论文标题
渐近上的非跨度映射的隐式中点程序
The Implicit Midpoint Procedures for Asymptotically Nonexpansive Mappings
论文作者
论文摘要
渐近非专业映射的概念是对非专业映射类别的重要概括。隐式中点程序对于求解涉及非线性操作员的方程非常基本。本文通过隐式中点迭代程序研究了渐近上无质量映射的类别的收敛分析。通过使用众所周知的迭代算法在计算非线性映射的固定点中起着重要作用，建立了渐近非专用映射类别的必要条件。提出了一个数值示例，以说明收敛结果。在宽松的参数条件下，得出了一些算法和强烈的收敛结果，以获得文献中的一些结果。
The concept of asymptotically nonexpansive mappings is an important generalization of the class of nonexpansive mappings. Implicit midpoint procedures are extremely fundamental for solving equations involving nonlinear operators. This paper studies the convergence analysis of the class of asymptotically nonexpansive mappings by the implicit midpoint iterative procedures. The necessary conditions for the convergence of the class of asymptotically nonexpansive mappings are established, by using a well-known iterative algorithm which plays important roles in the computation of fixed points of nonlinear mappings. A numerical example is presented to illustrate the convergence result. Under relaxed conditions on the parameters, some algorithms and strong convergence results were derived to obtain some results in the literature as corollaries.
