偏序集上拟压缩映象的一个不动点定理及应用

证明了偏序集上拟压缩映象的一个不动点定理,将偏序集上的单调映象不动点的存在性推广到拟压缩映象的情形,并应用此结果得到了在一定条件下一对耦合映射的不动点的存在性.     

若干特征条件下三次多项式型迭代方程解的性质

通过分析三次多项式型迭代方程的特征根,并利用其特征解所描述的通解一般迭代式,作者在新的特征分布下给出了连续解的若干性质.     

HYERS-ULAM-RASSIAS STABILITY FOR A MULTIVALUED ITERATIVE EQUATION

Because multifunctions do not have so good properties as single-valued functions, only the existence of solutions of the polynomial-like iterative equation of order 2 is discussed for multi functions. This article gives conditions for its Hyers-Ulam-Rassias stability. As a consequence, the authors obtain its Hyers-Ulam stability and prove that the equation has a unique multivalued solution near an approximate multivalued solution.     

一类拟线性迭代方程

给出了一类拟线性迭代方程连续解的存在性，唯一性和稳定性。