Coupled coincidence point theorems for nonlinear contractions under \((F,g)\)-invariant set in cone metric spaces
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Authors
Rakesh Batra
- Department of Mathematics, Hans Raj College, University of Delhi, Delhi-110007, India.
Sachin Vashistha
- Department of Mathematics, Hindu College, University of Delhi, Delhi-110007, India.
Abstract
We extend the recent results of coupled coincidence point theorems of Shatanawi et. al. (2012) by weakening
the concept of mixed g-monotone property. We also give an example of a nonlinear contraction mapping,
which is not applied to the existence of coupled coincidence point by the results of Shatanawi et. al. but
can be applied to our results. The main results extend and unify the results of Shatanawi et. al. and many
results of the coupled fixed point theorems of Sintunavarat et. al.
Share and Cite
ISRP Style
Rakesh Batra, Sachin Vashistha, Coupled coincidence point theorems for nonlinear contractions under \((F,g)\)-invariant set in cone metric spaces, Journal of Nonlinear Sciences and Applications, 6 (2013), no. 2, 86--96
AMA Style
Batra Rakesh, Vashistha Sachin, Coupled coincidence point theorems for nonlinear contractions under \((F,g)\)-invariant set in cone metric spaces. J. Nonlinear Sci. Appl. (2013); 6(2):86--96
Chicago/Turabian Style
Batra, Rakesh, Vashistha, Sachin. "Coupled coincidence point theorems for nonlinear contractions under \((F,g)\)-invariant set in cone metric spaces." Journal of Nonlinear Sciences and Applications, 6, no. 2 (2013): 86--96
Keywords
- Coincidence point
- Cone metric space
- C-distance
- Fixed point
- (F
- g)-invariant set.
MSC
References
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