4.6 Article

Merit functions in vector optimization

Journal

MATHEMATICAL PROGRAMMING
Volume 119, Issue 2, Pages 215-237

Publisher

SPRINGER HEIDELBERG
DOI: 10.1007/s10107-008-0208-y

Keywords

Weakly efficient solution; Merit function; Weak domination property; Error bound

Funding

  1. CUHK
  2. Research Grant Council of Hong Kong

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We study the weak domination property and weakly efficient solutions in vector optimization problems. In particular scalarization of these problems is obtained by virtue of some suitable merit functions. Some natural conditions to ensure the existence of error bounds for merit functions are also given.

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