NONLINEAR INCLUSION PROBLEMS FOR ORDERED RME SET-VALUED MAPPINGS IN ORDERED HILBERT SPACES
Abstract
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.
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.
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ISSN: 1229-1595 (Print), 2466-0973 (Online)
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