A. Aghanians
K.N. Toosi University of Technology
[ 1 ] - Fixed points for E-asymptotic contractions and Boyd-Wong type E-contractions in uniform spaces
In this paper we discuss on the fixed points of asymptotic contractions and Boyd-Wong type contractions in uniform spaces equipped with an E-distance. A new version ofKirk's fixed point theorem is given for asymptotic contractions and Boyd-Wong type contractions is investigated in uniform spaces.
[ 2 ] - Fixed points for Chatterjea contractions on a metric space with a graph
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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