Perturbed algorithms for solving nonlinear relaxed cocoercive operator equations with general A-monotone operators in Banach spaces

2011 ◽  
Vol 16 (10) ◽  
pp. 3923-3932 ◽  
Author(s):  
Le-cai Cai ◽  
Heng-you Lan ◽  
Yunzhi Zou
Keyword(s):  
Banach Spaces ◽  
Monotone Operators ◽  
Operator Equations ◽  
Cocoercive Operator

scholarly journals Iterative Solution for Systems of a Class of Abstract Operator Equations in Banach Spaces and Application

2020 ◽  
Vol 2020 ◽  
pp. 1-7
Author(s):  
Hua Su
Keyword(s):  
Differential Equations ◽  
Banach Spaces ◽  
Unique Solution ◽  
Existence And Uniqueness ◽  
Nonlinear Differential Equations ◽  
Iterative Solution ◽  
Order Method ◽  
Operator Equations ◽  
Abstract Operator ◽  
Uniqueness Of A Solution

In this paper, by using the partial order method, the existence and uniqueness of a solution for systems of a class of abstract operator equations in Banach spaces are discussed. The result obtained in this paper improves and unifies many recent results. Two applications to the system of nonlinear differential equations and the systems of nonlinear differential equations in Banach spaces are given, and the unique solution and interactive sequences which converge the unique solution and the error estimation are obtained.

Sign in / Sign up

Export Citation Format

Share Document