摘要
关于非单调算子方程x=Ax的迭代求解问题,文进行了研究,得到了一些深刻的结果,但是所利用的条件在应用中是难以满足的;另一方面,中定理5的条件太强。本文利用锥理论继续研究方程的迭代求解问题,改进了已知结果,并把所得结果应用到Banach空间中非线性Volterra型积分方程。
Using the cone theory, an existence and uniqueness theorem of solutions of non-monotone operator equations is obtained, which improve the main results obtsined by Sun[1] and Throrem 5 in [2]. Finally, we apply our results to nonlinear integral equation of Volterra type.
出处
《工程数学学报》
CSCD
1992年第4期115-118,共4页
Chinese Journal of Engineering Mathematics
