A Kantorovich-type convergence analysis of the Newton–Josephy method for solving variational inequalities

Abstract  We present a Kantorovich-type semilocal convergence analysis of the Newton–Josephy method for solving a certain class of variational
inequalities. By using a combination of Lipschitz and center-Lipschitz conditions, and our new idea of recurrent functions,
we provide an analysis with the following advantages over the earlier works (Wang 2009, Wang and Shen, Appl Math Mech 25:1291–1297, 2004) (under the same or less computational cost): weaker sufficient convergence conditions, larger convergence domain, finer
error bounds on the distances involved, and an at least as precise information on the location of the solution.

• Content Type Journal Article
• Category Original Paper
• DOI 10.1007/s11075-010-9364-2
• Authors
  
  
  • Ioannis K. Argyros, Cameron University Department of Mathematics Sciences Lawton OK 73505 USA
  • Saïd Hilout, Poitiers University Laboratoire de Mathématiques et Applications Bd. Pierre et Marie Curie, Téléport 2 B.P. 30179 86962 Futuroscope Chasseneuil Cedex France
  
  

• Journal Numerical Algorithms
• Online ISSN 1572-9265
• Print ISSN 1017-1398




• Journal Volume Volume -1




• Journal Issue Volume -1, Online First / January, 2010

Published by

Original source : http://www.springerlink.com/content/b10588k5g45x51...