The characteristics of concave function and convex function are considered
the random solution existence of random 1-set contractive operator equations whose boundary conditions are governed by concave function
convex function or monotone function is investigated. The conclusions expand the famous Altman theorem and those in Zhu's and Li's.
关键词
Keywords
references
{"db_type":"CJFDREF","db_name":"期刊","reference_articles":[{"unit":"山西大学学报(自然科学版)","flag":"[J]","issue":"04","year":2004,"author":"梁占平,李福义,张叶勤","index":1,"title":"Altman定理的推广"},{"unit":"数学物理学报","flag":"[J]","issue":"03","year":2003,"author":"朱传喜,Pan Y F","index":2,"title":"一类随机算子方程随机解的存在性"},{"unit":"数学进展","flag":"[J]","issue":"05","year":1998,"author":"朱传喜","index":3,"title":"1-集压缩型随机算子方程的若干定理"},{"unit":"数学进展","flag":"[J]","issue":"05","year":1997,"author":"朱传喜","index":4,"title":"关于随机算子方程的随机解"},{"unit":"应用数学学报","flag":"[J]","issue":"02","year":1996,"author":"李国祯","index":5,"title":"随机1-集压缩算子的随机不动点指数和随机不动点定理"}],"articles_count":5}