Coupled coincidence point theorems for nonlinear contractions under \((F,g)\)-invariant set in cone metric spaces


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.


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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


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