Quadruple fixed point theorems for nonlinear contractions

The notion of coupled fixed point is introduced by Gnana-Bhaskar and Lakshmikantham. Very recently, the concept of tripled fixed point was introduced by Berinde and Borcut. In this manuscript, a quadruple fixed point is considered and some new related fixed point theorems are obtained. We also give...

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Bibliographic Details
Published in:Computers & mathematics with applications (1987) 2012-09, Vol.64 (6), p.1839-1848
Main Authors: Karapınar, Erdal, Luong, Nguyen Van
Format: Article
Language:English
Subjects:
Fixed point theorems
Fixed points (mathematics)
Mathematical models
Nonlinear contraction
Nonlinearity
Partially ordered
Quadruple fixed point
Theorems
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Summary:The notion of coupled fixed point is introduced by Gnana-Bhaskar and Lakshmikantham. Very recently, the concept of tripled fixed point was introduced by Berinde and Borcut. In this manuscript, a quadruple fixed point is considered and some new related fixed point theorems are obtained. We also give some examples to illustrate our results.
ISSN:0898-1221
1873-7668
DOI:10.1016/j.camwa.2012.02.061