Next Article in Journal
Nonlinear Gronwall–Bellman Type Inequalities and Their Applications
Previous Article in Journal
Emergence of an Aperiodic Dirichlet Space from the Tetrahedral Units of an Icosahedral Internal Space
Article Menu

Export Article

Open AccessArticle
Mathematics 2017, 5(2), 30; doi:10.3390/math5020030

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

1
School of Chemical and Materials Engineering, National University of Sciences and Technology, H-12, Islamabad 44000, Pakistan
2
Department of Mathematics, COMSATS Institute of Information Technology, Chak Shahzad, Islamabad 44000, Pakistan
3
Department of Mathematics and Statistics, International Islamic University, H-10, Islamabad 44000, Pakistan
These authors contributed equally to this work.
*
Author to whom correspondence should be addressed.
Received: 24 March 2017 / Revised: 7 May 2017 / Accepted: 22 May 2017 / Published: 26 May 2017
View Full-Text   |   Download PDF [248 KB, uploaded 31 May 2017]

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. View Full-Text
Keywords: graphic contraction; coincidence points; sequence of multivalued maps; Bernstein operators graphic contraction; coincidence points; sequence of multivalued maps; Bernstein operators
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).

Scifeed alert for new publications

Never miss any articles matching your research from any publisher
  • Get alerts for new papers matching your research
  • Find out the new papers from selected authors
  • Updated daily for 49'000+ journals and 6000+ publishers
  • Define your Scifeed now

SciFeed Share & Cite This Article

MDPI and ACS Style

Khan, M.N.A.; Azam, A.; Mehmood, N. Coincidence Points of a Sequence of Multivalued Mappings in Metric Space with a Graph. Mathematics 2017, 5, 30.

Show more citation formats Show less citations formats

Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.

Related Articles

Article Metrics

Article Access Statistics

1

Comments

[Return to top]
Mathematics EISSN 2227-7390 Published by MDPI AG, Basel, Switzerland RSS E-Mail Table of Contents Alert
Back to Top