The purpose of this work is to establish the weak convergence results of the generalized Mann iterates for finding coincidence points of two self maps satis- fying certain conditions in Banach spaces. An appli- cation of our results to the approximation of a solu- tion of certain nonlinear operator equation with pseu- domonotone operator is also given. Such problems arise in the description of steady state filtration pro- cesses. The results generalizes the corresponding the- orems in [12].

The purpose of this work is to establish the weak convergence results of the generalized Mann iterates for finding coincidence points of two self maps satis- fying certain conditions in Banach spaces. An appli- cation of our results to the approximation of a solu- tion of certain nonlinear operator equation with pseu- domonotone operator is also given. Such problems arise in the description of steady state filtration pro- cesses. The results generalizes the corresponding the- orems in [12].

The main aim of this paper is to present the concept of general Mann type doubly sequence iteration process with errors to approximate fixed points. We prove that the general Mann type doubly sequence iteration process with errors converges strongly to a coincideness point of two continuous pseudo-contractive mappings both of them which maps a bounded closed convex nonempty subset of a real Hilbert space into itself. Moreover, we discuss equivalence from the S,T-stability point of view under certain restrictions between general Mann type doubly sequence iteration process with errors and general Ishikawa iterations with errors. An application is also given to support our idea using compatible-type of mappings.