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A New Fixed Point Theorem With A Two-argument Mapping

Posted on:2020-06-06Degree:MasterType:Thesis
Country:ChinaCandidate:S LinFull Text:PDF
GTID:2370330572999012Subject:Applied Mathematics
Abstract/Summary:
In this paper,we prove some fixed point theorems in metric spaces and b-metric spaces for a class of discontinuous two-argument operators,which map X x X into X.Applying a new inductive inequality(Lemma3.2.3),we prove the existence and uniqueness of fixed point for such mappings.An example is finally given to show the corre.ctness of the results.
Keywords/Search Tags:Fixed point, complete metric space, b-metric spaces, Kannan mapping
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