On Metric and Calmness Qualification Conditions in Subdifferential Calculus

By Alexander D. Ioffe, Jirí Vladimír Outrata. 2008

212 citations recorded by the source corpus.

Subfields: Computational Theory and Mathematics, Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/23b01137f8681bd5b2f06ee3ef727fbb6611763b

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Computational Theory and Mathematics

1. Alexander Y. Kruger
2. Jirí Vladimír Outrata
3. Tim Hoheisel
4. Boris S. Mordukhovich
5. Christian Kanzow
6. W. Churchill
7. Francisco J. Aragón Artacho
8. René Henrion

In Geometry and Topology

1. Alexander Y. Kruger
2. Francisco J. Aragón Artacho
3. Boris S. Mordukhovich
4. W. Churchill
5. Jirí Vladimír Outrata
6. René Henrion
7. Marian J. Fabian
8. Alexander D. Ioffe

In Mathematical Physics

1. Alexander Y. Kruger
2. Francisco J. Aragón Artacho
3. W. Churchill
4. Boris S. Mordukhovich
5. Jirí Vladimír Outrata
6. Alexander D. Ioffe
7. René Henrion
8. Marian J. Fabian

Citations in the corpus

• METRIC REGULARITY—A SURVEY PART 1. THEORY (2016, result): “8 seem to be new, as stated, but they are closely connected with the results of Ioffe–Outrata [62] and Meng–Yang [74], among others.”
• Error Bounds and Hölder Metric Subregularity (2014, unknown): “Firstly, similar to the corresponding definition introduced in [26], this is an “outer” object: only sequences (xk, yk) ∈ gphF with xk components lying outside of the set F (ȳ) are taken into account.”
• Error Bounds: Necessary and Sufficient Conditions (2010, background): “[25, 45, 49]) with various subdifferentials (Fréchet, limiting, outer).”
• ABOUT STATIONARITY AND REGULARITY IN VARIATIONAL ANALYSIS (2009, background): “23 Real-valued functions and collections of sets were examined respectively in [18, 21, 27–30, 33] and 24 [3,5–7,14,21,26–32,34,39,41–43,48].”
• Error bounds and metric subregularity (2014, methodology): “The interested reader is referred to the articles by Azé [1], Azé and Corvellec [2], Corvellec and Motreanu [3], Gfrerer [4], Ioffe [5], Ioffe and Outrata [6], Ngai and Théra [7,8], Jong-Shi Pang [9], Zheng and Ng [10,11] and the references therein.”
• Exact penalty results for mathematical programs with vanishing constraints (2010, background): “It is the so-called outer subdifferential introduced in [13].”
• Metric regularity and Lipschitzian stability of parametric variational systems (2010, background): “In [5, 10, 12, 25], the reader can find more information and discussion on the calmness property with recent results and applications.”