East Asian mathematical journal
- Volume 23 Issue 2
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- Pages.261-270
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- 2007
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- 1226-6973(pISSN)
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- 2287-2833(eISSN)
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)
- Published : 2007.09.30
Abstract
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].
Keywords
- Banach space;
- Secant-like method;
- generalized equation;
- Aubin continuity;
- ratio of convergence;
- divided difference;
- set-valued map