A Proximal Point Algorithm with Quasi-distance in Multi-objective Optimization

  title={A Proximal Point Algorithm with Quasi-distance in Multi-objective Optimization},
  author={Rog{\'e}rio Azevedo Rocha and P. Roberto Oliveira and Ronaldo Malheiros Greg{\'o}rio and Michael Souza},
  journal={J. Optimization Theory and Applications},
In this paper, we present a generalized vector-valued proximal point algorithm for convex and unconstrained multi-objective optimization problems. Our main contribution is the introduction of quasi-distancemappings in the regularized subproblems, which has important applications in the computer theory and economics, among others. By considering a certain class of quasi-distances, that are Lipschitz continuous and coercive in any of their arguments, we show that any sequence generated by our… CONTINUE READING
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Publications referenced by this paper.
Showing 1-10 of 23 references

Theory of Vector Optimization

  • T. D. Luc
  • Lecture Notes in Economics and Mathematical…
  • 1989
Highly Influential
4 Excerpts

Generalized proximal method for efficient solutions in vector optimization

  • T. D. Chuong
  • Numer. Funct. Anal. Optim. 32(8), 843–857
  • 2011
1 Excerpt

Generalized proximal point algorithms for multiobjective optimization

  • Z. Chen, X. X. Huang, X. Q. Yang
  • Appl. Anal. 90(6), 935–949
  • 2011
1 Excerpt

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