scholarly journals On Strong Coupled Coincidence Points ofg-Couplings and an Application

2018 ◽  
Vol 2018 ◽  
pp. 1-10 ◽  
Author(s):  
Tawseef Rashid ◽  
Qamrul Haq Khan ◽  
Hassen Aydi
Keyword(s):  
Existence And Uniqueness ◽  
Coincidence Point ◽  
Coupled Coincidence Point ◽  
Coincidence Points ◽  
Coupled Coincidence Points ◽  
The Given ◽  
Coupled Coincidence

The purpose of this paper is to prove the existence and uniqueness of a strong coupled coincidence point ofF:X×X→Xandg:X→X, involving Banach and Chatterjea typeg-couplings. We also give some examples and an application in support of the given concepts and our main 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 A NOTE ON PARTIALLY ORDERED FUZZY METRIC SPACE VIA COUPLED COINCIDENCE POINTS

2015 ◽  
Vol 11 (5) ◽  
pp. 5258-5265
Author(s):  
Dr. Arihant Jain ◽  
Vaijayanti Supekar
Keyword(s):  
Metric Space ◽  
Coincidence Point ◽  
Coupled Coincidence Point ◽  
Fuzzy Metric Space ◽  
Contractive Condition ◽  
Coincidence Points ◽  
Partially Ordered ◽  
Fuzzy Metric ◽  
Coupled Coincidence Points ◽  
Coupled Coincidence

In this paper, we prove a coupled coincidence point theorem in partially ordered fuzzy metric space using Ï•-contractive condition.

scholarly journals Probabilistic $ (\omega, \gamma, \phi) $-contractions and coupled coincidence point results

2021 ◽  
Vol 6 (11) ◽  
pp. 11620-11630
Author(s):  
Deepak Jain ◽  
◽  
Manish Jain ◽  
Choonkil Park ◽  
Dong Yun Shin ◽  
...  
Keyword(s):  
Metric Space ◽  
Coincidence Point ◽  
Monotone Operators ◽  
Coupled Coincidence Point ◽  
Fuzzy Metric Space ◽  
Coincidence Points ◽  
Fuzzy Metric ◽  
Coupled Coincidence Points ◽  
Coupled Coincidence ◽  
Mixed Monotone Operators

<abstract><p>In this paper, we introduce the notion of probabilistic $ (\omega, \gamma, \phi) $-contraction and establish the existence coupled coincidence points for mixed monotone operators subjected to the introduced contraction in the framework of ordered Menger $ PM $-spaces with Had${\rm{\mathord{\buildrel{\lower3pt\hbox{$\scriptscriptstyle\smile$}} \over z} }}$ić type $ t $-norm. As an application, a corresponding result in the setup of fuzzy metric space is also obtained.</p></abstract>

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 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.

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.

Sign in / Sign up

Export Citation Format

Share Document