Iterative Approximation Problem Of Variational Inclusions In Banach Spaces

It is well-known that variational inclusions are an important generalization of variational inequalities. On the basis of many authors' research, the purpose of this thesis is to discuss the existence, uniqueness and iterative approximation of solutions to nonlinear variational inclusions.There are four chapters in this thesis. In chapter one, the author introduces the background of variational inclusions and the main work of this thesis. In chapter two, iterative approximation of solutions for a class of variational inclusions with generalized Lipschitzian and k-subaccretive type mappings is discussed. In chapter three, the sufficient conditions for strong convergence of Ishikawa iterative sequences of variational inclusions with (?)-strong accretive type mappings are established. In chapter four, the existence of solutions and approximation with three-step iterative procedure with errors for k-strongly accretive type variational inclusions are established.