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

BEG , ISMAT ¹ ; BUTT, ASMA RAS¹

¹ Centre for Advanced Studies in Mathematics, Lahore University of Management Sciences, 54792-Lahore, Pakistan

Journal of nonlinear sciences and its applications, Tome 3 (2010) no. 3, p. 179-185.

Résumé

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 $F$.

Détail

DOI : 10.22436/jnsa.003.03.03

Classification : 47H10, 47H04, 47H07
Keywords: Coupled fixed point, partially ordered set, metric space, set valued mapping.

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