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:
international journal of nonlinear analysis and applicationsجلد ۷، شماره ۲، صفحات ۴۹-۵۸
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