Common coupled fixed point theorems for $$w^*$$ -compatible mappings without mixed monotone property

2012 ◽  
Vol 61 (3) ◽  
pp. 361-383 ◽  
Author(s):  
Wutiphol Sintunavarat ◽  
Adrian Petruşel ◽  
Poom Kumam
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorems ◽  
Coupled Fixed Point ◽  
Compatible Mappings ◽  
Mixed Monotone Property ◽  
Common Coupled Fixed Point ◽  
Monotone Property

scholarly journals Coupled Fixed Point Theorems for Weak Contraction Mappings underF-Invariant Set

2012 ◽  
Vol 2012 ◽  
pp. 1-15 ◽  
Author(s):  
Wutiphol Sintunavarat ◽  
Yeol Je Cho ◽  
Poom Kumam
Keyword(s):  
Fixed Point ◽  
Contraction Mapping ◽  
Fixed Point Theorems ◽  
Coupled Fixed Point ◽  
Invariant Set ◽  
Mixed Monotone Property ◽  
Weak Contraction ◽  
Contraction Mappings ◽  
Monotone Property ◽  
Nonlinear Contraction

We extend the recent results of the coupled fixed point theorems of Cho et al. (2012) by weakening the concept of the mixed monotone property. We also give some examples of a nonlinear contraction mapping, which is not applied to the existence of the coupled fixed point by the results of Cho et al. but can be applied to our results. The main results extend and unify the results of Cho et al. and many results of the coupled fixed point theorems.

scholarly journals F-closed sets and coupled fixed point theorems without the mixed monotone property

2013 ◽  
Vol 2013 (1) ◽  
pp. 330 ◽  
Author(s):  
Marwan Kutbi ◽  
Antonio Roldán ◽  
Wutiphol Sintunavarat ◽  
Juan Martínez-Moreno ◽  
Concepción Roldán
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorems ◽  
Coupled Fixed Point ◽  
Mixed Monotone Property ◽  
Monotone Property ◽  
Closed Sets

scholarly journals Common coupled fixed point theorems for two pairs of weakly compatible mappings in Menger metric spaces

2019 ◽  
Vol 5 (2) ◽  
pp. 197-221
Author(s):  
Abdelkrim Abdelhalim ◽  
Abdelkrim Aliouche ◽  
Leila Ben Aoua ◽  
Oussaeif Taki-Eddine
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Coupled Fixed Point ◽  
Weakly Compatible Mappings ◽  
Compatible Mappings ◽  
Common Coupled Fixed Point ◽  
Contractive Mappings ◽  
Weakly Compatible ◽  
Common Fixed Point Theorems

AbstractIn this paper, we prove some common coupled fixed point theorems for contractive mappings in Menger metric spaces under geometrically convergent t-norms. Also, we prove common fixed point theorems for pairs of weakly compatible mappings, which generalize the results of Jian-Zhong Xiao and al (2011). The main results is supported by a suitable examples.

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