A Fixed Point Theorem in Orbitally Complete Partially Ordered Metric Spaces. (18th December 2013)

• Record Type: Journal Article
• Authors: Babu, G. V. R.; Sailaja, P. D.; Kidane, K. T.
• Other Names: Verma Ram U. Academic Editor.
• Is Part Of: Journal of operators. Volume 2013(2013)
• Publication Date: 2013-12-18
• Subjects: Operator theory -- Periodicals; Operator theory; Periodicals; 515.724
• DOI: 10.1155/2013/404573
• Languages: English
• ISSNs: 2314-5064

Abstract

Abstract : Let( X, ⪯ ) be a partially ordered set andT : X → X be a mapping. We prove a fixed point theorem for the mapT satisfying a contractive condition in orbits, whenX isT -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).