The convergence of the method of successive approximations is usually studied by the fixed point theorem. An alternative to this theorem is given in this work, where a contraction mapping is not necessary. An application to nonlinear integral equations of Fredholm type and second kind is also presented
AbstractThe iterative method of successive approximations, originally introduced by Émile Picard in ...
ABSTRACT In this paper, we shall establish a fixed point theorem in G- metric space by using Picard...
In the class of quasi-contractive operators satisfying Zamfirescu's conditions, the most used fixed ...
The convergence of the method of successive approximations is usually studied by the fixed point the...
To solve by successive approximation nonlinear equations of the form F(x)=0, where F:XX, is an opera...
AbstractIt is demonstrated that Picard's successive approximation provides a simple and efficient me...
The aim of this monograph is to give a unified introductory treatment of the most important iterativ...
This research was supported in part by Research Grant RG/MATHS/AF/AC No.97-210 from the Third World ...
The authors present a method of numerical approximation of the fixed point of an operator, specific...
We are concerning with two analytical methods; the classical method of successive approximations (Pi...
This paper is devoted to investigating the fractional order of con-vergence of operator iteration sc...
Some examples are given to illustarte that the characterization in [8] for the convergence of Picard...
AbstractThe celebrated Banach fixed point theorem provides conditions which assure that the method o...
In the class of quasi-contractive operators satisfying Zamfirescu’s conditions, the most used fixed ...
In this paper, we give a semi-local convergence result for an iterative process of Newton-Kantorovic...
AbstractThe iterative method of successive approximations, originally introduced by Émile Picard in ...
ABSTRACT In this paper, we shall establish a fixed point theorem in G- metric space by using Picard...
In the class of quasi-contractive operators satisfying Zamfirescu's conditions, the most used fixed ...
The convergence of the method of successive approximations is usually studied by the fixed point the...
To solve by successive approximation nonlinear equations of the form F(x)=0, where F:XX, is an opera...
AbstractIt is demonstrated that Picard's successive approximation provides a simple and efficient me...
The aim of this monograph is to give a unified introductory treatment of the most important iterativ...
This research was supported in part by Research Grant RG/MATHS/AF/AC No.97-210 from the Third World ...
The authors present a method of numerical approximation of the fixed point of an operator, specific...
We are concerning with two analytical methods; the classical method of successive approximations (Pi...
This paper is devoted to investigating the fractional order of con-vergence of operator iteration sc...
Some examples are given to illustarte that the characterization in [8] for the convergence of Picard...
AbstractThe celebrated Banach fixed point theorem provides conditions which assure that the method o...
In the class of quasi-contractive operators satisfying Zamfirescu’s conditions, the most used fixed ...
In this paper, we give a semi-local convergence result for an iterative process of Newton-Kantorovic...
AbstractThe iterative method of successive approximations, originally introduced by Émile Picard in ...
ABSTRACT In this paper, we shall establish a fixed point theorem in G- metric space by using Picard...
In the class of quasi-contractive operators satisfying Zamfirescu's conditions, the most used fixed ...
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