Open AccessCommon random fixed points of compatible random operators
Author(s) -
Ismat Beg,
Mujahid Abbas
Publication year - 2006
Publication title -
international journal of mathematics and mathematical sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 39
eISSN - 1687-0425
pISSN - 0161-1712
DOI - 10.1155/ijmms/2006/23486
Subject(s) - mathematics , random compact set , random element , fixed point , random function , convergence of random variables , convergence (economics) , random field , construct (python library) , type (biology) , discrete mathematics , pure mathematics , random variable , mathematical analysis , statistics , computer science , biology , ecology , economic growth , programming language , economics
We construct a random iteration scheme and study necessary conditions for its convergence to a common random fixed point of two pairs of compatible random operators satisfying Meir-Keeler type conditions in Polish spaces. Some random fixed point theorems for weakly compatible random operators under generalized contractive conditions in the framework of symmetric spaces are also proved
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