论文标题
关于hammerstein类型方程溶液的广义φ巧妙的单调映射和算法
On generalized Φ-strongly monotone mappings and algorithms for the solution of equations of Hammerstein type
论文作者
论文摘要
在本文中，我们考虑了一类广义的φ巧妙的单调映射以及近似于Hammerstein类型方程的方法的方法。辅助映射定义为Hammerstein类型的非线性积分方程。辅助映射是满足范围条件的有界广义单调映射的有界广义单调映射的组成。施加了适当的条件以获得界限，并表明辅助映射是满足范围条件的广义φ的广义。构建了一个序列，并表明它强烈收敛到Hammerstein类型方程的解决方案。本文中的结果改善并扩展了有关Hammerstein类型方程解的近似值的最新相应结果。
In this paper, we consider the class of generalized Φ-strongly monotone mappings and the methods of approximating a solution of equations of Hammerstein type. Auxiliary mapping is defined for nonlinear integral equations of Hammerstein type. The auxiliary mapping is the composition of bounded generalized Φ-strongly monotone mappings which satisfy the range condition. Suitable conditions are imposed to obtain the boundedness and to show that the auxiliary mapping is a generalized Φ-strongly which satisfies the range condition. A sequence is constructed and it is shown that it converges strongly to a solution of equations of Hammerstein type. The results in this paper improve and extend some recent corresponding results on the approximation of a solution of equations of Hammerstein type.
