A Semilocal Convergence of a Secant–Type Method for Solving Generalized Equations |
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| Authors: | Said Hilout Alain Piétrus |
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| Institution: | 1. Département de Mathématiques Appliquées et Informatique, Faculté des Sciences et Techniques, ?, BP 523, 23000, Béni–Mellal, Maroc
2. Laboratoire Analyse Optimisation Contr?le, Département de Mathématiques et Informatique, Université des Antilles et de la Guyane, Campus de Fouillole, F–97159, Pointe–à–Pitre, France
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| Abstract: | In this paper we present a study of the existence and the convergence of a secant–type method for solving abstract generalized
equations in Banach spaces. With different assumptions for divided differences, we obtain a procedure that have superlinear
convergence. This study follows the recent results of semilocal convergence related to the resolution of nonlinear equations
(see 11]) |
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| Keywords: | 47H04 65K10 |
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