In this work, we formulate Chatterjea contractions using graphs in metric spaces endowed with a graph and investigate the existence of fixed points for such mappings under two different hypotheses. We also discuss the uniqueness of the fixed point. The given result is a generalization of Chatterjea's fixed point theorem from metric spaces to metric spaces endowed with a graph.
Fallahi,K and Aghanians,A . (2016). Fixed points for Chatterjea contractions on a metric space with a graph. International Journal of Nonlinear Analysis and Applications, 7(2), 49-58. doi: 10.22075/ijnaa.2016.449
MLA
Fallahi,K , and Aghanians,A . "Fixed points for Chatterjea contractions on a metric space with a graph", International Journal of Nonlinear Analysis and Applications, 7, 2, 2016, 49-58. doi: 10.22075/ijnaa.2016.449
HARVARD
Fallahi K, Aghanians A. (2016). 'Fixed points for Chatterjea contractions on a metric space with a graph', International Journal of Nonlinear Analysis and Applications, 7(2), pp. 49-58. doi: 10.22075/ijnaa.2016.449
CHICAGO
K Fallahi and A Aghanians, "Fixed points for Chatterjea contractions on a metric space with a graph," International Journal of Nonlinear Analysis and Applications, 7 2 (2016): 49-58, doi: 10.22075/ijnaa.2016.449
VANCOUVER
Fallahi K, Aghanians A. Fixed points for Chatterjea contractions on a metric space with a graph. IJNAA. 2016;7(2):49-58. doi: 10.22075/ijnaa.2016.449
International Journal of Nonlinear Analysis and Applications