非线性算子方程组解的存在唯一性及其应用

Existence and Uniqueness of Solutions for Systems of Nonlinear Operator Equations with Applications

用半序的方法和锥理论,在不具有连续性和紧性的条件下讨论了Banach空间一类非单调算子方程组的解的存在唯一性及迭代收敛性,给出了此迭代的误差估计,并且应用到Hammerstein型积分方程中.

By using the partial order method and theory of cone,we discuss the existence and uniqueness of solutions for a class of systems of non-monotone operator equations without any compactness or continuity conditions in Banach space,and the iteration sequences which converge to solution of operator equations and the error estimates are given.Finally,some applications to Hammerstein integral equation are also given.