMeasure (data warehouse)Banach spaceRegular polygonMathematical analysisOrder (exchange)Point (geometry)Work (physics)Applied mathematicsGeometryComputer scienceDatabaseEngineeringFinanceEconomicsMechanical engineeringFixed Point Theorems AnalysisNonlinear Differential Equations AnalysisContact Mechanics and Variational Inequalities