On a class of generalized nonlinear implicit quasivariational inclusions

In this paper, a new class of generalized nonlinear implicit quasivariation al inclusions involving a set-valued maximal monotone wrapping are studied. A existence theorem of solutions for this class of generalized nonlinear i mplicit quasivariational inclusions is Proved without compactness assumptio ns. A new iterative algorithm for finding approximate solutions of the gene ralized nonlinear implicit quasivariational inclusions is suggested and ana lysed and the convergence of iterative sequence generated by the new algori thm is also given, As special cases, some known results in this field are a lso discussed.