Perturbed Ishikawa type iterative algorithm for generalized quasivariational inclusions

摘要

In this paper, a perturbed Ishikawa type iterative algorithm of solving a new class of generalized nonlinear implicit quasivariational inclusions are suggested and analysed. First, an existence theorem of solutions for generalized nonlinear implicit quasivariational inclusion is proved under suitable assumptions. Then, the convergence of the perturbed Ishikawa type iterative sequences generated by the new algorithm is proved. As special cases, some known results are also discussed.