Ioannis K. Argyros, Santhosh George, Shobha M. Erappa, Expanding the applicability of the generalized Newton method for generalized equations, Vol. 2017 (2017), Article ID 12, pp. 1-12

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DOI: 10.23952/cot.2017.12

Received June 17, 2016; Accepted December 4, 2016; Published January 12, 2017

Abstract. In this paper, we consider a generalized Newton method for solving the generalized equation $0\in F(x^*)+T(x^*)$ , where F is Frechet 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.

How to Cite this Article:

Ioannis K. Argyros, Santhosh George, Shobha M. Erappa, Expanding the applicability of the generalized Newton method for generalized equations, Communications in Optimizational Theory, Vol. 2017 (2017), Article ID 12, pp. 1-12.