Article ID: | iaor20134189 |
Volume: | 158 |
Issue: | 1 |
Start Page Number: | 216 |
End Page Number: | 233 |
Publication Date: | Jul 2013 |
Journal: | Journal of Optimization Theory and Applications |
Authors: | Wu S, Rashid M, Yu S, Li C |
Keywords: | Newton method, global convergence, Banach space, mapping |
We introduce in the present paper a Gauss–Newton‐type method for solving generalized equations defined by sums of differentiable mappings and set‐valued mappings in Banach spaces. Semi‐local convergence and local convergence of the Gauss–Newton‐type method are analyzed.