Fixed points for Chatterjea contractions on a metric space with a graph
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Abstract:
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.
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Journal title
volume 7 issue 2
pages 49- 58
publication date 2016-05-05
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