COUPLED FIXED POINTS OF SET VALUED MAPPINGS IN PARTIALLY ORDERED METRIC SPACES


Authors

ISMAT BEG - Centre for Advanced Studies in Mathematics, Lahore University of Management Sciences, 54792-Lahore, Pakistan. ASMA RAS BUTT - Centre for Advanced Studies in Mathematics, Lahore University of Management Sciences, 54792-Lahore, Pakistan.


Abstract

Let \((X,\preceq)\) be a partially ordered set and \(d\) be a metric on \(X\) such that \((X, d)\) is a complete metric space. Let \(F : X \times X \rightsquigarrow X\) be a mixed monotone set valued mapping. We obtain sufficient conditions for the existence of a coupled fixed point of \(F\).


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ISRP Style

ISMAT BEG, ASMA RAS BUTT, COUPLED FIXED POINTS OF SET VALUED MAPPINGS IN PARTIALLY ORDERED METRIC SPACES, Journal of Nonlinear Sciences and Applications, 3 (2010), no. 3, 179-185

AMA Style

BEG ISMAT, BUTT ASMA RAS, COUPLED FIXED POINTS OF SET VALUED MAPPINGS IN PARTIALLY ORDERED METRIC SPACES. J. Nonlinear Sci. Appl. (2010); 3(3):179-185

Chicago/Turabian Style

BEG , ISMAT, BUTT, ASMA RAS. "COUPLED FIXED POINTS OF SET VALUED MAPPINGS IN PARTIALLY ORDERED METRIC SPACES." Journal of Nonlinear Sciences and Applications, 3, no. 3 (2010): 179-185


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