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" X -> Y, where X is a Banach space and Y is a normed linear space. "
Nonsmooth Variational Problems and Their Inequalities: Comparison Principles ... - Page 14
by Siegfried Carl, Vy Khoi Le, Dumitru Motreanu - 2007 - 398 pages
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Analysis for Applied Mathematics

Ward Cheney - Mathematics - 2001 - 628 pages
...Prove Theorem 2. 5. Let / : Q — > y be a continuously differentiable map, where f! is an open set in a Banach space, and Y is a normed linear space. Assume that /'(x) is invertible for each x € fJ, and prove that /(fi) is open. 6. Let a be the point in [0, 1]...
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