A Quasi-Newton method for solving generalized equations by using a Kantorovich approach
摘要
Inspired by the work of Dontchev (Lectures in Applied Mathematics, vol. 32, 1996) and Rokne (Numer. Math., 18, 401–412, 1971), we study the solvability of generalized equations in Banach spaces using a Kantorovich-like technique. In particular, we extend in part the results of Dontchev and Rokne, by assuming a kind of Hölder condition. Numerical examples are provided to justify the theoretical results.