On the Continuous-Time Complementarity Problem

Authors

  • Moisés Rodrigues Cirilo do Monte
  • Valeriano Antunes de Oliveira

DOI:

https://doi.org/10.5540/03.2022.009.01.0287

Keywords:

Complementarity, Variational Inequality, Continuous-time.

Abstract

This work deals with solving continuous-time nonlinear complementarity problems using the variational inequality problem. A relation is set up so that a stationary point of an unconstrained continuous-time programming problem is a solution for the continuous-time complementarity problem.

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Author Biographies

Moisés Rodrigues Cirilo do Monte

Universidade Federal de Uberlândia (UFU), Instituto de Ciências Exatas e Naturais do Pontal, Câmpus
de Ituiutaba, MG

Valeriano Antunes de Oliveira

Universidade Estadual Paulista (Unesp), Instituto de Biociências, Letras e Ciências Exatas, Departamento
de Matemática, Câmpus de São José do Rio Preto, SP

References

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M. R. C. do Monte and V. A. de Oliveira. “A full rank condition for continuous-time optimization problems with equality and inequality constraints”. In: Trends in Computational and Applied Mathematics 20 (2019), pp. 15–35. doi: 10.5540/tema.2019.020.01.015.

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Published

2022-12-08

Issue

Vol. 9 No. 1 (2022): CNMAC 2022

Section

Trabalhos Completos