H-Accretive operators and resolvent operator technique for solving variational inclusions in Banach spaces

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In this paper, we first introduce a new class of generalized accretive operators named H-accretive operators in Banach spaces. By studying the properties of H-accretive operators, we extend the concept of resolvent operators associated with the classical m-accretive operators to the new H-accretive operators. In terms of the new resolvent operator technique, we give the approximate solution for a class of variational inclusions involving H-accretive operators in Banach spaces.