A new class of generalized nonlinear multi-valued quasi-variational-like inclusions with H-monotone mappings
Yeol Je Cho, Heng-you Lan · Mathematical Inequalities & Applications · 2007
In this paper, we introduce and study a new class of generalized nonlinear multi-valued quasi-variational-like inclusions with H -monotone operators in Hilbert spaces. By using the resolvent operator method associated with H -monotone operator due to Fang and Huang, we construct a new iterative algorithm for solving this kind of nonlinear multi-valued variational inclusions. We also prove the existence of solutions for the nonlinear multi-valued variational inclusions and the convergence of iterative sequences generated by the algorithm. Our results improve and generalize many known corresponding results.