Pseudo-Jacobian and global inversion of nonsmooth mappings on Riemannian manifolds. (January 2016)

• Record Type: Journal Article
• Authors: Ghahraei, E.; Hosseini, S.; Pouryayevali, M.R.
• Is Part Of: Nonlinear analysis. Volume 130(2015)
• Page Start: 229
• Page End: 240
• Publication Date: 2016-01
• Subjects: Pseudo-Jacobian -- Global inversion -- Riemannian manifolds; Mathematical analysis -- Periodicals; Functional analysis -- Periodicals; Nonlinear theories -- Periodicals; Analyse mathématique -- Périodiques; Analyse fonctionnelle -- Périodiques; Théories non linéaires -- Périodiques; Functional analysis; Mathematical analysis; Nonlinear theories; Periodicals; Electronic journals; 515.7248
• DOI: 10.1016/j.na.2015.10.001
• Languages: English
• ISSNs: 0362-546X

Abstract

Abstract: We introduce a notion of pseudo-Jacobian for continuous nonsmooth mappings between Riemannian manifolds. Then we discuss the global inversion of continuous mappings between Riemannian manifolds which may be non-locally Lipschitz. For this purpose, we obtain a version of the Hadamard integral condition for invertibility by using pseudo-Jacobian.