NONLINEAR INCLUSION PROBLEMS FOR ORDERED RME SET-VALUED MAPPINGS IN ORDERED HILBERT SPACES
Honggang Li · Nonlinear functional analysis and applications · 2013
A class of nonlinear inclusion problems for ordered RME set-valued mappings are introduced and studied in ordered Hilbert spaces. By using the resolvent operator as-sociated with RME set-valued mappings, an existence theorem of solutions for this kinds of nonlinear inclusion problems for ordered extended set-valued mappings is established, an approximation algorithm is suggested, and the relation between the ¯rst valued x_0 and a solution in the nonlinear inclusion problems is discussed. In this eld, the results in the instrument are obtained.