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Linearized M-stationarity Conditions for General Optimization Problems

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This paper investigates new first-order optimality conditions for general optimization problems. These optimality conditions are stronger than the commonly used M-stationarity conditions and are in particular useful when the latter… Click to show full abstract

This paper investigates new first-order optimality conditions for general optimization problems. These optimality conditions are stronger than the commonly used M-stationarity conditions and are in particular useful when the latter cannot be applied because the underlying limiting normal cone cannot be computed effectively. We apply our optimality conditions to a MPEC to demonstrate their practicability.

Keywords: conditions general; general optimization; stationarity conditions; optimization problems

Journal Title: Set-Valued and Variational Analysis
Year Published: 2018

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