CHEN Jian-chen, GAO Jie. Connectedness of Henig Efficient Solution Set for Set-valued Optimization Problems with Constraints[J]. Journal of nanchang hangkong university(Natural science edition), 2012, 26(3): 22-27.
Citation: CHEN Jian-chen, GAO Jie. Connectedness of Henig Efficient Solution Set for Set-valued Optimization Problems with Constraints[J]. Journal of nanchang hangkong university(Natural science edition), 2012, 26(3): 22-27.

Connectedness of Henig Efficient Solution Set for Set-valued Optimization Problems with Constraints

  • In this paper,we present the theorem of the connectedness of Henig efficient solution set for set-valued optimization problems with constraints in the local convex spaces.The theorem is proved under the condition that the domain is an arcwise connected and compact subset,and the objective function is a cone-arcwise connected set-valued mapping.
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