On minima of the difference of functions
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Publication:1357523
DOI10.1023/A:1022686911986zbMath0886.90118OpenAlexW1575387247MaRDI QIDQ1357523
Publication date: 10 June 1997
Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1023/a:1022686911986
metric spacelower semicontinuous functionphi-subdifferentialsnecessary and sufficient conditionnonconvex functionsgeneralized conjugation
Related Items (7)
Generalized subdifferentials of the sign change counting function ⋮ Q-subdifferential and Q-conjugate for global optimality ⋮ Solving DC programs with a polyhedral component utilizing a multiple objective linear programming solver ⋮ Extended Farkas's lemmas and strong dualities for conic programming involving composite functions ⋮ On the representation of approximate subdifferentials for a class of generalized convex functions ⋮ Simplified optimality conditions for minimizing the difference of vector-valued functions ⋮ Optimality conditions and total dualities for conic programming involving composite function
Cites Work
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- The conjugate of the difference of convex functions
- Maximization of lower semi-continuous convex functionals on bounded subsets of locally convex spaces. II: Quasi-Lagrangian duality theorems
- Duality in nonconvex optimization
- A duality principle for non-convex optimisation and the calculus of variations
- A General Formula on the Conjugate of the Difference of Functions
- A formula on the approximate subdifferential of the difference of convex functions
- A Fenchel-Rockafellar type duality theorem for maximization
- The lack of lower semicontinuity and nonexistence of minimizers
- On a notion of subdifferentiability for non-convex functions†
- Augmented Lagrange Multiplier Functions and Duality in Nonconvex Programming
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