East Asian mathematical journal

  • 제23권2호
  • /
  • Pages.261-270
  • /
  • 2007
  • /
  • 1226-6973(pISSN)
  • /
  • 2287-2833(eISSN)
영남수학회 (The Youngnam Mathematical Society)
권호 표지

AN IMPROVED LOCAL CONVERGENCE ANALYSIS FOR SECANT-LIKE METHOD

  • Argyros, Ioannis K. (Cameron university Department of Mathematics Sciences) ;
  • Hilout, Said (Faculty of Science & Technics of Beni-Mellal Department of Applied Mathematics & Computation)
  • 발행 : 2007.09.30
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초록

We provide a local convergence analysis for Secant-like algorithm for solving nonsmooth variational inclusions in Banach spaces. An existence-convergence theorem and an improvement of the ratio of convergence of this algorithm are given under center-conditioned divided difference and Aubin's continuity concept. Our result compare favorably with related obtained in [16].

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