Estimates of Approximate Solutions and Well-Posedness in Vector Optimization | Zendy

Ya-Ping Fang | Zendy; Nanjing Huang | Zendy

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Estimates of Approximate Solutions and Well-Posedness in Vector Optimization

Author(s) -

Ya-Ping Fang,

Nanjing Huang

Publication year - 2007

Publication title -

zeitschrift für analysis und ihre anwendungen

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.567

H-Index - 35

eISSN - 1661-4534

pISSN - 0232-2064

DOI - 10.4171/zaa/1339

Subject(s) - vector optimization , optimization problem , mathematics , vector valued function , mathematical optimization , function (biology) , mathematical analysis , multi swarm optimization , biology , evolutionary biology

In this paper we estimate the sizes of approximate solution sets for vector optimization from outside and inside, respectively. In terms of an important scalarization function, we obtain some estimates of approximate solutions for well-posed vector optimization, and some estimates of approximate solutions for well-posed vector optimization under perturbations.

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