ψ-Contraction and [Formula: see text] -contraction in Menger probabilistic metric space

The purpose of this paper is to present the definition of [Formula: see text] -contractive mapping and to discuss the relation of [Formula: see text] -contractive mappings and [Formula: see text] -contractive mappings. Furthermore, the generalized [Formula: see text] -contraction mapping principle h...

Descripción completa

Detalles Bibliográficos
Autores principales: Ma, Pengcheng, Guan, Jinyu, Tang, Yanxia, Xu, Yongchun, Su, Yongfu
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2016
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4771691/
https://www.ncbi.nlm.nih.gov/pubmed/27026927
http://dx.doi.org/10.1186/s40064-016-1795-3
_version_ 1782418424776884224
author Ma, Pengcheng
Guan, Jinyu
Tang, Yanxia
Xu, Yongchun
Su, Yongfu
author_facet Ma, Pengcheng
Guan, Jinyu
Tang, Yanxia
Xu, Yongchun
Su, Yongfu
author_sort Ma, Pengcheng
collection PubMed
description The purpose of this paper is to present the definition of [Formula: see text] -contractive mapping and to discuss the relation of [Formula: see text] -contractive mappings and [Formula: see text] -contractive mappings. Furthermore, the generalized [Formula: see text] -contraction mapping principle has been proved without the uniqueness condition. Meanwhile, the generalized [Formula: see text] -contraction mapping principle has been obtained by using an ingenious method.
format Online
Article
Text
id pubmed-4771691
institution National Center for Biotechnology Information
language English
publishDate 2016
publisher Springer International Publishing
record_format MEDLINE/PubMed
spelling pubmed-47716912016-03-29 ψ-Contraction and [Formula: see text] -contraction in Menger probabilistic metric space Ma, Pengcheng Guan, Jinyu Tang, Yanxia Xu, Yongchun Su, Yongfu Springerplus Research The purpose of this paper is to present the definition of [Formula: see text] -contractive mapping and to discuss the relation of [Formula: see text] -contractive mappings and [Formula: see text] -contractive mappings. Furthermore, the generalized [Formula: see text] -contraction mapping principle has been proved without the uniqueness condition. Meanwhile, the generalized [Formula: see text] -contraction mapping principle has been obtained by using an ingenious method. Springer International Publishing 2016-02-29 /pmc/articles/PMC4771691/ /pubmed/27026927 http://dx.doi.org/10.1186/s40064-016-1795-3 Text en © Ma et al. 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 Research
Ma, Pengcheng
Guan, Jinyu
Tang, Yanxia
Xu, Yongchun
Su, Yongfu
ψ-Contraction and [Formula: see text] -contraction in Menger probabilistic metric space
title ψ-Contraction and [Formula: see text] -contraction in Menger probabilistic metric space
title_full ψ-Contraction and [Formula: see text] -contraction in Menger probabilistic metric space
title_fullStr ψ-Contraction and [Formula: see text] -contraction in Menger probabilistic metric space
title_full_unstemmed ψ-Contraction and [Formula: see text] -contraction in Menger probabilistic metric space
title_short ψ-Contraction and [Formula: see text] -contraction in Menger probabilistic metric space
title_sort ψ-contraction and [formula: see text] -contraction in menger probabilistic metric space
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4771691/
https://www.ncbi.nlm.nih.gov/pubmed/27026927
http://dx.doi.org/10.1186/s40064-016-1795-3
work_keys_str_mv AT mapengcheng pscontractionandformulaseetextcontractioninmengerprobabilisticmetricspace
AT guanjinyu pscontractionandformulaseetextcontractioninmengerprobabilisticmetricspace
AT tangyanxia pscontractionandformulaseetextcontractioninmengerprobabilisticmetricspace
AT xuyongchun pscontractionandformulaseetextcontractioninmengerprobabilisticmetricspace
AT suyongfu pscontractionandformulaseetextcontractioninmengerprobabilisticmetricspace

Ejemplares similares