Iterative methods with mixed errors for perturbed m-accretive operator equations in arbitrary Banach spaces

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

Perturbed Iterative Approximation of Solutions for Nonlinear General A-Monotone Operator Equations in Banach Spaces

We introduce and study a new class of nonlinear general A-monotone operator equations with multivalued operator. By using Alber’s inequalities, Nalder’s results, and the new proximal mapping technique, we construct some new perturbed iterative algorithms with mixed errors for solving the nonlinear general A-monotone operator equations and study the approximationsolvability of the nonlinear oper...

On the Ishikawa iterative approximation with mixed errors for solutions to variational inclusions with accretive type mappings in Banach spaces∗

Using the new analysis techniques, the existence and iterative approximation problem of a solution for a class of nonlinear variational inclusions with accretive type mappings are discussed in arbitrary Banach spaces. The results extend and improve some recent results.

Perturbed Newton-like Methods and Nondifferentiable Operator Equations on Banach Spaces with a Convergence Structure

In this study, we use perturbed Newton-likemethodsto nd solutionsof nonlinear, nondifferentiable operator equations on Banach spaces with a convergence structure. This technique involves the introduction of a generalized norm as an operator from a linear space into a partially ordered Banach space. In this way the metric properties of the examined problem can be analyzed more precisely. Moreove...

Iterative Approximations of Zeroes for Accretive Operators in Banach Spaces

In this paper, we introduce and study a new iterative algorithm for approximating zeroes of accretive operators in Banach spaces.