On three-step iterative schemes associated with general quasi-variational inclusions

Abstract

In this paper, we investigate new classes of general quasi-variational inclusions. In this regard, we prove that general quasi-variational inclusions and fixed point problems are equivalent. This equivalence is useful in the study on the existence of a solution as well as to propose some iterative methods. Moreover, under suitable conditions, we formulate and prove some convergence results. The main results derived in this paper continue to be true for quasi-variational and variational inequalities, or related problems, since the general quasi-variational inclusions include these problems.

Keywords

• Variational methods
• Iterative schemes