Coupled coincidence point theorems for mappings without mixed monotone property under cdistance in cone metric spaces
Authors
Rakesh Batra
 Department of Mathematics, Hans Raj College, University of Delhi, Delhi110007, India.
Sachin Vashistha
 Department of Mathematics, Hindu College, University of Delhi, Delhi110007, India.
Rajesh Kumar
 Department of Mathematics,Hindu College, University of Delhi, Delhi110007, India.
Abstract
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 RodríguezLópez 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.
Share and Cite
ISRP Style
Rakesh Batra, Sachin Vashistha, Rajesh Kumar, Coupled coincidence point theorems for mappings without mixed monotone property under cdistance in cone metric spaces, Journal of Nonlinear Sciences and Applications, 7 (2014), no. 5, 345358
AMA Style
Batra Rakesh, Vashistha Sachin, Kumar Rajesh, Coupled coincidence point theorems for mappings without mixed monotone property under cdistance in cone metric spaces. J. Nonlinear Sci. Appl. (2014); 7(5):345358
Chicago/Turabian Style
Batra, Rakesh, Vashistha, Sachin, Kumar, Rajesh. "Coupled coincidence point theorems for mappings without mixed monotone property under cdistance in cone metric spaces." Journal of Nonlinear Sciences and Applications, 7, no. 5 (2014): 345358
Keywords
 fixed point
 coincidence point
 cone metric space
 cdistance
 (F
 g)invariant set.
MSC
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