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. https://doi.org/10.22075/ijnaa.2016.449
MLA
Fallahi, K., & 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
Fallahi, K. & 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
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