Extended semilocal convergence analysis of a two-step Newton method under L -average conditions

  • Christopher Argyros Cameron University, Lawton, OK 73505, USA,
  • Michael Argyros Cameron University, Lawton, OK 73505, USA,
  • Ioannis K. Argyros Cameron University, Lawton, OK 73505, USA
  • Stepan M. Shakhno Ivan Franko National University of Lviv
  • Halyna Yarmola Ivan Franko National University of Lviv, Lviv, Ukraine

Abstract

We present an extended semilocal convergence analysis for a two-step Newton method under L-average continuity conditions to solve Banach space valued operator equations. Convergent majorizing sequences are constructed and the results of numerical experiments are given.

Published
2022-11-21