It is proved that there exist at least one minimal continuously essential set of fixed points, and the minimal continuously essential set is connected.
即证明了每一上半连续非空紧凸值集值映射至少存在一个该映射不动点集的极小连续本质集,以及该极小连续本质集是连通的。
In this thesis, we mainly investigate the existences of fixed points for weakly inward 1-set-contraction mappings and monotone operators with their applications.
本文主要研究了弱内向1 -集压缩映象和单调算子的不动点的存在性定理及其应用。
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。
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