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

被引：0
|
作者：
Khan, Muhammad Nouman Aslam [1 ,2 ]
Azam, Akbar [2 ]
Mehmood, Nayyar [3 ]
机构：
[1] Natl Univ Sci & Technol, Sch Chem & Mat Engn, H-12, Islamabad 44000, Pakistan
[2] COMSATS Inst Informat Technol, Dept Math, Islamabad 44000, Pakistan
[3] Int Islamic Univ, Dept Math & Stat, H-10, Islamabad 44000, Pakistan
来源：
MATHEMATICS | 2017年 / 5卷 / 02期
关键词：
graphic contraction; coincidence points; sequence of multivalued maps; Bernstein operators; CONTRACTION-MAPPINGS; FIXED-POINTS; THEOREMS; MAPS;
D O I：
10.3390/math5020030
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
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.
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页数：10
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