4.3 Article

On strong KKT type sufficient optimality conditions for multiobjective semi-infinite programming problems with vanishing constraints

Journal

Publisher

SPRINGER INTERNATIONAL PUBLISHING AG
DOI: 10.1186/s13660-017-1558-x

Keywords

semi-infinite programming; mathematical programs with vanishing constraints; optimality conditions; generalized convexity

Funding

  1. Ministry of Science and Technology, Taiwan [MOST 106-2221-E-182-038-MY2]
  2. Chang Gung Memorial Hospital LinKou, Taiwan [BMRPD017]
  3. Council of Scientific and Industrial Research (CSIR), New Delhi, India [09/013(0474)/2012-EMR-1]

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In this paper, we consider a nonsmooth multiobjective semi-infinite programming problem with vanishing constraints (MOSIPVC). We introduce stationary conditions for the MOSIPVCs and establish the strong Karush-Kuhn-Tucker type sufficient optimality conditions for the MOSIPVC under generalized convexity assumptions.

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