Approximation Solution for a New Class of Generalized Nonlinear Set-Valued Ordered Inclusions Involving Binary RMESV Mappings in Ordered Hilbert Spaces

摘要

In ordered Hilbert spaces, a new class of generalized nonlinear inclusions involving binary RMESV mappings are introduced and studied. By using the resolvent operator associated with RMESV mappings, an existence theorem of solution for this kind nonlinear inclusions for ordered extended set-valued mappings is established, an approximation algorithm is suggested, and the convergence for the approximation algorithm is discussed. In this field, the results in the instrument are obtained.