A Newton-Like Method for Variable Order Vector Optimization Problems |
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| Authors: | Glaydston de Carvalho Bento Gemayqzel Bouza Allende Yuri Rafael Leite Pereira |
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| Institution: | 1.IME,Universidade Federal de Goiás,Goiania,Brazil;2.Faculty of Mathematics and Computer Science,University of Habana,Habana,Cuba;3.DM,Universidade Federal do Piauí,Teresina,Brazil |
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| 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. |
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