A fixed point theorem for a class of differentiable stable operators in Banach spaces

<p>We study Fréchet differentiable stable operators in real Banach spaces. We present the theory of linear and nonlinear stable operators in a systematic way and prove solvability theorems for operator equations with differentiable expanding operators. In addition, some relations to the theory...

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Bibliographic Details
Format: Article
Language:English
Published: SpringerOpen 2006-01-01
Series:Fixed Point Theory and Applications
Online Access:http://www.hindawi.com/GetArticle.aspx?doi=10.1155/FPTA/2006/92429