Iterative methods for solving linear operator equations in Banach spaces

Iterative methods for solving the linear operator equation $Ax=y$ with $B$-symmetric $B$-positive operator acting from a Banach space $X$ to a Banach space $Y$ are considered. The space $X$ is assumed to be uniformly convex and smooth, whereas $Y$ is an arbitrary Banach space. The cases of exact and disturbed data are considered and the strong (norm) convergence of the iterative processes is proved.