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Stability of tripled fixed point iteration procedures for monotone mappings

Stability of tripled fixed point iteration procedures for monotone mappings The new concept of tripled fixed point introduced recently by Berinde and Borcut (Nonlinear Anal. 74:4889–4897, 2011) directed to several researches on this subject, in partially metric spaces and in cone metric spaces. In this paper, we introduce the notion of stability definition of tripled fixed point iteration procedures and establish stability results for monotone mappings which satisfy various contractive conditions. Our results extend and complete some existing results in the literature. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png ANNALI DELL'UNIVERSITA' DI FERRARA Springer Journals

Stability of tripled fixed point iteration procedures for monotone mappings

Timiş, Ioana
ANNALI DELL'UNIVERSITA' DI FERRARA , Volume 59 (2) – Dec 5, 2012
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9 pages

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Publisher
Springer Journals
Copyright
Copyright © 2012 by Università degli Studi di Ferrara
Subject
Mathematics; Mathematics, general; Analysis; Geometry; History of Mathematical Sciences; Numerical Analysis; Algebraic Geometry
ISSN
0430-3202
eISSN
1827-1510
DOI
10.1007/s11565-012-0171-7
Publisher site
See Article on Publisher Site

Abstract

The new concept of tripled fixed point introduced recently by Berinde and Borcut (Nonlinear Anal. 74:4889–4897, 2011) directed to several researches on this subject, in partially metric spaces and in cone metric spaces. In this paper, we introduce the notion of stability definition of tripled fixed point iteration procedures and establish stability results for monotone mappings which satisfy various contractive conditions. Our results extend and complete some existing results in the literature.

Journal

ANNALI DELL'UNIVERSITA' DI FERRARA – Springer Journals

Published: Dec 5, 2012

References

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