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Coupled Fixed Point Theorems under Weak Contractions [PDF]

open access: yesDiscrete Dynamics in Nature and Society, 2012
Cho et al. [Comput. Math. Appl. 61(2011), 1254–1260] studied common fixed point theorems on cone metric spaces by using the concept of c-distance. In this paper, we prove some coupled fixed point theorems in ordered cone metric spaces by using the ...
Y. J. Cho   +3 more
doaj   +3 more sources

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

open access: yesAbstract 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   +4 more sources

Some Coupled Fixed Point Results on Partial Metric Spaces [PDF]

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2011
We give some coupled fixed point results for mappings satisfying different contractive conditions on complete partial metric spaces.
Hassen Aydi
doaj   +5 more sources

Coupled Fixed Point Results in Complete Partial Metric Spaces [PDF]

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2012
We establish some coupled fixed point theorems for a mapping satisfying some contraction conditions in complete partial metric spaces. Our consequences extend the results of H. Aydi (2011).
H. Alaeidizaji, V. Parvaneh
doaj   +4 more sources

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

open access: yesKarpatsʹkì 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   +2 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

Nonlinear Contractive Conditions for Coupled Cone Fixed Point Theorems

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   +3 more sources

On Coupled Fixed Point Theorems for Nonlinear Contractions in Partially Ordered -Metric Spaces [PDF]

open access: yesAbstract and Applied Analysis, 2012
Two concepts—one of the coupled fixed point and the other of the generalized metric space—play a very active role in recent research on the fixed point theory.
S. A. Mohiuddine, Abdullah Alotaibi
doaj   +2 more sources

Coupled fixed point theorems under new coupled implicit relation in Hilbert spaces

open access: yesDemonstratio Mathematica, 2022
The aim of this paper is to study existence and uniqueness of coupled fixed point for a family of self-mappings satisfying a new coupled implicit relation in a Hilbert space. We also prove well-posedness of a coupled fixed point problem.
Kim Kyung Soo
doaj   +2 more sources

Coupled Fixed-Point Theorems in Theta-Cone-Metric Spaces

open access: yesJournal of Mathematics, 2021
This paper gives further generalizations of some well-known coupled fixed-point theorems. Specifically, Theorem 3 of the paper is the generalization of the Baskar–Lackshmikantham coupled fixed-point theorem, and Theorem 5 is the generalization of the ...
Sahar Mohamed Ali Abou Bakr
doaj   +2 more sources

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