Random fixed points of set-valued operators
نویسندگان
چکیده
منابع مشابه
Continuous Dependence on Parameters of the Fixed Points Set for some Set -Valued Operators
In this paper we extend the notion of I0−continuity and uniform I − continuity from [2] to set-valued operators. Using these properties, we prove some results on continuous dependence of the fixed points set for families of contractive type set-valued operators. Mathematics Subject Classification (1991). 47H04, 34A60, 47H10.
متن کاملCommon random fixed points of compatible random operators
The study of random fixed point theory was initiated by the Prague school of probabilists in the 1950s [12, 13, 26]. Random fixed point theorems are stochastic generalization of classical fixed point theorems. The survey article by Bharucha-Reid [10] attracted the attention of several mathematicians and gave wings to this theory. Itoh [16] extended Spacek’s and Hans’s theorem to multivalued con...
متن کاملThe Abdus Salam International Centre for Theoretical Physics Random Fixed Points of Set-valued Maps
Some random xed point theorems for set-valued random operators under very mild conditions are established. Some recent results of O'Regan ([Proc. Amer. Math. Soc. 126 (1998), 3045{3053] and [Computers Math. Applic. 35 (1998), 27{34]) are improved signi cantly. The discussion in this paper underlines, in addition to generality, the unifying aspects of our result.
متن کاملStructure of the Fixed Point of Condensing Set-Valued Maps
In this paper, we present structure of the fixed point set results for condensing set-valued map. Also, we prove a generalization of the Krasnosel'skii-Perov connectedness principle to the case of condensing set-valued maps.
متن کاملRandom Fixed Point Theorems for Asymptotic 1-set Contraction Operators
Random fixed point theorems for condensing 1-set contraction selfmaps are known. But no random fixed point theorem for more general asymptotic 1-set contraction selfmaps is yet available. The purpose of this paper is to prove random fixed point theorems for such maps. 1. Introduction. Random fixed point theorems are stochastic versions of (classical or deterministic) fixed point theorems and ar...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 1996
ISSN: 0002-9939,1088-6826
DOI: 10.1090/s0002-9939-96-03062-6