运用Zorn引理得到了非紧，非单调算子不动点存在性的一些有趣结果。
This paper obtains some new and interest theorem on the existence of fixed points for noncompact and no monotone operators.
利用锥理论和单调迭代技巧讨论了一类逐点次连续的混合单调算子不动点的存在性问题。
Cone theory and monotone iterative technique are used to discuss the existence for a kind of mixed monotone operators with pointwise sub-continuity.
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.
给出了一些新的增算子不动点存在性定理以及这些不动点的迭代解法，从而统一和推广了许多已知结果。
In this paper, some new fixed point theorems and the iterative technique of these fixed points for increasing operators are given. The results presented here unify and extend many known results.
在研究算子不动点的过程中，人们早已注意到算子的相对伸长度在证明其不动点存在唯一性以及寻找不动点中的作用。
In the research on the existence and uniqueness of fixed points of operators as well as the method for finding them, the action of the relative lengthened degree was noticed about seventy years ago.
保留锥P为正规锥，将增算子A减弱为弱连续。空间E减弱为弱完备，在条件减弱的情况下，仍然得到了增算子不动点的存在性。
In this paper, we retains the cone P normal cone, increasing operator A weaken the weakly continuous operator, space E weaken the weak complete space.
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。
In this thesis, we mainly investigate the existences of fixed points for weakly inward 1-set-contraction mappings and monotone operators with their applications.
利用锥理论给出了随机1-集压缩算子的随机不动点指数的一些计算方法。
Some new methods of computation for random fixed point index of random 1-set-constractive operator.
本文研究了乘积空间中非线性算子的极大极小不动点和迭代法。
In this paper, we study minimal and maximal fixed point theorems and iterative technique for nonlinear operators in product Spaces.
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 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.
研究了一个多值增算子的不动点问题，获得了几个存在性定理，所获结果推广了已知的结论。
Several fixed theorems for multivalued increasing operators are obtained, and the obtained results extend and improve the related known works in the literature.
本文研究了几种典型的非线性算子的不动点问题及收敛性问题。
Fixed point problems and convergence problems of several typical nonlinear operators are studied in this thesis.
本文得到了拟弱连续算子的几个不动点定理，并用迭代法求出不动点。
In this paper, we obtained some fixed point theorems of the quasi-weakly continuous operators and found out these fixed points by iterative technique.
非扩张映像是最重要的非线性算子之一，非扩张映像不动点迭代算法已经积累了系统的研究成果。
The nonexpansive mapping is the most important one of the nonlinear operators. The fixed point iterative algorithm of nonexpansive mapping has accumulated systematic research results.
非扩张映像是最重要的非线性算子之一，非扩张映像不动点迭代算法已经积累了系统的研究成果。
The nonexpansive mapping is the most important one of the nonlinear operators. The fixed point iterative algorithm of nonexpansive mapping has accumulated systematic research results.
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