On Fixed Point of F-Pseudo-contractive operator in an arbitrary Banach space and an application

The purpose of this paper is to introduce Φ-pseudo-contractive operators, to study the problems of existence, uniqueness and convergence of fixed point, and to set up a new inequality in arbitrary Banach space. As an intimately application, the iterative solution of nonlinear equation with F -accretive operator is obtained. The results presented in this paper improve, generalize and unify some corresponding results in recent literature