scholarly journals Retraction Note: Coupled fixed point theorems without continuity and mixed monotone property

2014 ◽  
Vol 2014 (1) ◽  
Author(s):  
Ramesh Kumar Vats ◽  
Vizender Sihag ◽  
Yeol Je Cho
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorems ◽  
Coupled Fixed Point ◽  
Mixed Monotone Property ◽  
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 Related Results to Hybrid Pair of Mappings and Applications in Bipolar Metric Spaces

2019 ◽  
Vol 2019 ◽  
pp. 1-7
Author(s):  
G. N. V. Kishore ◽  
K. P. R. Rao ◽  
A. Sombabu ◽  
R. V. N. S. Rao
Keyword(s):  
Fixed Point ◽  
Metric Spaces ◽  
Coupled Fixed Point ◽  
Contractive Mapping ◽  
Mixed Monotone Property ◽  
Contraction Mappings ◽  
Monotone Property ◽  
Partially Ordered ◽  
Multivalued Contraction ◽  
Hybrid Pair

In this paper, we introduce the concept of multivalued contraction mappings in partially ordered bipolar metric spaces and establish the existence of unique coupled fixed point results for multivalued contractive mapping by using mixed monotone property in partially ordered bipolar metric spaces. Some interesting consequences of our results are obtained.

scholarly journals Coupled fixed point results for mappings without mixed monotone property

2012 ◽  
Vol 25 (11) ◽  
pp. 1803-1808 ◽  
Author(s):  
Dragan Đorić ◽  
Zoran Kadelburg ◽  
Stojan Radenović
Keyword(s):  
Fixed Point ◽  
Coupled Fixed Point ◽  
Mixed Monotone Property ◽  
Monotone Property
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