Nachi, Khadra; Penot, Jean-Paul Inversion of multifunctions and differential inclusions. (English) Zbl 1158.47316 Control Cybern. 34, No. 3, 871-901 (2005). Summary: We present a new inverse mapping theorem for correspondences. It uses a notion of differentiability for multifunctions which seems to be new. We compare it with previous versions. We provide an application to differential inclusions. Cited in 1 ReviewCited in 10 Documents MSC: 47J07 Abstract inverse mapping and implicit function theorems involving nonlinear operators 47H04 Set-valued operators 49J53 Set-valued and variational analysis 34A60 Ordinary differential inclusions 47N20 Applications of operator theory to differential and integral equations Keywords:inverse function theorem; multi-valued functions; differentiability; derivative; differential inclusion; multimapping; inverse mapping; implicit function; set-valued maps PDFBibTeX XMLCite \textit{K. Nachi} and \textit{J.-P. Penot}, Control Cybern. 34, No. 3, 871--901 (2005; Zbl 1158.47316) Full Text: EuDML Link