set-valued relaxed pseudocontractive mappings
set-valued \(H_h\)-strongly monotone mappings
On set-valued relaxed accretive mappings and nonlinear variational inclusions with \(H_h\)-strongly monotone mappings
In this paper, the authors consider some new classes of nonlinear set-valued mappings (such as relaxed accretive, relaxed pseudocontractive) and discuss the single-valuedness of these types of mappings in Banach spaces. Then, some iterative algorithms (such as Mann iteration method with errors, implicit Mann iteration method, implicit iteration method) are applied to a nonlinear variational inclusion and to nonlinear resolvent equations in Hilbert spaces.
scientific article; zbMATH DE number 6212291