Halpern type proximal point algorithm of accretive operators

Abstract: The main objectives of this paper are to employ a new proof technique to prove the strong convergence of and , defined respectively by to some zero of accretive operator in a uniformly convex Banach space with a uniformly Gâteaux differentiable norm (or with a weakly continuous duality mapping ) whenever and are sequences in and satisfying the conditions: , , ,. [Copyright &y& Elsevier]