Iterative methods for solving fixed-point problems with nonself-mappings in Banach spaces

[摘要] We study descent-like approximation methods and proximal methods of the retraction type for solving fixed-point problems withnonself-mappings in Hilbert and Banach spaces. We prove strongand weak convergences for weakly contractive and nonexpansivemaps, respectively. We also establish the stability of thesemethods with respect to perturbations of the operators and theconstraint sets.

[学科分类] 数学（综合）