The secant method for nondifferentiable operators

被引:40
作者
Hernández, MA [1 ]
Rubio, MJ [1 ]
机构
[1] Univ La Rioja, Dept Math & Computat, Logrono 26004, Spain
关键词
the Secant method; recurrence relations; nondifferentiable operator;
D O I
10.1016/S0893-9659(01)00150-1
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, we use the Secant method to find a solution of a nonlinear operator equation in Banach spaces. A semilocal convergence result is obtained. For that, we consider a condition for divided differences which generalizes the usual ones, i.e., Lipschitz continuous or Holder continuous conditions. Besides, we apply our results to approximate the solution of a nonlinear equation. (C) 2002 Elsevier Science Ltd. All rights reserved.
引用
收藏
页码:395 / 399
页数:5
相关论文
共 6 条
  • [1] [Anonymous], 1984, NONDISCRETE INDUCTIO
  • [2] Argyros I. K., 1993, TAMKANG J MATH, V24, P251
  • [3] THE SECANT METHOD AND FIXED-POINTS OF NONLINEAR OPERATORS
    ARGYROS, IK
    [J]. MONATSHEFTE FUR MATHEMATIK, 1988, 106 (02): : 85 - 94
  • [4] ARGYROS IK, 1993, PUBL MATH-DEBRECEN, V43, P223
  • [5] POTRA FA, 1981, APL MAT, V26, P111
  • [6] Schmidt J.W., 1974, PERIOD MATH HUNG, V5, P187