Coupled coincidence point theorems for mappings without mixed monotone property under c-distance 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. 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.


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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


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