拟序下混合单调算子的广义耦合不动点定理

Some generalized coupled fixed point theorems for mixed monotone operators under quasi-ordering

摘要: 提出了拟序下混合单调算子及其广义耦合不动点的概念.利用序方法证明了拟序下非连续混合单调算子的最小广义耦合不动点和最大广义耦合不动点的存在性,进而推广了已知结论,使其适用范围更广.

Abstract: The definition of mixed monotone operator and its generalized coupled fixed point under quasi-ordering is gived.The existence of minimal and maximal generalized coupled fixed points for mixed monotone operator under quasi-ordering was proved by using the order method.The obtained results improve the related known works.