A Newton-Like Method for Variable Order Vector Optimization Problems

Glaydston Carvalho Bento (), Gemayqzel Bouza Allende () and Yuri Rafael Leite Pereira ()
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Glaydston Carvalho Bento: Universidade Federal de Goiás
Gemayqzel Bouza Allende: University of Habana
Yuri Rafael Leite Pereira: Universidade Federal do Piauí

Journal of Optimization Theory and Applications, 2018, vol. 177, issue 1, No 10, 221 pages

Abstract: Abstract A Newton approach is proposed for solving variable order smooth constrained vector optimization problems. The concept of strong convexity is presented, and its properties are analyzed. It is thus obtained that the Newton direction is well defined and that the algorithm converges. Moreover, the rate of convergence is obtained under ordering structures satisfying a mild hypothesis.

Keywords: Descent direction; Efficient points; K-strong convexity; Newton method; Variable order vector optimization; 90C29; 90C30; 26B25; 65K05 (search for similar items in EconPapers)
Date: 2018
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DOI: 10.1007/s10957-018-1236-2

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