On Generalized Fuzzy Variational Inclusion Problem Involving Ordered RME Set-Valued Mapping

摘要

In this paper, we consider a generalized fuzzy variational inclusion problem involving ordered RME set-valued mapping in ordered Hilbert spaces. By using the relaxed resolvent operator and its properties, we construct a new iterative algorithm. Finally, both the existence of the solution of the original problem and the convergence of the iterative sequences generated by algorithm are proved. Our results extend and improve many results in the literature.