In this paper, some definitions of the mixed monotonicity for set-valued operators in semiordered set are introduced and relation of monotonicities are discussed.
给出了半序集上集值算子的几种混合单调性定义，讨论了它们之间的关系。
The existence of the minimal and maximal fixed points for order preserving set-valued operators on semi-ordered sets and semi-ordered topological spaces was analyzed.
讨论了半序集和半序拓扑空间中保序集值算子的最小与最大不动点的存在性。
The study of existence of fixed point for contractive operators is extended to the set-valued case, and some fixed point theorems for set-valued contractive operators are proved.
将压缩算子不动点存在性研究推广到集值的情形，证明了几个满足压缩性质的集值算子不动点定理。
The study of existence of fixed point for contractive operators is extended to the set-valued case, and some fixed point theorems for set-valued contractive operators are proved.
将压缩算子不动点存在性研究推广到集值的情形，证明了几个满足压缩性质的集值算子不动点定理。
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