オンラインカジノ - ボーナス100％最大＄500 - ウィリアムヒル ...

RIEB, Kobe University Site Map Access 日本語 Home Research & Education Publications RIEB Discussion Paper Series (English) RIEB Discussion Paper Series No.2013-27 RIEB Discussion Paper Series No.2013-27 Title Simple Fixed Point Results for Order-Preserving Self-Maps and Applications to Nonlinear Markov Operators Abstract Consider a preordered metric space ( X , d , &＃10927; ) . Suppose that d ( x , y ) &＃8804; d ( x &＃8242; , y &＃8242; ) if x &＃8242; &＃10927; x &＃10927; y &＃10927; y &＃8242; . We say that a self-map T on X is asymptotically contractive if d ( T i x , T i y ) &＃8594; 0 for all x , y &＃8712; X . We show that an order-preserving self-map T on X has a globally stable fixed point if and only if T is asymptotically contractive and there exist x , x &＃8727; &＃8712; X such that T i x &＃10927; x &＃8727; for all i &＃8712; &＃8469; and x &＃8727; &＃10927; T x &＃8727; . We establish this and other fixed point results for more general spaces where d consists of a collection of distance measures. We apply our results to order-preserving nonlinear Markov operators on the space of probability distribution functions on &＃8477;. Keywords Fixed point, Order-preserving self-map, Contraction, Nonlin-ear Markov operator, Global stability Inquiries Takashi KAMIHIGASHI Research Institute for Economics and Business AdministrationKobe UniversityRokkodai-cho, Nada-ku, Kobe657-8501 JapanPhone: +81-78-803-7036FAX: +81-78-803-7059John STACHURSKI Research School of Economics, Australian National University About RIEB Faculty Seminars at RIEB Research & Education Sections Kobe University Site Policy Site Map Access Contact Us Copyright©1996-2018 Research Institute for Economics and Business Administration, Kobe University. All Rights Reserved.