A Fixed Point Theorem in Orbitally Complete Partially Ordered Metric Spaces

Autor:	P. D. Sailaja, G. V. R. Babu, K. T. Kidane
Jazyk:	angličtina
Rok vydání:	2013
Předmět:	Combinatorics Discrete mathematics Metric space Bourbaki–Witt theorem Article Subject Fixed-point theorem Chain complete Partially ordered set Fixed-point property Mathematics
Zdroj:	Journal of Operators.
ISSN:	2314-5064
DOI:	10.1155/2013/404573
Popis:	Let (X,⪯) be a partially ordered set and T:X→X be a mapping. We prove a fixed point theorem for the map T satisfying a contractive condition in orbits, when X is T-orbitally complete. Our result extends and generalizes the results of Samet et al. (2013) to partially ordered sets. Also, we generalize the results of Ran and Reurings (2004).
Databáze:	OpenAIRE
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