Nonlinear random operator equations and inequalities in Banach spaces
In this paper we give some new existence theorems for nonlinear random equations and inequalities involving operators of monotone type in Banach spaces. A random Hammerstein integral equation is also studied. In order to obtain random solutions we use some results from the existing deterministic the...
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| Format: | Article |
| Language: | English |
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Wiley
1992-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
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| Online Access: | http://dx.doi.org/10.1155/S0161171292000139 |
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| _version_ | 1832559836564291584 |
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| author | Antonios Karamolegos Dimitrios Kravvaritis |
| author_facet | Antonios Karamolegos Dimitrios Kravvaritis |
| author_sort | Antonios Karamolegos |
| collection | DOAJ |
| description | In this paper we give some new existence theorems for nonlinear random equations and inequalities involving operators of monotone type in Banach spaces. A random Hammerstein integral equation is also studied. In order to obtain random solutions we use some results from the existing deterministic theory as well as from the theory of measurable multifunctions and, in particular, the measurable selection theorems of Kuratowski/Ryll-Nardzewski and of Saint-Beuve. |
| format | Article |
| id | doaj-art-6a3bbad8bc2a4e6a8ebde622f944803d |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1992-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-6a3bbad8bc2a4e6a8ebde622f944803d2025-02-03T01:29:11ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251992-01-0115111111810.1155/S0161171292000139Nonlinear random operator equations and inequalities in Banach spacesAntonios Karamolegos0Dimitrios Kravvaritis1Department of Mathematics, National Technical University of Athens, Zografou Campus, Athens 157 73, GreeceDepartment of Mathematics, National Technical University of Athens, Zografou Campus, Athens 157 73, GreeceIn this paper we give some new existence theorems for nonlinear random equations and inequalities involving operators of monotone type in Banach spaces. A random Hammerstein integral equation is also studied. In order to obtain random solutions we use some results from the existing deterministic theory as well as from the theory of measurable multifunctions and, in particular, the measurable selection theorems of Kuratowski/Ryll-Nardzewski and of Saint-Beuve.http://dx.doi.org/10.1155/S0161171292000139random equations and inequalitiesoperators of monotone typecoercive operatorsmeasurable multifunctions. |
| spellingShingle | Antonios Karamolegos Dimitrios Kravvaritis Nonlinear random operator equations and inequalities in Banach spaces International Journal of Mathematics and Mathematical Sciences random equations and inequalities operators of monotone type coercive operators measurable multifunctions. |
| title | Nonlinear random operator equations and inequalities in Banach spaces |
| title_full | Nonlinear random operator equations and inequalities in Banach spaces |
| title_fullStr | Nonlinear random operator equations and inequalities in Banach spaces |
| title_full_unstemmed | Nonlinear random operator equations and inequalities in Banach spaces |
| title_short | Nonlinear random operator equations and inequalities in Banach spaces |
| title_sort | nonlinear random operator equations and inequalities in banach spaces |
| topic | random equations and inequalities operators of monotone type coercive operators measurable multifunctions. |
| url | http://dx.doi.org/10.1155/S0161171292000139 |
| work_keys_str_mv | AT antonioskaramolegos nonlinearrandomoperatorequationsandinequalitiesinbanachspaces AT dimitrioskravvaritis nonlinearrandomoperatorequationsandinequalitiesinbanachspaces |