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., 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
Kamal Fallahi; Aris 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
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
VANCOUVER
Fallahi, K., Aghanians, A. Fixed points for Chatterjea contractions on a metric space with a graph. International Journal of Nonlinear Analysis and Applications, 2016; 7(2): 49-58. doi: 10.22075/ijnaa.2016.449
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