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Strong efficiency in a locally convex space

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Abstract.

A new kind of proper efficiency, namely strong efficiency, is introduced in a locally convex space. Strong efficiency generalizes Borwein's super efficiency and refines other proper efficiency. We provide a scalar characterization for strongly efficient points and study the section property and density of the set of strongly efficient points.

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Authors and Affiliations

  1. Institute of Systems Science, Academia Sinica, Beijing, 100080, China (e-mail: yhcheng@iss05.iss.ac.cn), , , , , , CN

    Y. H. Cheng

  2. Department of Mathematics, University of Nanchang, Nanchang, 330047, China, , , , , , CN

    W. T. Fu

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  1. Y. H. Cheng
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  2. W. T. Fu
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Manuscript received: June 1998/final version received: March 1999

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Cheng, Y., Fu, W. Strong efficiency in a locally convex space. Mathematical Methods of OR 50, 373–384 (1999). https://doi.org/10.1007/s001860050076

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  • DOI: https://doi.org/10.1007/s001860050076

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