BEST PROXIMITY POINTS FOR MULTIVALUED MAPPINGS AND EQUATION OF MOTION
Muhammad Younis, H. Ahmad, Wajeeha Shahid
Abstract
In this manuscript, we compute coincidence point, best proximity point, and fixed point results for multivalued proximal contractions in the setup of $ b-$metric spaces using an alternating distance function. Moreover, we show the corresponding results for single-valued mappings can also be obtained using generalized proximal contractions. To validate our study, examples are given for both multivalued and single-valued mappings that strengthen our main results based on coincidence points. In the end, we apply the obtained result to show the existence of the solution of a particular type of second-order boundary value problem describing the equation of motion.
Topics & Concepts
CoincidenceMathematicsCoincidence pointMathematical analysisFunction (biology)Motion (physics)Point (geometry)Fixed pointMetric spaceBoundary (topology)GeometryComputer scienceEvolutionary biologyAlternative medicinePathologyMedicineArtificial intelligenceBiologyFixed Point Theorems Analysis