Ivar Ekeland, Éric Séré
Abstract
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In this paper we prove a local surjection theorem with continuous right-inverse for maps between Banach spaces, and we apply it to a class of inversion problems with loss of derivatives.
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In this paper we prove a local surjection theorem with continuous right-inverse for maps between Banach spaces, and we apply it to a class of inversion problems with loss of derivatives.
Key concepts: Surjective function, Mathematics, Banach space, Eberlein–Šmulian theorem, Bounded inverse theorem, Inverse, Pure mathematics, Inversion (geology)