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Technical Note—Some Examples Concerning Linear Continuity of Solutions to Programming Problems

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  • Michiel Hazewinkel

    (Erasmus University, Rotterdam, The Netherlands)

Abstract

In this note we construct some counterexamples concerning upper semicontinuity and linear upper and lower semicontinuity of the solution sets and ϵ-solution sets of nonlinear programming programs: max f ( x ), subject to g ( x ) ≦ b . These examples answer some of the questions in a recent paper by Stern and Topkis.

Suggested Citation

  • Michiel Hazewinkel, 1977. "Technical Note—Some Examples Concerning Linear Continuity of Solutions to Programming Problems," Operations Research, INFORMS, vol. 25(4), pages 715-719, August.
    • Handle: RePEc:inm:oropre:v:25:y:1977:i:4:p:715-719
    DOI: 10.1287/opre.25.4.715
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