An implicit function theorem without differentiability
An implicit function theorem without differentiability
We combine a “global” version of the classical inverse function theorem with Schauder’s fixed point theorem to investigate the existence and continuity properties of a function <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="left-parenthesis upper F comma x right-parenthesis right-arrow eta left-parenthesis upper F comma x right-parenthesis"> <mml:semantics> <mml:mrow> <mml:mo stretchy="false">(</mml:mo> <mml:mi>F</mml:mi> <mml:mo>,</mml:mo> …