On the existence and uniqueness problems of solutions for set-valued and single-valued nonlinear operator equations in probabilistic normed spaces

On the existence and uniqueness problems of solutions for set-valued and single-valued nonlinear operator equations in probabilistic normed spaces

In this paper, we introduce the concept of more general probabilistic contractors in probabilistic normed spaces and show the existence and uniqueness of solutions for set-valued and single-valued nonlinear operator equations in Menger probabilistic normed spaces.

Bibliographic Details
Main Authors: Shih-Sen Chang, Yeol Je Cho, Fan Wang
Format: Article
Language:English
Published: Hindawi Limited 1994-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/S0161171294000530
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spelling doaj-dc6204ddc1504c678b4bda6101d505dd2020-11-24T23:29:53ZengHindawi LimitedInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251994-01-0117238939610.1155/S0161171294000530On the existence and uniqueness problems of solutions for set-valued and single-valued nonlinear operator equations in probabilistic normed spacesShih-Sen Chang0Yeol Je Cho1Fan Wang2Department of Mathematics, Sichuan University, Sichuan, Chengdu 610064, ChinaDepartment of Mathematics, Gyeongsang National University, Jinju 660-701, KoreaJiangsu Industrial and Commercial School, Jiangsu, Nantong 226004, ChinaIn this paper, we introduce the concept of more general probabilistic contractors in probabilistic normed spaces and show the existence and uniqueness of solutions for set-valued and single-valued nonlinear operator equations in Menger probabilistic normed spaces.http://dx.doi.org/10.1155/S0161171294000530
collection DOAJ
language English
format Article
sources DOAJ
author Shih-Sen Chang
Yeol Je Cho
Fan Wang
spellingShingle Shih-Sen Chang
Yeol Je Cho
Fan Wang
On the existence and uniqueness problems of solutions for set-valued and single-valued nonlinear operator equations in probabilistic normed spaces
International Journal of Mathematics and Mathematical Sciences
author_facet Shih-Sen Chang
Yeol Je Cho
Fan Wang
author_sort Shih-Sen Chang
title On the existence and uniqueness problems of solutions for set-valued and single-valued nonlinear operator equations in probabilistic normed spaces
title_short On the existence and uniqueness problems of solutions for set-valued and single-valued nonlinear operator equations in probabilistic normed spaces
title_full On the existence and uniqueness problems of solutions for set-valued and single-valued nonlinear operator equations in probabilistic normed spaces
title_fullStr On the existence and uniqueness problems of solutions for set-valued and single-valued nonlinear operator equations in probabilistic normed spaces
title_full_unstemmed On the existence and uniqueness problems of solutions for set-valued and single-valued nonlinear operator equations in probabilistic normed spaces
title_sort on the existence and uniqueness problems of solutions for set-valued and single-valued nonlinear operator equations in probabilistic normed spaces
publisher Hindawi Limited
series International Journal of Mathematics and Mathematical Sciences
issn 0161-1712
1687-0425
publishDate 1994-01-01
description In this paper, we introduce the concept of more general probabilistic contractors in probabilistic normed spaces and show the existence and uniqueness of solutions for set-valued and single-valued nonlinear operator equations in Menger probabilistic normed spaces.
url http://dx.doi.org/10.1155/S0161171294000530
work_keys_str_mv AT shihsenchang ontheexistenceanduniquenessproblemsofsolutionsforsetvaluedandsinglevaluednonlinearoperatorequationsinprobabilisticnormedspaces
AT yeoljecho ontheexistenceanduniquenessproblemsofsolutionsforsetvaluedandsinglevaluednonlinearoperatorequationsinprobabilisticnormedspaces
AT fanwang ontheexistenceanduniquenessproblemsofsolutionsforsetvaluedandsinglevaluednonlinearoperatorequationsinprobabilisticnormedspaces
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