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16 - Multiobjective Optimization
- from Part III - Formulation and Solution of Linear Programming (LP) Problems
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- Book:
- Optimization for Chemical and Biochemical Engineering
- Published online:
- 17 December 2020
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- 14 January 2021, pp 168-194
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Corrigendum to: Dirichlet and Neumann boundary conditions for the p-Laplace operator: What is in between?
- Part of
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- Journal:
- Proceedings of the Royal Society of Edinburgh. Section A: Mathematics / Volume 149 / Issue 6 / December 2019
- Published online by Cambridge University Press:
- 01 February 2019, pp. 1689-1691
- Print publication:
- December 2019
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The implication
$(i)\Rightarrow (ii)$ of Theorem 2.1 in our article [1] is not true as it stands. We give here two correct statements which follow from the original proof.
Extremal characterizations of reflexive spaces
- Part of
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- Journal:
- Journal of the Australian Mathematical Society / Volume 82 / Issue 3 / June 2007
- Published online by Cambridge University Press:
- 09 April 2009, pp. 429-440
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- June 2007
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Characterization of optimality for the abstract convex program with finite dimensional range
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- Journal:
- Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics / Volume 30 / Issue 4 / April 1981
- Published online by Cambridge University Press:
- 09 April 2009, pp. 390-411
- Print publication:
- April 1981
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This paper presents characterizations of optimality for the abstract convex program
when S is an arbitrary convex cone in a finite dimensional space, Ω is a convex set and p and g are respectively convex and S-convex (on Ω). These characterizations, which include a Lagrange multiplier theorem and do not presume any a priori constraint qualification, subsume those presently in the literature.
