diagonal process meaning in Chinese
对角线法
对角线方法
Examples
- In this chapter , a class of mixed monotone operators with a - t type convexity and concavity has been discussed through cone theory and by using the method of lower - upper solutions , the skill of monotone iterative . the sufficient and necessary conditions for existence and uniqueness of their fixed points are given . the results in relevant literatures are generalized or included . these sufficient and necessary conditions are out of the limitation of only giving the sufficient conditions in previous papers , and improve the relevant results essentially ; for a class of mixed monotone operators with general a - t type convexity and concavity , the sufficient and necessary conditions for existence and uniqueness of their fixed points are given by introducing the concept of ? adjoint sequence " . for a class of sublinear mixed monotone operators , the sufficient and necessary conditions for existence and uniqueness of their fixed points are also given by using diagonal process with double - lower ordinate arrangement . and a cl ass of mixed monotone operators with ( a , / 3 ) type convexity and concavity is also studied through some proper transforms , the sufficient and necessary conditions for existence and uniqueness of their fixed points are also given under certain conditions
通过运用锥理论，采用上下解方法、单调迭代技巧等讨论了一类? t型凹凸的混合单调算子，给出了其存在唯一不动点的充分必要条件，含盖了相关文献的部分工作，所给的充要条件弥补了以往只给出充分条件的局限性，对文献中的相关工作做了本质性的改进；对于广义? t型凹凸混合单调算子，通过引入“伴随列”的概念，也给出了其存在唯一不动点的充分必要条件；对于次线性混合单调算子，通过运用双下标排列的对角线方法，也给出了其存在唯一不动点的充分必要条件；通过适当的变换技巧，讨论了( ， )型凹凸混合单调算子，在一定的条件下，给出了其存在唯一不动点的充分必要条件。