Open AccessCyclic Contractions and Fixed Point Results via Control Functions on Partial Metric Spaces
Author(s) -
Hemant Kumar Nashine,
Zoran Kadelburg
Publication year - 2013
Publication title -
international journal of analysis
Language(s) - English
Resource type - Journals
eISSN - 2314-4998
pISSN - 2314-498X
DOI - 10.1155/2013/726387
Subject(s) - mathematics , fixed point , metric space , pure mathematics , fixed point theorem , contraction (grammar) , discrete mathematics , mathematical analysis , medicine
Cyclic weaker-type contraction conditions involving a generalized control function (with two variables) are used for mappings on 0-complete partial metric spaces to obtain fixed point results, thus generalizing several known results. Various examples are presented showing how the obtained theorems can be used and that they are proper extensions of the known ones.
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