Fixed point of strictly pseudocontractive mapping in real hilbert space

It is known that strictly pseudocontractive mappings have more powerful applications than nonexpansive mappings in solving inverse problems. In this paper, we devote to study computing the fixed points of strictly pseudocontractive mappings The purpose of this paper is to study the existence of uniqueness of fixed point for a class of nonlinear mappings defined on real Hilbert space, which among others, contains the class of set of contractive mappings.