Splitting-midpoint method for zeros of the sum of accretive operator and μ-inversely strongly accretive operator in a q-uniformly smooth Banach space and its applications

Convergence theorems of iterative approximation for finding zeros of accretive operator and fixed points problems

In this paper we propose and studied a new composite iterative scheme with certain control con-ditions for viscosity approximation for a zero of accretive operator and xed points problems in areflexive Banach space with weakly continuous duality mapping. Strong convergence of the sequencefxng dened by the new introduced iterative sequence is proved. The main results improve andcomplement the co...

Approximating Solutions for the System of -strongly Accretive Operator Equations in Reflexive Banach Space

The purpose of this paper is to study a strong convergence of multi-step iterative scheme to a common solution for a finite family of strongly accretive operator equations in a reflexive Banach space with weakly continuous duality map. As a consequence, the strong convergence theorem for the multi-step iterative sequence to a common fixed point for finite family of strongly pseudocontractive ma...

General System for Strongly Accretive Nonlinear Variational Inequalities in q−Uniformly Smooth Banach Spaces

The approximate solvability of a generalized system for strongly accretive nonlinear variational inequalities in q−uniformly smooth Banach spaces is studied, based on the convergence of sunny nonexpansive retraction projection methods. The results presented in this paper extend and improve the main results of R.U.Verma[General convergence analysis for two-step projection methods and application...

Existence and Iterative Approximations of Solution for Generalized Yosida Approximation Operator

In this paper, we introduce and study a generalized Yosida approximation operator associated to H(·, ·)-co-accretive operator and discuss some of its properties. Using the concept of graph convergence and resolvent operator, we establish the convergence for generalized Yosida approximation operator. Also, we show an equivalence between graph convergence for H(·, ·)-co-accretive operator and gen...

A three-step iterative scheme for solving nonlinear φ-strongly accretive operator equations in Banach spaces