Expanding the applicability of the generalized newton Method for generalized equations

Argyros, Ioannis K and George, Santhosh and Erappa, Shobha M (2017) Expanding the applicability of the generalized newton Method for generalized equations. Communication in Optimization Theory. pp. 1-12. ISSN 2051-2953

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Abstract

In this paper, we consider a generalized Newton method for solving the generalized equation 0 2 F(x�)+ T(x�), where F is Fréchet differentable and T is set valued and maximal monotone. Using the center Lipschitz conditions, we prove the convergence of the method with the following advantages: tighter error estimates on the distances involved and the information on the location of the solution is at least as precise. These advantages were obtained under the same computational cost.

Item Type: Article
Uncontrolled Keywords: Generalized Newton method; Generalized equation; Generalized Lipschitz condition; Semi-local convergence.
Subjects: Engineering > MIT Manipal > Mathematics
Depositing User: MIT Library
Date Deposited: 15 Dec 2017 04:49
Last Modified: 15 Dec 2017 04:49
URI: http://eprints.manipal.edu/id/eprint/150269

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