Abstract
In this note, we discuss the definition of the multivalued weak contraction mappings defined in a metric space endowed with a graph as introduced by Hanjing and Suantai[A. Hanjing, S. Suantai, Fixed Point Theory Appl., 2015 (2015), 10 pages]. In particular, we show that this definition is not correct and give the correct definition of the multivalued weak contraction mappings defined in a metric space endowed with a graph. Then we prove the existence of coincidence points for such mappings.
| Original language | English |
|---|---|
| Pages (from-to) | 4098-4103 |
| Number of pages | 6 |
| Journal | Journal of Nonlinear Science and Applications |
| Volume | 9 |
| Issue number | 6 |
| DOIs | |
| State | Published - 2016 |
Bibliographical note
Publisher Copyright:© 2016 All rights reserved.
Keywords
- Coincidence points
- Directed graph
- Reich multivalued mapping
- Weak G-contraction mappings
ASJC Scopus subject areas
- Analysis
- Algebra and Number Theory
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