Abstract

Sweeping processes, introduced by J. J. Moreau, have been studied significantly in recent years due to their interesting applications in practice. However, most of the researches use the global Hausdorff distance to describe the movement of the moving set, which is probably not satisfied for unbounded cases. In this paper, we study the existence of solutions for sweeping processes by using only local excess condition. The result obtained can be applied to analyze a class of time-varying evolution variational inequalities.

Author information

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

Ba Khiet Le

Institute of Engineering Sciences, University of O'Higgins, Rancagua, Chile

lebakhiet@gmail.com

Keywords

  • Existence of solutions
  • sweeping processes
  • local excess condition
  • time-varying evolution variational inequalities

Mathematics Subject Classification

47H05, 46N10, 47H04

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Suggested citation

B. K. Le. “Existence of Solutions for Sweeping Processes with Local Conditions.” Journal of Convex Analysis 27 (2020), No. 3, 833–844. https://doi.org/10.68381/jca27042

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Published by Heldermann Verlag, 2020. Rights now held by Banach Press LLC.