论文标题
通过粘度迭代方法的非线性操作员方程解决方案
Solutions of Nonlinear Operator Equations by Viscosity Iterative Methods
论文作者
论文摘要
几十年来，找到非线性操作员方程的解决方案一直是研究的主题，但最近引起了很多关注。本文研究了新引入的粘度隐式迭代算法的收敛性，以在Banach空间中非专用映射的固定点。就明确阐明相关概念和分析而言，我们的技术是必不可少的。该方案可有效地获得各种非线性操作员方程的解决方案，因为它涉及广义收缩。将结果应用于获得λ-划界伪合同映射的固定点，α倾斜的单调映射的溶液以及Fredholm类型的积分方程的溶液
Finding the solutions of nonlinear operator equations has been a subject of research for decades but has recently attracted much attention. This paper studies the convergence of a newly introduced viscosity implicit iterative algorithm to a fixed point of a nonexpansive mapping in Banach spaces. Our technique is indispensable in terms of explicitly clarifying the associated concepts and analysis. The scheme is effective for obtaining the solutions of various nonlinear operator equations as it involves the generalized contraction. The results are applied to obtain a fixed point of λ-strictly pseudocontractive mappings, solution of α-inverse-strongly monotone mappings, and solution of integral equations of Fredholm type
