Coupled fixed point theorems for rational contractions in partially ordered cone metric spaces

2019 ◽  
Author(s):  
Richa Sharma ◽  
Virendra Singh Chouhan ◽  
Sanjay Mishra
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Coupled Fixed Point ◽  
Cone Metric Spaces ◽  
Partially Ordered ◽  
Cone Metric

scholarly journals Coupled fixed point theorems in partially ordered cone metric spaces

Filomat ◽  
2011 ◽  
Vol 25 (2) ◽  
pp. 137-149 ◽  
Author(s):  
Hui-Sheng Ding ◽  
Lu Li
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Coupled Fixed Point ◽  
Monotone Mappings ◽  
Ordered Metric Space ◽  
Cone Metric Spaces ◽  
Partially Ordered ◽  
Nonlinear Anal ◽  
Cone Metric

This paper is concerned with mixed monotone mappings in partially ordered cone metric spaces. We establish several fixed point theorems, which generalize and complement some known results. Especially, even in a partially ordered metric space, our main results are generalizations of the fixed point theorems due to Bhaskar and Lakshmikantham [T. Grana Bhaskar, V. Lakshmikantham, Fixed point theorems in partially ordered metric spaces and applications, Nonlinear Anal. TMA 65 (2006) 1379-1393].

scholarly journals Coupled Fixed Point Theorems of Single-Valued Mapping forc-Distance in Cone Metric Spaces

2012 ◽  
Vol 2012 ◽  
pp. 1-20 ◽  
Author(s):  
Zaid Mohammed Fadail ◽  
Abd Ghafur Bin Ahmad
Keyword(s):  
Fixed Point ◽  
Metric Space ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Coupled Fixed Point ◽  
Cone Metric Space ◽  
Cone Metric Spaces ◽  
Cone Metric

A new concept of thec-distance in cone metric space has been introduced recently in 2011. The aim of this paper is to extend and generalize some coupled fixed-point theorems onc-distance in cone metric space. Some examples are given.

scholarly journals Common Coupled Fixed Point Theorems of Single-Valued Mapping forc-Distance in Cone Metric Spaces

2012 ◽  
Vol 2012 ◽  
pp. 1-24 ◽  
Author(s):  
Zaid Mohammed Fadail ◽  
Abd Ghafur Bin Ahmad
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Coupled Fixed Point ◽  
Cone Metric Spaces ◽  
Common Coupled Fixed Point ◽  
Different Types ◽  
The Common ◽  
Contraction Type ◽  
Cone Metric

The existence and uniqueness of the common coupled fixed point in cone metric spaces have been studied by considering different types of contractive conditions. A new concept of thec-distance in cone metric space has been recently introduced in 2011. Then, coupled fixed point results for contraction-type mappings in ordered cone metric spaces and cone metric spaces have been considered. In this paper, some common coupled fixed point results onc-distance in cone metric spaces are obtained. Some supporting examples are given.

scholarly journals Coupled Coincidence Points in Partially Ordered Cone Metric Spaces with ac-Distance

2012 ◽  
Vol 2012 ◽  
pp. 1-15 ◽  
Author(s):  
Wasfi Shatanawi ◽  
Erdal Karapınar ◽  
Hassen Aydi
Keyword(s):  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Coincidence Point ◽  
Coupled Fixed Point ◽  
Coincidence Points ◽  
Cone Metric Spaces ◽  
Partially Ordered ◽  
Coupled Coincidence Points ◽  
Cone Metric ◽  
Coupled Coincidence

Cho et al. (2012) proved some coupled fixed point theorems in partially ordered cone metric spaces by using the concept of ac-distance in cone metric spaces. In this paper, we prove some coincidence point theorems in partially ordered cone metric spaces by using the notion of ac-distance. Our results generalize several well-known comparable results in the literature. Also, we introduce an example to support the usability of our results.

scholarly journals Coupled Fixed Point Theorems under Weak Contractions

2012 ◽  
Vol 2012 ◽  
pp. 1-9 ◽  
Author(s):  
Y. J. Cho ◽  
Z. Kadelburg ◽  
R. Saadati ◽  
W. Shatanawi
Keyword(s):  
Fixed Point ◽  
Common Fixed Point ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Coupled Fixed Point ◽  
Cone Metric Spaces ◽  
Common Fixed Point Theorems ◽  
Cone Metric

Cho et al. [Comput. Math. Appl. 61(2011), 1254–1260] studied common fixed point theorems on cone metric spaces by using the concept ofc-distance. In this paper, we prove some coupled fixed point theorems in ordered cone metric spaces by using the concept ofc-distance in cone metric spaces.

scholarly journals Some Rational Coupled Fuzzy Cone Contraction Theorems in Fuzzy Cone Metric Spaces with an Application

2021 ◽  
Vol 2021 ◽  
pp. 1-21
Author(s):  
Saif Ur Rehman ◽  
Muhammad Talha Waheed ◽  
Naeem Jan ◽  
Abdu Gumaei ◽  
Mabrook Al-Rakhami
Keyword(s):  
Fixed Point ◽  
Contraction Mapping ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Coupled Fixed Point ◽  
Integral Type ◽  
Cone Metric Spaces ◽  
Cone Metric ◽  
Rational Type ◽  
Type Contraction

In this paper, we establish the new concept of rational coupled fuzzy cone contraction mapping in fuzzy cone metric spaces and prove some unique rational-type coupled fixed-point theorems in the framework of fuzzy cone metric spaces by using “the triangular property of fuzzy cone metric.” To ensure the existence of our results, we present some illustrative unique coupled fixed-point examples. Furthermore, we present an application of a Lebesgue integral-type contraction mapping in fuzzy cone metric spaces and to prove a unique coupled fixed-point theorem.

scholarly journals Some Coupled Fixed Point Theorems in Cone Metric Spaces

2009 ◽  
Vol 2009 ◽  
pp. 1-9 ◽  
Author(s):  
F. Sabetghadam ◽  
H. P. Masiha ◽  
A. H. Sanatpour
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Coupled Fixed Point ◽  
Cone Metric Spaces ◽  
Cone Metric
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