Random fixed points and random differential inclusions. (1988)

• Record Type: Journal Article
• Authors: Papageorgiou, Nikolaos S.
• Is Part Of: International journal of mathematics and mathematical sciences. Volume 11:Number 3(1988)
• Page Start: 551
• Page End: 559
• Publication Date: 1988
• Subjects: random fixed point -- random solutions -- random differential inclusion and abstract differential equations; Mathematics -- Periodicals; 510.5
• DOI: 10.1155/S0161171288000663
• Languages: English
• ISSNs: 0161-1712

Abstract

Abstract : 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.