Based On The Resolvent Operator Technique Of Generalized Set-valued Variational Inclusions And Set-valued Quasi Variational Inclusions,

In this paper, we extend the concept of m-accretive operators in Banach Spaces. by using the resolvent operator technique,we study the generalized set-valued variational inclusions and set-valued quasi variational inclusions in Banach Spaces.In chapter two ,we define a new class of generalized accretive operators named m-μ-relaxed accretive operators in Banach Spaces. By studying the properties of m -μ-relaxed accretive operators, we construct the resolvent operators associated with m -μ-relaxed accretive operators. In terms of the new resolvent operator technique ,we give the iterative algorithm and approximate solution for the generalized set-valued variational inclusions in Banach Spaces.In chapter three, we define a class of more generalized accretive operators named H-μ-relaxed accretive operators in Banach Spaces. By studying the properties of H-μ-relaxed accretive operators, we construct the resolvent operators associated with H -μ-relaxed accretive operators. In terms of the new resolvent operator technique ,we give the iterative algorithm and approximate solution for the set-valued quasi variational inclusions in Banach Spaces.