English

Implicit function and tangent cone theorems for singular inclusions and applications to nonlinear programming

Functional Analysis 2018-11-14 v1

Abstract

The paper is devoted to the implicit function theorem involving singular mappings.We also discuss the form of the tangent cone to the solution set of the generalized equations in singular case and give some examples of applications to nonlinear programming and complementarity problems.

Keywords

Cite

@article{arxiv.1804.01566,
  title  = {Implicit function and tangent cone theorems for singular inclusions and applications to nonlinear programming},
  author = {Agnieszka Prusinska and Ewa Bednarczuk and Alexey Tret'yakov},
  journal= {arXiv preprint arXiv:1804.01566},
  year   = {2018}
}

Comments

11 pages

R2 v1 2026-06-23T01:14:08.077Z