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Fixed Point Theory and Applications
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Fixed Point Theory and Applications
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Fixed Point Theory and Applications
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Fixed Point Theory and Applications
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Coupled fixed point theorems for asymptotically nonexpansive mappings

descriptionPublicationkeyboard_double_arrow_right Article 25 Mar 2013 English Publisher:Springer Science and Business Media LLCJournal:Fixed Point Theory and Applications, volume 2,013 (eissn: 1687-1812, Copyright policy )
Authors: Shih-sen Chang; J. O. Olaleru; Hallowed Olaoluwa;

doi: 10.1186/1687-1812-2013-68

Coupled fixed point theorems for asymptotically nonexpansive mappings

Abstract

We introduce the theory of asymptotical nonexpansiveness of mappings defined in the algebraic product and with values in the space E. We then prove the existence of coupled fixed points of such mappings when E is a uniformly convex Banach space. This paper is an extension of some recent results in the literature. MSC:47H10, 47H09.

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Keywords

Applied Mathematics, Geometry and Topology

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citations
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
3
Average
Average
Average
gold