摘要
本文利用锥理论和选代技巧,研究了一类非紧混合单调算子正不动点的存在唯一性,改进和推广了混合单调算子、增算子与减算子的某些相应结果.
By using the cone theory and the iterative technique, the existence and uniqueness of positive fixed point for a class noncompact mixed monotone operator are studied. Some relevant results of mixed monotone operator, increasing operator and decreasing operator are improved and generalized.
基金
河南省教委重点科研基金!98110020
山东省自然科学基金!Y97A12017
关键词
混合单调算子
正不动点
非紧算子
唯一性
存在性
cone and partial ordering
mixed monotone operator
positive fixed points