A System of Nonlinear Operator Equations for a Mixed Family of Fuzzy and Crisp Operators in Probabilistic Normed Spaces

By using a random version of the theory of contractor introduced by Altman, we introduce and study a system of nonlinear operator equations for a mixed family of fuzzy and crisp operators in probabilistic normed spaces. We construct some new iterative algorithms for solving this kind of nonlinear op...

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Main Authors:	Yeol Je Cho, Heng-you Lan, Nan-jing Huang
Format:	Article
Language:	English
Published:	SpringerOpen 2010-01-01
Series:	Journal of Inequalities and Applications
Online Access:	http://dx.doi.org/10.1155/2010/152978

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spelling	doaj-923fa667ac104c41bb90df471feac1ae2020-11-25T00:18:45ZengSpringerOpenJournal of Inequalities and Applications1025-58341029-242X2010-01-01201010.1155/2010/152978A System of Nonlinear Operator Equations for a Mixed Family of Fuzzy and Crisp Operators in Probabilistic Normed SpacesYeol Je ChoHeng-you LanNan-jing HuangBy using a random version of the theory of contractor introduced by Altman, we introduce and study a system of nonlinear operator equations for a mixed family of fuzzy and crisp operators in probabilistic normed spaces. We construct some new iterative algorithms for solving this kind of nonlinear operator equations. We also prove some new existence theorems of solutions of a new system of nonlinear operator equations for a mixed family of fuzzy and crisp operators and some new convergence results of sequences generated by iterative algorithms under joint orbitally complete conditions. http://dx.doi.org/10.1155/2010/152978
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Yeol Je Cho Heng-you Lan Nan-jing Huang
spellingShingle	Yeol Je Cho Heng-you Lan Nan-jing Huang A System of Nonlinear Operator Equations for a Mixed Family of Fuzzy and Crisp Operators in Probabilistic Normed Spaces Journal of Inequalities and Applications
author_facet	Yeol Je Cho Heng-you Lan Nan-jing Huang
author_sort	Yeol Je Cho
title	A System of Nonlinear Operator Equations for a Mixed Family of Fuzzy and Crisp Operators in Probabilistic Normed Spaces
title_short	A System of Nonlinear Operator Equations for a Mixed Family of Fuzzy and Crisp Operators in Probabilistic Normed Spaces
title_full	A System of Nonlinear Operator Equations for a Mixed Family of Fuzzy and Crisp Operators in Probabilistic Normed Spaces
title_fullStr	A System of Nonlinear Operator Equations for a Mixed Family of Fuzzy and Crisp Operators in Probabilistic Normed Spaces
title_full_unstemmed	A System of Nonlinear Operator Equations for a Mixed Family of Fuzzy and Crisp Operators in Probabilistic Normed Spaces
title_sort	system of nonlinear operator equations for a mixed family of fuzzy and crisp operators in probabilistic normed spaces
publisher	SpringerOpen
series	Journal of Inequalities and Applications
issn	1025-5834 1029-242X
publishDate	2010-01-01
description	By using a random version of the theory of contractor introduced by Altman, we introduce and study a system of nonlinear operator equations for a mixed family of fuzzy and crisp operators in probabilistic normed spaces. We construct some new iterative algorithms for solving this kind of nonlinear operator equations. We also prove some new existence theorems of solutions of a new system of nonlinear operator equations for a mixed family of fuzzy and crisp operators and some new convergence results of sequences generated by iterative algorithms under joint orbitally complete conditions.
url	http://dx.doi.org/10.1155/2010/152978
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A System of Nonlinear Operator Equations for a Mixed Family of Fuzzy and Crisp Operators in Probabilistic Normed Spaces

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