Geodesic
Coupled coincidence point theorems for nonlinear contractions under $(F,g)$-invariant set in cone metric spaces :
Batra, Rakesh1 ; Vashistha, Sachin2
1 Department of Mathematics, Hans Raj College, University of Delhi, Delhi-110007, India
2 Department of Mathematics, Hindu College, University of Delhi, Delhi-110007, India
Journal of nonlinear sciences and its applications, Tome 6 (2013) no. 2, p. 86-96 Cet article a éte moissonné depuis la source International Scientific Research Publications

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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.

DOI : 10.22436/jnsa.006.02.04
Classification : 47H10, 54H25, 55M20
Keywords: Coincidence point, Cone metric space, C-distance, Fixed point, (F, g)-invariant set.

Batra, Rakesh 1 ; Vashistha, Sachin 2

1 Department of Mathematics, Hans Raj College, University of Delhi, Delhi-110007, India
2 Department of Mathematics, Hindu College, University of Delhi, Delhi-110007, India 
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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 its applications, Tome 6 (2013) no. 2, p. 86-96. doi: 10.22436/jnsa.006.02.04

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