Geodesic
Coupled coincidence point theorems for mappings without mixed monotone property under c-distance in cone metric spaces
Batra, Rakesh1 ; Vashistha, Sachin2 ; Kumar, Rajesh3
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
3 Department of Mathematics,Hindu College, University of Delhi, Delhi-110007, India
Journal of nonlinear sciences and its applications, Tome 7 (2014) no. 5, p. 345-358.

Voir la notice de l'article provenant de la source International Scientific Research Publications

Fixed point theory in the field of partially ordered metric spaces has been an area of attraction since the appearance of Ran and Reurings theorem and Nieto and Rodríguez-López theorem. One of the most significant hypotheses of these theorems was the mixed monotone property which has been avoided and replaced by the notion of invariant set in recent years and many statements have been proved using the concept of invariant set. In this paper we show that the invariant condition guides us to prove many similar results to which we were exposed to using the mixed monotone property. We present some examples in support of applicability of our results.
DOI : 10.22436/jnsa.007.05.05
Classification : 47H10, 54H25, 55M20
Keywords: fixed point, coincidence point, cone metric space, c-distance, (F, g)-invariant set.

Batra, Rakesh 1 ; Vashistha, Sachin 2 ; Kumar, Rajesh 3

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
3 Department of Mathematics,Hindu College, University of Delhi, Delhi-110007, India 
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Batra, Rakesh; Vashistha, Sachin; Kumar, Rajesh. Coupled coincidence point theorems for mappings without mixed monotone property under c-distance in cone metric spaces. Journal of nonlinear sciences and its applications, Tome 7 (2014) no. 5, p. 345-358. doi : 10.22436/jnsa.007.05.05. http://geodesic.mathdoc.fr/articles/10.22436/jnsa.007.05.05/

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