Open AccessTripled Coincidence Point Theorems for Nonlinear Contractions in Partially Ordered Metric Spaces
Author(s) -
Binayak S. Choudhury,
Erdal Karapınar,
Amaresh Kundu
Publication year - 2012
Publication title -
international journal of mathematics and mathematical sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 39
eISSN - 1687-0425
pISSN - 0161-1712
DOI - 10.1155/2012/329298
Subject(s) - mathematics , coincidence point , coincidence , fixed point theorem , metric space , extension (predicate logic) , pure mathematics , point (geometry) , fixed point , nonlinear system , metric (unit) , fixed point property , brouwer fixed point theorem , discrete mathematics , mathematical analysis , geometry , medicine , operations management , physics , alternative medicine , pathology , quantum mechanics , computer science , economics , programming language
Tripled fixed points are extensions of the idea of coupled fixed points introduced in a recent paper by Berinde and Borcut, 2011. Here using a separate methodology we extend this result to a triple coincidence point theorem in partially ordered metric spaces. We have defined several concepts pertaining to our results. The main results have several corollaries and an illustrative example. The example shows that the extension proved here is actual and also the main theorem properly contains all its corollaries
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