Approximation Solutions for Generalized Mulit-Valued Variational-Like Inclusions with(G,η)-Monotone Mappings
Honggang Li · Journal of Jishou University · 2009
The authors introduce and study a new class of generalized mulit-valued variational-like inclusions with(G,η)-monotone mappings in Hilbert spaces.By using the resolvent operator associated with(G,η)-monotone mappings,an existence theorem of solutions for this kind of variational inclusions is estaslished a new approximation algorithm is suggested,and the convergence of iterative sequences generated by the algorithm is proved.The results presented in this paper generalize,improve,and unify some recent results in this field.