Coupled Fixed Point Theorems under Weak Contractions [PDF]
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
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Coupled Coincidence Point and Coupled Fixed Point Theorems via Generalized Meir-Keeler Type Contractions [PDF]
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
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Nonlinear Contractive Conditions for Coupled Cone Fixed Point Theorems [PDF]
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
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Some Coupled Fixed Point Theorems in Cone Metric Spaces [PDF]
We prove some coupled fixed point theorems for mappings satisfying different contractive conditions on complete cone metric spaces.
F. Sabetghadam +2 more
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On Orthogonal Coupled Fixed Point Results with an Application
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
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Some Coupled Fixed Point Results on Partial Metric Spaces [PDF]
We give some coupled fixed point results for mappings satisfying different contractive conditions on complete partial metric spaces.
Hassen Aydi
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$FG$-coupled fixed point theorems in cone metric spaces
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
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Coupled Fixed Point Results in Complete Partial Metric Spaces [PDF]
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
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An Illusion: “A Suzuki Type Coupled Fixed Point Theorem”
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
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Some Fixed Point Theorems in Generalized Metric Spaces Endowed with Vector-valued Metrics and Application in Linear and Nonlinear Matrix Equations [PDF]
Let $mathcal{X}$ be a partially ordered set and $d$ be a generalized metric on $mathcal{X}$. We obtain some results in coupled and coupled coincidence of $g$-monotone functions on $mathcal{X}$, where $g$ is a function from $mathcal{X}$ into itself ...
Hasan Hosseinzadeh
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