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 ◽  
...  

<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>


2015 ◽  
Vol 11 (5) ◽  
pp. 5258-5265
Author(s):  
Dr. Arihant Jain ◽  
Vaijayanti Supekar

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



2012 ◽  
Vol 2012 ◽  
pp. 1-18 ◽  
Author(s):  
Zorana Golubović ◽  
Zoran Kadelburg ◽  
Stojan Radenović

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.



2018 ◽  
Vol 2018 ◽  
pp. 1-10 ◽  
Author(s):  
Tawseef Rashid ◽  
Qamrul Haq Khan ◽  
Hassen Aydi

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.







2012 ◽  
Vol 2012 ◽  
pp. 1-15 ◽  
Author(s):  
Wasfi Shatanawi ◽  
Erdal Karapınar ◽  
Hassen Aydi

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.



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