Coincidence Points of a Sequence of Multivalued Mappings in Metric Space with a Graph

Muhammad Nouman Aslam Khan, Akbar Azam and Nayyar Mehmood
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Muhammad Nouman Aslam Khan: School of Chemical and Materials Engineering, National University of Sciences and Technology, H-12, Islamabad 44000, Pakistan
Akbar Azam: Department of Mathematics, COMSATS Institute of Information Technology, Chak Shahzad, Islamabad 44000, Pakistan
Nayyar Mehmood: Department of Mathematics and Statistics, International Islamic University, H-10, Islamabad 44000, Pakistan

Mathematics, 2017, vol. 5, issue 2, 1-10

Abstract: In this article the coincidence points of a self map and a sequence of multivalued maps are found in the settings of complete metric space endowed with a graph. A novel result of Asrifa and Vetrivel is generalized and as an application we obtain an existence theorem for a special type of fractional integral equation. Moreover, we establish a result on the convergence of successive approximation of a system of Bernstein operators on a Banach space.

Keywords: graphic contraction; coincidence points; sequence of multivalued maps; Bernstein operators (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2017
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