Coupled coincidence point theorems for mappings without mixed monotone property under c-distance 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.
Rajesh Kumar
- Department of Mathematics,Hindu College, University of Delhi, Delhi-110007, 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 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.
Share and Cite
ISRP Style
Rakesh Batra, Sachin Vashistha, Rajesh Kumar, Coupled coincidence point theorems for mappings without mixed monotone property under c-distance in cone metric spaces, Journal of Nonlinear Sciences and Applications, 7 (2014), no. 5, 345--358
AMA Style
Batra Rakesh, Vashistha Sachin, Kumar Rajesh, Coupled coincidence point theorems for mappings without mixed monotone property under c-distance in cone metric spaces. J. Nonlinear Sci. Appl. (2014); 7(5):345--358
Chicago/Turabian Style
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 Applications, 7, no. 5 (2014): 345--358
Keywords
- fixed point
- coincidence point
- cone metric space
- c-distance
- (F
- g)-invariant set.
MSC
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