![Perturbed Iterative Approximation of Solutions for Nonlinear General <inline-formula> <graphic file="1029-242X-2009-290713-i1.gif"/></inline-formula>-Monotone Operator Equations in Banach Spaces](/en/item/26268401/Perturbed-Iterative-Approximation-of-Solutions-for-Nonlinear-General-lessinline-formulagreater-lessgraphic-file"1029-242X-2009-290713-i1.gif"greaterlessinline-formulagreater-Monotone-Operator-Equations-in-Banach-Spaces){kind=link}
Add to ORKGABSTRACT. In this paper, by virtue of the Mann iterative technique, we introduce and study a class of systems of nonlinear equations without any mixed monotone property and continuity, and prove the existence, uniqueness and Mann iterative approximation theorems of solutions for systems of nonlinear operator equations. The results presented in this paper improve and generalize the corresponding results of the earlier and recent works
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We study the existence and uniqueness of positive solution for a class of nonlinear binary operator ...
Finding the solutions of nonlinear operator equations has been a subject of research for decades but...
By using the iterative technique and Nadler's theorem, we construct a new iterative algorithm for so...
In this paper, by using the partial order method, the existence and uniqueness of a solution for sys...
We introduce and study a new class of nonlinear general -monotone operator equations with multival...
The existence and uniqueness for solution of systems of some binary nonlinear operator equations are...
Solving nonlinear equations in Banach spaces (real or complex nonlinear equations, nonlinear systems...
Abstract. In 1994 Z.Liang constructed an iterative method for the solution of nonlinear equations in...
AbstractWe study a nonlinear operator equation and obtain a sequence of approximate solutions by ext...
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AbstractWe introduce a new family of multipoint methods to approximate a solution of a nonlinear ope...
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In this work we study a class of secant-like iterations for solving nonlinear equations in Banach sp...
Based upon an external approximation scheme for the underlying Banach space, a nonlinear operator eq...
The semilocal and local convergence analyses of a two-step iterative method for nonlinear nondiffere...
We study the existence and uniqueness of positive solution for a class of nonlinear binary operator ...
Finding the solutions of nonlinear operator equations has been a subject of research for decades but...
By using the iterative technique and Nadler's theorem, we construct a new iterative algorithm for so...