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

Sorin Mihai Grad

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

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

Sorin Mihai Grad

C/o Faculty of Mathematics of the University of Vienna

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Résumé

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.

langue originale	Anglais
titre	Splitting Algorithms, Modern Operator Theory, and Applications
Editeur	Springer International Publishing
Pages	269-308
Nombre de pages	40
ISBN (Electronique)	9783030259396
ISBN (imprimé)	9783030259389
Les DOIs	https://doi.org/10.1007/978-3-030-25939-6_11
état	Publié - 1 janv. 2019
Modification externe	Oui

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

Contient cette citation

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title = "A Survey on Proximal Point Type Algorithms for Solving Vector Optimization Problems",

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 = "Efficient solution, Multiobjective optimization problem, Proximal point algorithm, Scalarization function, Splitting method, Vector function, Vector optimization problem, Weakly efficient solution",

author = "Grad, \{Sorin Mihai\}",

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KW - Efficient solution

KW - Multiobjective optimization problem

KW - Proximal point algorithm

KW - Scalarization function

KW - Splitting method

KW - Vector function

KW - Vector optimization problem

KW - Weakly efficient solution

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

Résumé

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