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.
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
1994-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S0161171294000530 |
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| _version_ | 1849683379159564288 |
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| author | Shih-Sen Chang Yeol Je Cho Fan Wang |
| author_facet | Shih-Sen Chang Yeol Je Cho Fan Wang |
| author_sort | Shih-Sen Chang |
| collection | DOAJ |
| 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. |
| format | Article |
| id | doaj-art-dc6204ddc1504c678b4bda6101d505dd |
| institution | DOAJ |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1994-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-dc6204ddc1504c678b4bda6101d505dd2025-08-20T03:23:56ZengWileyInternational 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 |
| 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 |
| title | 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_short | 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 |
| url | http://dx.doi.org/10.1155/S0161171294000530 |
| work_keys_str_mv | AT shihsenchang ontheexistenceanduniquenessproblemsofsolutionsforsetvaluedandsinglevaluednonlinearoperatorequationsinprobabilisticnormedspaces AT yeoljecho ontheexistenceanduniquenessproblemsofsolutionsforsetvaluedandsinglevaluednonlinearoperatorequationsinprobabilisticnormedspaces AT fanwang ontheexistenceanduniquenessproblemsofsolutionsforsetvaluedandsinglevaluednonlinearoperatorequationsinprobabilisticnormedspaces |