Random fixed points and random differential inclusions
In this paper, first, we study random best approximations to random sets, using fixed point techniques, obtaining this way stochastic analogues of earlier deterministic results by Browder-Petryshyn, KyFan and Reich. Then we prove two fixed point theorems for random multifunctions with stochastic dom...
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| Format: | Article |
| Language: | English |
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Wiley
1988-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171288000663 |
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| _version_ | 1832556728922669056 |
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| author | Nikolaos S. Papageorgiou |
| author_facet | Nikolaos S. Papageorgiou |
| author_sort | Nikolaos S. Papageorgiou |
| collection | DOAJ |
| description | In this paper, first, we study random best approximations to random sets, using fixed point techniques, obtaining this way stochastic analogues of earlier deterministic results by Browder-Petryshyn, KyFan and Reich. Then we prove two fixed point theorems for random multifunctions with stochastic domain that satisfy certain tangential conditions. Finally we consider a random differential inclusion with upper semicontinuous orientor field and establish the existence of random solutions. |
| format | Article |
| id | doaj-art-240f83bd14d14ad380c99556820e1524 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1988-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-240f83bd14d14ad380c99556820e15242025-02-03T05:44:27ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251988-01-0111355155910.1155/S0161171288000663Random fixed points and random differential inclusionsNikolaos S. Papageorgiou0University of California, 1015 Department of Mathematics, Davis 95616, California, USAIn this paper, first, we study random best approximations to random sets, using fixed point techniques, obtaining this way stochastic analogues of earlier deterministic results by Browder-Petryshyn, KyFan and Reich. Then we prove two fixed point theorems for random multifunctions with stochastic domain that satisfy certain tangential conditions. Finally we consider a random differential inclusion with upper semicontinuous orientor field and establish the existence of random solutions.http://dx.doi.org/10.1155/S0161171288000663random fixed pointrandom solutionsrandom differential inclusion and abstract differential equations. |
| spellingShingle | Nikolaos S. Papageorgiou Random fixed points and random differential inclusions International Journal of Mathematics and Mathematical Sciences random fixed point random solutions random differential inclusion and abstract differential equations. |
| title | Random fixed points and random differential inclusions |
| title_full | Random fixed points and random differential inclusions |
| title_fullStr | Random fixed points and random differential inclusions |
| title_full_unstemmed | Random fixed points and random differential inclusions |
| title_short | Random fixed points and random differential inclusions |
| title_sort | random fixed points and random differential inclusions |
| topic | random fixed point random solutions random differential inclusion and abstract differential equations. |
| url | http://dx.doi.org/10.1155/S0161171288000663 |
| work_keys_str_mv | AT nikolaosspapageorgiou randomfixedpointsandrandomdifferentialinclusions |