Abstract
We present the random version of the classical Banach contraction principle and some of its generalizations to ordered metric spaces or in metric spaces endowed with a graph.
Funding statement: The work of Juan J. Nieto and R. Rodríguez-López has been partially supported by the Agencia Estatal de Investigación (AEI) of Spain under Grant MTM2016- 75140-P and co-financed by European Community fund FEDER, and XUNTA de Galicia under grants GRC2015-004 and R2016/022.
Acknowledgements
This paper was completed while A. Ouahab visited the Department of Mathematical Analysis of the University of Santiago de Compostela.
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