Some results on T-stability of Picard’s iteration

We prove the existence and uniqueness of fixed points of T-stability for an iteration on partial cone metric space of Zamfirescu contraction. As an application, we prove a theorem for integral equation. We also give illustrative examples to verify our results.

Detalles Bibliográficos
Autores principales: Chhatrajit, Thokchom, Rohen, Yumnam
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2016
Materias:
Review
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4779451/
https://www.ncbi.nlm.nih.gov/pubmed/27047710
http://dx.doi.org/10.1186/s40064-016-1939-5
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author Chhatrajit, Thokchom
Rohen, Yumnam
author_facet Chhatrajit, Thokchom
Rohen, Yumnam
author_sort Chhatrajit, Thokchom
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description We prove the existence and uniqueness of fixed points of T-stability for an iteration on partial cone metric space of Zamfirescu contraction. As an application, we prove a theorem for integral equation. We also give illustrative examples to verify our results.
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spelling pubmed-47794512016-04-04 Some results on T-stability of Picard’s iteration Chhatrajit, Thokchom Rohen, Yumnam Springerplus Review We prove the existence and uniqueness of fixed points of T-stability for an iteration on partial cone metric space of Zamfirescu contraction. As an application, we prove a theorem for integral equation. We also give illustrative examples to verify our results. Springer International Publishing 2016-03-05 /pmc/articles/PMC4779451/ /pubmed/27047710 http://dx.doi.org/10.1186/s40064-016-1939-5 Text en © Chhatrajit and Rohen. 2016 Open AccessThis article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
spellingShingle Review
Chhatrajit, Thokchom
Rohen, Yumnam
Some results on T-stability of Picard’s iteration
title Some results on T-stability of Picard’s iteration
title_full Some results on T-stability of Picard’s iteration
title_fullStr Some results on T-stability of Picard’s iteration
title_full_unstemmed Some results on T-stability of Picard’s iteration
title_short Some results on T-stability of Picard’s iteration
title_sort some results on t-stability of picard’s iteration
topic Review
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4779451/
https://www.ncbi.nlm.nih.gov/pubmed/27047710
http://dx.doi.org/10.1186/s40064-016-1939-5
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AT rohenyumnam someresultsontstabilityofpicardsiteration

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