Results 51 to 60 of about 84 (78)

Some variants of contraction principle, generalizations and applications: Dedicated to Professor Gheorghe Coman on the occasion of his 80th anniversary

open access: yes, 2016
In this paper we present the following variant of contraction principle: \noindent\underline{Saturated principle of contraction}. Let $(X,d)$ be a complete metric space and $f:X\to X$ be an $l$-contraction. Then we have: \begin{itemize} \item [$(i)$] $F_{
RUS, Ioan A.
core  

On the Monotone Convergence of Implicit Newton-like Methods

open access: yes, 1996
. In this study, we examine the convergence of implicit Newton-like methods to a solution of a nonlinear equation on a partially ordered topological space.
Ioannis K. Argyros
core  

Sufficient conditions for the convergence of iterations to points of attraction in Banach space

open access: yes, 1996
. In this study we provide weak sufficient conditions for the convergence of iterations to points of attraction in Banach space. Our results are used to show existence and uniqueness of solutions of nonlinear equations.
Ioannis K. Argyros
core  
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A Survey of Numerical Methods for Solving Nonlinear Integral Equations

Journal of Integral Equations and Applications, 1992
Kendall E Atkinson
exaly  

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