Existence And Iterative Approximation Of Solutions For Nonlinear Variational Inclusion Problems

In this thesis, we are concerned about the existence, uniqueness, and iterative approximation of solutions to nonlinear variational inclusion problems. The variational inclusions, have not only stimulated the appearance of new results involving partial differential equations, but also have been used for solving a large variety of problems arising in mechanics, physics, engineering technology, and so on. The results presented in this paper improve and extend the earlier and recent corresponding results.There are five chapters in this thesis. In Chapter I, we introduce the background of variational inclusions and the main work of this thesis. In the following three chapters, we study the existence, uniqueness, iterative approximation for solutions to variational inclusions with Φ -strongly monotone mappings, generalized Lipschitz mappings, strongly accretive type mapping in Banach spaces, respectively.