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 Coincidence Points of Mappings in Ordered Partial Metric Spaces

2012 ◽  
Vol 2012 ◽  
pp. 1-18 ◽  
Author(s):  
Zorana Golubović ◽  
Zoran Kadelburg ◽  
Stojan Radenović
Keyword(s):  
Fixed Point ◽  
Metric Spaces ◽  
Coincidence Point ◽  
Coupled Fixed Point ◽  
Coupled Coincidence Point ◽  
Partial Metric ◽  
Coincidence Points ◽  
Coupled Coincidence Points ◽  
Partial Metric Spaces ◽  
Coupled Coincidence

New coupled coincidence point and coupled fixed point results in ordered partial metric spaces under the contractive conditions of Geraghty, Rakotch, and Branciari types are obtained. Examples show that these results are distinct from the known ones.

scholarly journals Coupled Fixed-Point Theorems for Contractions in Partially Ordered Metric Spaces and Applications

2012 ◽  
Vol 2012 ◽  
pp. 1-20 ◽  
Author(s):  
M. Eshaghi Gordji ◽  
Y. J. Cho ◽  
S. Ghods ◽  
M. Ghods ◽  
M. Hadian Dehkordi
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Coupled Fixed Point ◽  
Contractive Condition ◽  
Coincidence Points ◽  
Ordered Metric Spaces ◽  
Coupled Coincidence Points ◽  
Definition Of ◽  
Coupled Coincidence

Bhaskar and Lakshmikantham (2006) showed the existence of coupled coincidence points of a mappingFfromX×XintoXand a mappinggfromXintoXwith some applications. The aim of this paper is to extend the results of Bhaskar and Lakshmikantham and improve the recent fixed-point theorems due to Bessem Samet (2010). Indeed, we introduce the definition of generalizedg-Meir-Keeler type contractions and prove some coupled fixed point theorems under a generalizedg-Meir-Keeler-contractive condition. Also, some applications of the main results in this paper are given.

scholarly journals Coupled Coincidence Point and Coupled Fixed Point Theorems via Generalized Meir-Keeler Type Contractions

2012 ◽  
Vol 2012 ◽  
pp. 1-22 ◽  
Author(s):  
Hassen Aydi ◽  
Erdal Karapınar ◽  
İnci M. Erhan
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Coincidence Point ◽  
Coupled Fixed Point ◽  
Coupled Coincidence Point ◽  
Ordered Metric Spaces ◽  
Partially Ordered Metric Spaces ◽  
Partially Ordered ◽  
Coupled Coincidence

We prove coupled coincidence point and coupled fixed point results of and involving Meir-Keeler type contractions on the class of partially ordered metric spaces. Our results generalize some recent results in the literature. Also, we give some illustrative examples and application.

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 Some New Coupled Coincidence Point and Coupled Fixed Point Results in Partially Ordered Metric-Like Spaces and an Application

2018 ◽  
Vol 2018 ◽  
pp. 1-13 ◽  
Author(s):  
Min Liang ◽  
Chuanxi Zhu ◽  
Zhaoqi Wu ◽  
Chunfang Chen
Keyword(s):  
Fixed Point ◽  
Integral Equations ◽  
Fixed Point Theorems ◽  
Coincidence Point ◽  
Coupled Fixed Point ◽  
Coupled Coincidence Point ◽  
Nonlinear Integral Equations ◽  
Partially Ordered ◽  
Coupled Coincidence

Some new coupled coincidence point and coupled fixed point theorems are established in partially ordered metric-like spaces, which generalize many results in corresponding literatures. An example is given to support our main results. As an application, we discuss the existence of the solutions for a class of nonlinear integral equations.

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