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On the convergence of inexact two-point Newton-like methods on Banach spaces
We present a unified convergence analysis of Inexact Newton like methods in order to approximate a locally unique solution of a nonlinear operator equation containing a nondifferentiable term in a Banach space setting. The ...
Extending the convergence domain of the Secant and Moser method in Banach Space
We present a new semilocal convergence analysis for the Secant and the Moser method in order to approximate a solution of an equation in a Banach space setting. Using the method of recurrent relations and weaker sufficient ...
Improved semilocal convergence analysis in Banach space with applications to chemistry
We present a new semilocal convergence analysis for Secant methods in order to approximate a locally unique solution of a nonlinear equation in a Banach space setting. Our analysis includes the computation of the bounds ...
Unbounded state-dependent sweeping processes with perturbations in uniformly convex and q-uniformly smooth banach spaces
(Amer INST. mathematical sciences-AIMS, 2018-03)
In this paper, the existence of solutions for a class of first and second order unbounded state-dependent sweeping processes with perturbation in uniformly convex and q-uniformly smooth Banach spaces are analyzed by using ...
Uma introdução ao estudo de espaços métricos e normados
(Universidade Federal de UberlândiaBrasilMatemática, 2021)
Continuous dependence on parameters
(2021-01-01)
This chapter aims to investigate the results on continuous dependence on parameters for generalized ordinary differential equations (ODEs) taking values in a Banach space. It includes a new result on the convergence of ...
The approximation property for spaces of holomorphic functions on infinite-dimensional spaces I
(Academic Press Inc Elsevier ScienceSan DiegoEUA, 2004)
Funciones regulares en el plano y operadores de NemytskiiRegularized functions on the plane and nemytskii operators
(2014-01-01)
En este artículo mostramos que el espacio de las llamadas funciones regularizadas definidas sobre algún rectángulo del plano es un espacio de Banach. Más aún, bajo las hipótesis adecuadas damos condición necesaria ...
Funciones regulares en el plano y operadores de NemytskiiRegularized functions on the plane and nemytskii operators
(2014-01-01)
En este artículo mostramos que el espacio de las llamadas funciones regularizadas definidas sobre algún rectángulo del plano es un espacio de Banach. Más aún, bajo las hipótesis adecuadas damos condición necesaria ...