General iterative scheme for finding attractive points of (α,β)-mildly hybrid set-valued mappings in Banach spaces
Wang Qianwen, Wei Qiu-hong, Zeng Liuchuan · DOAJ (DOAJ: Directory of Open Access Journals) · 2018
In this paper,we first introduce the concepts of (α, β)-mildly hybrid set-valued mappings and condition I*,and then propose a general iterative method for finding attractive points of (α, β)-mildly hybrid set-valued mappings.Moreover,we establish strong convergence of the proposed iterative scheme for (α, β)-mildly hybrid set-valued mappings in a uniformly convex Banach space by using condition I* and demi-compact property.Our results improve and modify the corresponding ones announced by other authors in the literature.