一类非紧算子正不动点的存在唯一性

Existence and Uniqueness of Positive Fixed Point for a Class Noncompact Operator

中文关键词:  锥和半序  混合单调算子  正不动点

英文关键词:cone and partial ordering  mixed monotone operator  positive fixed points

中文摘要:

      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．

英文摘要:

      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.