Fixed Point Iterative Schemes Of K-Strict Pseudocontraction Mappings And Nonexpansive Mappings

The fixed point theory is widely applied to physics, economics and other fields. Inrecent years, iterative solution of fixed point problem of strict pseudo-contractionmapping became a hot research for many scholars. Inspired and motivated by theseresearch results, this paper is devoted to summarizing and discussing fixed pointiterative schemes of k-strict pseudocontraction mappings and nonexpansive mappings,the main work is as follows:In the first chapter,we showed the related concepts of strictly pseudo-contractivemappings and nonexpansive mappings, main contents of this article and some relatedlemmas. In the second chapter,we discussed fixed point iterative schemes of k-strictpseudo-contraction mappings and nonexpansive mappings in the Hilbert space.In thethird chapter,we discussed fixed point iterative schemes of k-strict pseudo-contractionmappings and nonexpansive mappings in the Banach space.