一类混合单调算子不动点存在唯一性定理_论文发表网 关键词：锥与半序；混合单调算子；不动点 [gap=577]Key words：cone and semi—order；mixed monotone operator；fixed point
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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.
利用锥上的混合单调算子不动点定理，本文研究了一类四阶奇异非线性微分方程的边值问题，即一类弹性梁方程问题。
By using a fixed point theorem of mixed monotone operators in cone, this paper studied a fourth-order nonlinear singular boundary value problem, namely a class of elastic beam equation.
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。
In this paper, some definitions of the mixed monotonicity for set-valued operators in semiordered set are introduced and relation of monotonicities are discussed.
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