Asymptotic analysis of scalarization functions and applications | Zendy

Genghua Li | Zendy; Shengjie Li | Zendy; Manxue You | Zendy

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Asymptotic analysis of scalarization functions and applications

Author(s) -

Genghua Li,

Shengjie Li,

Manxue You

Publication year - 2022

Publication title -

journal of industrial and management optimization

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.325

H-Index - 32

eISSN - 1553-166X

pISSN - 1547-5816

DOI - 10.3934/jimo.2022046

Subject(s) - monotonic function , lipschitz continuity , invariant (physics) , mathematics , asymptotic expansion , set (abstract data type) , mathematical optimization , function (biology) , characterization (materials science) , computer science , mathematical analysis , materials science , evolutionary biology , mathematical physics , biology , programming language , nanotechnology

In this paper, we consider two common scalarization functions and their applications via asymptotic analysis. We mainly analyze the recession and asymptotic properties of translation invariant function and oriented distance function, and discuss their monotonicity and Lipschitz continuity in terms of recession functions. Finally, we apply these scalarization functions to the characterization of the nonemptiness and boundedness of the solution set for a general constrained nonconvex optimization problem.

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