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2013 On Fixed Point Theory of Monotone Mappings with Respect to a Partial Order Introduced by a Vector Functional in Cone Metric Spaces
Zhilong Li, Shujun Jiang
Abstr. Appl. Anal. 2013(none): 1-6 (2013). DOI: 10.1155/2013/349305

Abstract

We presented some maximal and minimal fixed point theorems of set-valued monotone mappings with respect to a partial order introduced by a vector functional in cone metric spaces. In addition, we proved not only the existence of maximal and minimal fixed points but also the existence of the largest and the least fixed points of single-valued increasing mappings. It is worth mentioning that the results on single-valued mappings in this paper are still new even in the case of metric spaces and hence they indeed improve the recent results.

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Zhilong Li. Shujun Jiang. "On Fixed Point Theory of Monotone Mappings with Respect to a Partial Order Introduced by a Vector Functional in Cone Metric Spaces." Abstr. Appl. Anal. 2013 1 - 6, 2013. https://doi.org/10.1155/2013/349305

Information

Published: 2013
First available in Project Euclid: 27 February 2014

zbMATH: 1273.54064
MathSciNet: MR3035229
Digital Object Identifier: 10.1155/2013/349305

Rights: Copyright © 2013 Hindawi

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