scholarly journals Using the Supremum Form of Auxiliary Functions to Study the Common Coupled Coincidence Points in Fuzzy Semi-Metric Spaces

Axioms ◽  
2021 ◽  
Vol 10 (1) ◽  
pp. 5
Author(s):  
Hsien-Chung Wu
Keyword(s):  
Metric Space ◽  
Metric Spaces ◽  
Coincidence Points ◽  
Coupled Coincidence Points ◽  
Cauchy Sequences ◽  
The Common ◽  
Rational Condition ◽  
Common Coupled Fixed Points ◽  
Coupled Coincidence ◽  
Coupled Fixed Points

This paper investigates the common coupled coincidence points and common coupled fixed points in fuzzy semi-metric spaces. The symmetric condition is not necessarily satisfied in fuzzy semi-metric space. Therefore, four kinds of triangle inequalities are taken into account in order to study the Cauchy sequences. Inspired by the intuitive observations, the concepts of rational condition and distance condition are proposed for the purpose of simplifying the discussions.

scholarly journals Some Common Coupled Fixed Point Results for Generalized Contraction in Complex-Valued Metric Spaces

2013 ◽  
Vol 2013 ◽  
pp. 1-10 ◽  
Author(s):  
Marwan Amin Kutbi ◽  
Akbar Azam ◽  
Jamshaid Ahmad ◽  
Cristina Di Bari
Keyword(s):  
Fixed Points ◽  
Metric Space ◽  
Metric Spaces ◽  
Coupled Fixed Point ◽  
Generalized Contraction ◽  
Complex Valued Metric Space ◽  
The Common ◽  
Complex Valued ◽  
Common Coupled Fixed Points ◽  
Coupled Fixed Points

We introduce and study the notion of common coupled fixed points for a pair of mappings in complex valued metric space and demonstrate the existence and uniqueness of the common coupled fixed points in a complete complex-valued metric space in view of diverse contractive conditions. In addition, our investigations are well supported by nontrivial examples.

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 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 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.

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