An inverse mapping theorem for set-valued maps
An inverse mapping theorem for set-valued maps
We prove that certain Lipschitz properties of the inverse <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="upper F Superscript negative 1"> <mml:semantics> <mml:mrow class="MJX-TeXAtom-ORD"> <mml:msup> <mml:mi>F</mml:mi> <mml:mrow class="MJX-TeXAtom-ORD"> <mml:mo>−<!-- − --></mml:mo> <mml:mn>1</mml:mn> </mml:mrow> </mml:msup> </mml:mrow> <mml:annotation encoding="application/x-tex">{F^{ - 1}}</mml:annotation> </mml:semantics> </mml:math> </inline-formula> of a set-valued map <italic>F</italic> are inherited by the map <inline-formula …