关键词: honeycomb structure, constrain, twist, attenuation, rectangular section box bar, normal stress, shear stress, warping displacement, local strongly accretive, local strictly pseudocontractive, puniformly smooth Banach space

Abstract: In this paper, we investigate the Ishikawa iteration process in a p-uniformly smooth Banach space X. Let T: X→X be a Lipschitzian and local strongly accretive operator and the set sol(T) of solutions the equation Tx=f be nonempty. We show that soil (T) is a singleton atul the Ishikawa sequence converges strongly to the unique solution of the equation Tx=f. In addition, whenever T is a Lipschitzian and local Psendcontractive mapping from a nonempty convex subset K of X into X and the set F(T) of fixed points of T is nonempty, we prove that F(T) is a singleton and the Ishikawa sequetwe converges strongly to the unique fixed point of T. Our results are the improvements and extension of the results of Deng and Ding^[4] and Tan and Xu^[5].

Key words: honeycomb structure, constrain, twist, attenuation, rectangular section box bar, normal stress, shear stress, warping displacement, local strongly accretive, local strictly pseudocontractive, puniformly smooth Banach space