IJPAM: Volume 94, No. 1 (2014)
A ĆIRIĆ-REICH-RUS PAIR OF MAPPINGS
IN METRIC SPACES WITH A DIRECTED GRAPH
Department of Mathematics
Faculty of Science
Khon Kaen University
Khon Kaen, 40002, THAILAND
The Centre of Excellence in Mathematics
Commission on Higher Education (CHE)
Sri Ayudthaya Road, Bangkok, 10400, THAILAND
Abstract. Let be a complete metric space with a directed graph . Inspired by the work of Bojor, we introduce a new contractive type condition between a pair of mappings with respect to . In particular, if , we obtain the result of Bojor. Moreover, we also establish a result under an independent hypothesis.
An example showing that it is applicable in our setting but not in Bojor's is given.
Received: October 21, 2013
AMS Subject Classification: 47H10, 54H25, 55M20
Key Words and Phrases: fixed point, Ćirić-Reich-Rus mapping, metric space with a directed graph
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DOI: 10.12732/ijpam.v94i1.5 How to cite this paper?
Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Pages: 45 - 53
This work is licensed under the Creative Commons Attribution International License (CC BY).