实Banach空间中锥上的随机逼近和随机不动点定理

RANDOM APPROXIMATIONS AND RANDOM FIXED POINT THEOREMS FOR SET VALUED MAPPING ON A CONE IN A REAL BANACH SPACE

本文在实Ｂａｎａｃｈ空间的锥上证明了集值映射的随机逼近定理．作为应用，讨论了几个随机的不动点定理．我们的工作推广了Ｌｉｎ，Ｓｅｈｇａｌ和Ｓｉｎｇｈ的结果．

We prove two random approximation theorems on a cone in a real Banach space for set valued mappings. For applications,some random fixed point theorems are derived. Our work extends the results obtained by Lin,Sehgal and Singh.