余强制映射的广义半闭性原理及应用

Generalized semi-closedness principle for coercive mappings and its applications

半闭性原理是研究迭代方法收敛性的有力工具.为了提供这个原理的扩展,将余强制映射的半闭性原理推广到了更广的空间并改进了收敛条件,使其适用范围更广.应用推广后的原理,进一步得到了稳定非扩张映射的广义半闭性原理和平衡余强制映射的广义半闭性原理.

Semi-closedness principle is a powerful tool in the study of convergence of iterative methods.In order to provide extensions of this principle,the principle for coercive mappings is extended to a wider space,and the convergence conditions are improved to enlarge its applicability.By applying the generalized principle,the generalized semi-closedness principle for firmly non-expansive mappings and semi-closedness principle for balanced coercive mappings are both obtained.