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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   +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   +7 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   +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   +6 more sources

Vector-valued metrics, fixed points and coupled fixed points for nonlinear operators [PDF]

open access: yesFixed Point Theory and Applications, 2013
Abstract In this paper, we will present fixed point theorems for singlevalued and multivalued operators in spaces endowed with vector-valued metrics, as well as a Gnana Bhaskar-Lakshmikantham-type theorem for the coupled fixed point problem, associated to a pair of singlevalued operators (satisfying a generalized mixed monotone property) in ...
Petruşel, Adrian   +2 more
core   +6 more sources

On Orthogonal Coupled Fixed Point Results with an Application

open access: yesJournal 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   +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

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

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   +3 more sources

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

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   +4 more sources

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