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

Michiel Hazewinkel
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Michiel Hazewinkel: Erasmus University, Rotterdam, The Netherlands

Operations Research, 1977, vol. 25, issue 4, 715-719

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.

Date: 1977
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