Abstract

A notion of pseudo-Jacobian of continuous vector fields on Riemannian manifolds is presented. It is shown that the Clarke generalized Jacobian and Mordukhovich coderivative for locally Lipschitz vector fields are pseudo-Jacobians. Moreover, monotone vector fields are characterized in terms of pseudo-Jacobians.

Author information

Contact details are reproduced from the original publication and may be historical.

Mohamad Reza Pouryayevali

Dept. of Mathematics, University of Isfahan, Isfahan, Iran

pourya@math.ui.ac.ir

Keywords

  • Pseudo-Jacobian
  • Lipschitz vector fields
  • Monotone vector fields
  • Riemannian manifolds

Mathematics Subject Classification

58C20, 49J52, 47H05

Suggested citation

E. Ghahraei, S. Hosseini, M. R. Pouryayevali. “Pseudo-Jacobian and Characterization of Monotone Vector Fields on Riemannian Manifolds.” Journal of Convex Analysis 24 (2017), No. 1, 149–168. https://doi.org/10.68381/jca24012

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Published by Heldermann Verlag, 2017. Rights now held by Banach Press.