Results 1 to 10 of about 1,506,798 (328)

Coupled Coincidence Point and Coupled Fixed Point Theorems via Generalized Meir-Keeler Type Contractions [PDF]

open access: goldAbstract and Applied Analysis, 2012
We prove coupled coincidence point and coupled fixed point results of 𝐹∶𝑋×𝑋→𝑋 and 𝑔∶𝑋→𝑋 involving Meir-Keeler type contractions on the class of partially ordered metric spaces. Our results generalize some recent results in the literature.
Hassen Aydi   +2 more
doaj   +6 more sources

Discussion on some coupled fixed point theorems [PDF]

open access: goldFixed Point Theory and Applications, 2013
In this paper, we show that, unexpectedly, most of the coupled fixed point theorems (on ordered metric spaces) are in fact immediate consequences of well-known fixed point theorems in the literature. MSC: 47H10, 54H25.
Bessem Samet   +3 more
openalex   +4 more sources

Coupled Fixed Point Results in Banach Spaces with Applications [PDF]

open access: yesMathematics, 2021
The aim of this work is to discuss the existence of solutions to the system of fractional variable order hybrid differential equations. For this reason, we establish coupled fixed point results in Banach spaces.
Mian Bahadur Zada   +3 more
doaj   +2 more sources

On Orthogonal Coupled Fixed Point Results with an Application [PDF]

open access: goldJournal of Function Spaces, 2022
In this manuscript, owing to the concept of orthogonal coupled contraction mappings type I and II, we prove coupled fixed point theorem in orthogonal metric spaces. In order to strengthen our main results, a suitable example is presented.
Gunaseelan Mani   +3 more
doaj   +2 more sources

An Illusion: “A Suzuki Type Coupled Fixed Point Theorem” [PDF]

open access: yesAbstract and Applied Analysis, 2014
We admonish to be careful on studying coupled fixed point theorems since most of the reported fixed point results can be easily derived from the existing corresponding theorems in the literature. In particular, we notice that the recent paper [Semwal and
Hamed H. Alsulami   +3 more
doaj   +3 more sources

Coupled fixed point results in generalized metric spaces

open access: bronzeMathematical and Computer Modelling, 2011
In this paper we establish coupled fixed point theorems in a partially ordered G-metric space. The results proved here are illustrated with an example.
Binayak S. Choudhury, Pranati Maity
openalex   +3 more sources

Nonlinear Contractive Conditions for Coupled Cone Fixed Point Theorems [PDF]

open access: yesFixed Point Theory and Applications, 2010
We establish some new coupled fixed point theorems for various types of nonlinear contractive maps in the setting of quasiordered cone metric spaces which not only obtain several coupled fixed point theorems announced by many authors but also generalize ...
Wei-Shih Du
doaj   +5 more sources

$FG$-coupled fixed point theorems in cone metric spaces

open access: diamondKarpatsʹkì Matematičnì Publìkacìï, 2018
The concept of $FG$- coupled fixed point introduced recently is a generalization of coupled fixed point introduced by Guo and Lakshmikantham. A point $(x,y)\in X\times X$ is said to be a coupled fixed point of the mapping $F: X\times X \rightarrow X$ if $
E. Prajisha, P. Shaini
doaj   +3 more sources

An interesting approach to the existence of coupled fixed point

open access: yesAIMS Mathematics, 2021
Configure a coupled fixed point result on a nonempty set engaging a partial order and induced with a quasi-metric in the sense of Kunzi [12] in the framework of $\mathcal{G}$-metric spaces. Our result is supported by an illustrative example.
Pulak Konar   +3 more
doaj   +3 more sources

Some Coupled Fixed Point Theorems in Cone Metric Spaces [PDF]

open access: yesFixed Point Theory and Applications, 2009
We prove some coupled fixed point theorems for mappings satisfying different contractive conditions on complete cone metric spaces.
F. Sabetghadam   +2 more
doaj   +4 more sources

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