scholarly journals Quadruple fixed point theorems for compatible type mappings without mixedg-monotone property in partially orderedb-metric spaces

2014 ◽  
Vol 8 (3) ◽  
pp. 95-108
Author(s):  
R. A. Rashwan ◽  
S. M. Saleh
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Monotone Property ◽  
Quadruple Fixed Point

scholarly journals Quadruple Fixed Point Theorems under Nonlinear Contractive Conditions in Partially Ordered Metric Spaces

2012 ◽  
Vol 2012 ◽  
pp. 1-17 ◽  
Author(s):  
Erdal Karapınar ◽  
Wasfi Shatanawi ◽  
Zead Mustafa
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Ordered Metric Spaces ◽  
Partially Ordered Metric Spaces ◽  
Partially Ordered ◽  
Quadruple Fixed Point

We prove a number of quadruple fixed point theorems under -contractive conditions for a mapping in ordered metric spaces. Also, we introduce an example to illustrate the effectiveness of our results.

scholarly journals On Coupled Common Fixed Point Theorems for Nonlinear Contractions with the Mixed Weakly Monotone Property in Partially OrderedS-Metric Spaces

2016 ◽  
Vol 2016 ◽  
pp. 1-9 ◽  
Author(s):  
Mi Zhou ◽  
Xiao-Lan Liu
Keyword(s):  
Fixed Point ◽  
Common Fixed Point ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Sufficient Conditions ◽  
Monotone Property ◽  
Coupled Common Fixed Point ◽  
Common Fixed Point Theorems ◽  
Nonlinear Contractions ◽  
Type Contraction

The main aim of this paper is to establish some coupled common fixed point theorems under a Geraghty-type contraction using mixed weakly monotone property in partially orderedS-metric space. Also, we give some sufficient conditions for the uniqueness of a coupled common fixed point. Some examples are provided to demonstrate the validity of our results.

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