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

Volume 3, Issue 3, pp 179-185 http://dx.doi.org/10.22436/jnsa.003.03.03

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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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Keywords

• Coupled fixed point
• partially ordered set
• metric space
• set valued mapping.

MSC

•  47H10
•  47H04
•  47H07

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