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Fixed Point
Fixed Point Property
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KKM mappings in cone metric spaces and some fixed point theorems
KKM mappings in cone metric spaces and some fixed point theorems,10.1016/j.na.2009.06.058,Nonlinear Analysistheory Methods & Applications,Duran Turko
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KKM mappings in cone metric spaces and some fixed point theorems
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Citations: 15
)
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Duran Turkoglu
,
Muhib Abuloha
,
Thabet Abdeljawad
In this paper, we define KKM mappings in cone metric spaces and define Nℜcone metric spaces to obtain some
fixed point
theorems and hence generalize the results obtained in [A. Amini, M. Fakhar, J. Zafarani, KKM mapping in metric spaces, Nonlinear Anal. 60 (2005) 1045–1052].
Journal:
Nonlinear Analysistheory Methods & Applications  NONLINEAR ANALTHEOR METH APP
, vol. 72, no. 1, pp. 348353, 2010
DOI:
10.1016/j.na.2009.06.058
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Citation Context
(1)
...For example, we refer to [
8
,
12
,
13
,
19
,
20
]...
Thabet Abdeljawad
.
Order Norm Completions of Cone Metric Spaces
References
(6)
Cone metric spaces and fixed point theorems of contractive mappings
(
Citations: 118
)
LongGuang Huang
,
Xian Zhang
Journal:
Journal of Mathematical Analysis and Applications  J MATH ANAL APPL
, vol. 332, no. 2, pp. 14681476, 2007
Common fixed points for maps on cone metric space
(
Citations: 50
)
Dejan Ilic
,
Vladimir Rakocevic
Journal:
Journal of Mathematical Analysis and Applications  J MATH ANAL APPL
, vol. 341, no. 2, pp. 876882, 2008
Common fixed point results for noncommuting mappings without continuity in cone metric spaces
(
Citations: 66
)
M. Abbas
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G. Jungck
Journal:
Journal of Mathematical Analysis and Applications  J MATH ANAL APPL
, vol. 341, no. 1, pp. 416420, 2008
Common fixed points in cone metric spaces
(
Citations: 34
)
Pasquale Vetro
Journal:
Rendiconti Del Circolo Matematico Di Palermo
, vol. 56, no. 3, pp. 464468, 2007
Some notes on the paper “Cone metric spaces and fixed point theorems of contractive mappings”
(
Citations: 74
)
Sh. Rezapour
,
R. Hamlbarani
Journal:
Journal of Mathematical Analysis and Applications  J MATH ANAL APPL
, vol. 345, no. 2, pp. 719724, 2008
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Citations
(15)
Fixed point theory for cyclic weak ϕcontraction
Erdal Karapinar
Journal:
Applied Mathematics Letters
, vol. 24, no. 6, pp. 822825, 2011
Order Norm Completions of Cone Metric Spaces
Thabet Abdeljawad
Journal:
Numerical Functional Analysis and Optimization  NUMER FUNC ANAL OPTIMIZ
, vol. 32, no. 5, pp. 477495, 2011
Examples in Cone Metric Spaces: A Survey
Mehdi Asadi
,
Hossein Soleimani
Published in 2011.
Partially ordered cone metric spaces and coupled fixed point results
(
Citations: 8
)
W. Shatanawi
Journal:
Computers & Mathematics With Applications  COMPUT MATH APPL
, vol. 60, no. 8, pp. 25082515, 2010
Couple fixed point theorems for nonlinear contractions in cone metric spaces
(
Citations: 5
)
Erdal Karapinar
Journal:
Computers & Mathematics With Applications  COMPUT MATH APPL
, vol. 59, no. 12, pp. 36563668, 2010