scholarly journals Coupled Fixed Point Theorems with Rational Type Contractive Condition in a Partially OrderedG-Metric Space

2014 ◽  
Vol 2014 ◽  
pp. 1-7
Author(s):  
K. Chakrabarti
Keyword(s):  
Fixed Point ◽  
Metric Space ◽  
Fixed Point Theorems ◽  
Coupled Fixed Point ◽  
Contractive Condition ◽  
Mixed Monotone Property ◽  
Coincidence Points ◽  
Coupled Coincidence Points ◽  
Rational Type ◽  
Coupled Coincidence

Coupled fixed point theorems for a map satisfying mixed monotone property and a nonlinear, rational type contractive condition are established in a partially orderedG-metric space. The conditions for uniqueness of the coupled fixed point are discussed. We also present results for the existence of coupled coincidence points of two maps.

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 Generalized Contractions to Coupled Fixed Point Theorems in Partially Ordered Metric Spaces

2020 ◽  
pp. 492-502 ◽  
Author(s):  
Rao, N. Seshagiri ◽  
Karusala Kalyani
Keyword(s):  
Fixed Point ◽  
Partial Order ◽  
Metric Space ◽  
Existence And Uniqueness ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Coupled Fixed Point ◽  
Mixed Monotone Property ◽  
Ordered Metric Spaces ◽  
Rational Type

The purpose of this paper is to establish some coupled fixed point theorems for a self mapping satisfying certain rational type contractions along with strict mixed monotone property in a metric space endowed with partial order. Also, we have given the result of existence and uniqueness of a coupled fixed point for the mapping. This result generalize and extend several well known results in the literature

scholarly journals Coupled coincidence and coupled common fixed point theorem in dislocated quasi metric space

2020 ◽  
Vol 3 (4) ◽  
pp. 11-18
Author(s):  
Mitiku Damene ◽  
◽  
Kidane Koyas ◽  
Solomon Gebregiorgis ◽  
◽  
...  
Keyword(s):  
Fixed Point ◽  
Common Fixed Point ◽  
Metric Space ◽  
Considerable Improvement ◽  
Contractive Condition ◽  
Coupled Common Fixed Point ◽  
Weakly Compatible ◽  
Common Fixed Point Theorem ◽  
Rational Type ◽  
Coupled Coincidence

The objective of this paper is to establish a theorem involving a pair of weakly compatible mappings fulfilling a contractive condition of rational type in the context of dislocated quasi metric space. Besides we proved the existence and uniqueness of coupled coincidence and coupled common fixed point for such mappings. This work offers extension as well as considerable improvement of some results in the existing literature. Lastly, an illustrative example is given to validate our newly proved 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 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.

scholarly journals Solution of Some Impulsive Differential Equations via Coupled Fixed Point

Symmetry ◽  
2021 ◽  
Vol 13 (3) ◽  
pp. 501
Author(s):  
Ahmed Boudaoui ◽  
Khadidja Mebarki ◽  
Wasfi Shatanawi ◽  
Kamaleldin Abodayeh
Keyword(s):  
Fixed Point ◽  
Differential Equations ◽  
Fixed Points ◽  
Metric Space ◽  
Fixed Point Theorems ◽  
Coupled Fixed Point ◽  
Sufficient Conditions ◽  
Impulsive Differential Equations ◽  
System Of Differential Equations ◽  
Coupled Fixed Points

In this article, we employ the notion of coupled fixed points on a complete b-metric space endowed with a graph to give sufficient conditions to guarantee a solution of system of differential equations with impulse effects. We derive recisely some new coupled fixed point theorems under some conditions and then apply our results to achieve our goal.

Sign in / Sign up

Export Citation Format

Share Document