scholarly journals Coupled Coincidence Points for Mixed Monotone Random Operators in Partially Ordered Metric Spaces

2014 ◽  
Vol 2014 ◽  
pp. 1-9
Author(s):  
Binghua Jiang ◽  
Shaoyuan Xu ◽  
Lu Shi
Keyword(s):  
Metric Spaces ◽  
Random Operators ◽  
Coincidence Points ◽  
Random Coincidence ◽  
Ordered Metric Spaces ◽  
Partially Ordered Metric Spaces ◽  
Partially Ordered ◽  
Coupled Coincidence Points ◽  
Coincidence Theorems ◽  
Coupled Coincidence

The aim of this work is to prove some coupled random coincidence theorems for a pair of compatible mixed monotone random operators satisfying weak contractive conditions. These results are some random versions and extensions of results of Karapınar et al. (2012). Our results generalize the results of Shatanawi and Mustafa (2012).

scholarly journals Coupled Coincidence Point Results for(ψ,α,β)-Weak Contractions in Partially Ordered Metric Spaces

2012 ◽  
Vol 2012 ◽  
pp. 1-19 ◽  
Author(s):  
A. Razani ◽  
V. Parvaneh
Keyword(s):  
Metric Spaces ◽  
Coincidence Point ◽  
Coupled Coincidence Point ◽  
Contractive Condition ◽  
Coincidence Points ◽  
Ordered Metric Spaces ◽  
Partially Ordered Metric Spaces ◽  
Complete Metric Spaces ◽  
Partially Ordered ◽  
Coupled Coincidence

In this paper coupled coincidence points of mappings satisfying a nonlinear contractive condition in the framework of partially ordered metric spaces are obtained. Our results extend the results of Harjani et al. (2011). Moreover, an example of the main result is given. Finally, some coupled coincidence point results for mappings satisfying some contraction conditions of integral type in partially ordered complete metric spaces are deduced.

Coupled coincidence point results for (φ,ψ)-contractive mappings in partially ordered metric spaces

2014 ◽  
Vol 21 (2) ◽  
Author(s):  
Jamshaid Ahmad ◽  
Muhammad Arshad ◽  
Pasquale Vetro
Keyword(s):  
Metric Spaces ◽  
Coincidence Point ◽  
Coupled Coincidence Point ◽  
Ordered Metric Spaces ◽  
Partially Ordered Metric Spaces ◽  
Partially Ordered ◽  
Contractive Mappings ◽  
Coupled Coincidence

Abstract.In this paper, we extend the coupled coincidence point theorems for a mixed

scholarly journals n-Tupled Coincidence Point Theorems in Partially Ordered Metric Spaces for Compatible Mappings

2014 ◽  
Vol 2014 ◽  
pp. 1-8 ◽  
Author(s):  
Sumitra Dalal ◽  
Muhammad Alamgir Khan ◽  
Sunny Chauhan
Keyword(s):  
Metric Spaces ◽  
Coincidence Point ◽  
Compatible Mappings ◽  
Coincidence Points ◽  
Ordered Metric Spaces ◽  
Partially Ordered Metric Spaces ◽  
Partially Ordered

The intent of this paper is to introduce the notion of compatible mappings forn-tupled coincidence points due to (Imdad et al. (2013)). Related examples are also given to support our main results. Our results are the generalizations of the results of (Gnana Bhaskar and Lakshmikantham (2006), Lakshmikantham and Ćirić (2009), Choudhury and Kundu (2010), and Choudhary et al. (2013)).

scholarly journals Coincidence Points of Weaker Contractions in Partially Ordered Metric Spaces

2013 ◽  
Vol 2013 ◽  
pp. 1-8
Author(s):  
Kuo-Ching Jen ◽  
Ing-Jer Lin ◽  
Chi-Ming Chen
Keyword(s):  
Metric Spaces ◽  
Coincidence Point ◽  
Coincidence Points ◽  
Ordered Metric Spaces ◽  
Partially Ordered Metric Spaces ◽  
Partially Ordered

We prove new coincidence point theorems for the -contractions and generalized Meir-Keeler-type --contractions in partially ordered metric spaces. Our results generalize many recent coincidence point theorems in the literature.

scholarly journals Coupled Coincidence Point Theorem in Partially Ordered Metric Spaces via Implicit Relation

2012 ◽  
Vol 2012 ◽  
pp. 1-14 ◽  
Author(s):  
Nguyen Manh Hung ◽  
Erdal Karapınar ◽  
Nguyen Van Luong
Keyword(s):  
Point Theorem ◽  
Metric Spaces ◽  
Coincidence Point ◽  
Coupled Coincidence Point ◽  
Ordered Metric Spaces ◽  
Implicit Relation ◽  
Partially Ordered Metric Spaces ◽  
Monotone Property ◽  
Partially Ordered ◽  
Coupled Coincidence

We prove a coupled coincidence point theorem for mappingsF: andg: , whereFhas the mixedg-monotone property, in partially ordered metric spaces via implicit relations. Our result extends and improves several results in the literature. Examples are also given to illustrate our work.

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