A Survey on Proximal Point Type Algorithms for Solving Vector Optimization Problems

Sorin-Mihai Grad ()
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Sorin-Mihai Grad: University of Vienna, Faculty of Mathematics

Chapter Chapter 11 in Splitting Algorithms, Modern Operator Theory, and Applications, 2019, pp 269-308 from Springer

Abstract: Abstract In this survey paper we present the existing generalizations of the proximal point method from scalar to vector optimization problems, discussing some of their advantages and drawbacks, respectively, presenting some open challenges and sketching some possible directions for future research.

Keywords: Vector optimization problem; Proximal point algorithm; Weakly efficient solution; Efficient solution; Splitting method; Multiobjective optimization problem; Vector function; Scalarization function; 90C25; 90C29; 90C46 (search for similar items in EconPapers)
Date: 2019
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-030-25939-6_11

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DOI: 10.1007/978-3-030-25939-6_11

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