two step size algorithms for strong convergence for a monotone operator in banach spaces

For $pgeq 2$, let $e$ be a $2$ uniformly smooth and $p$ uniformly convex real banach spaces and let a mapping $displaystyle phi : e to e^{*}$ be lipschitz, and  strongly monotone such that $displaystyle phi^{-1}(0)neq emptyset$. for an arbitrary $({xi_{1}}, {psi_{1}})in e$, we define the sequences ${xi_{n}}$ and ${psi_{n}}$ bybegin{equation*}    left{      begin{array}{ll}         psi_{n+1} = j^{-1}(jxi_{n} - theta_{n}phixi_{n}), hbox{$ngeq 0$}          xi_{n+1} = j^{-1}(jpsi_{n+1} - lambda_{n}phipsi_{n+1}), hbox{$ngeq 0$}       end{array}    right.end{equation*}where $lambda_{n}$ and $theta_{n}$ are positive real number and $j$ is the duality mapping of $e$. letting $(lambda_{n}, theta_{n})in (0,lambda_{p})$ where $lambda_{p} >0$, then $xi_{n}$  and $psi_{n}$ converges strongly to $xi^{*}$,   a unique solution of the equation $phi xi = 0$.