|
|
|
References
|
|
|
1. |
Aussel D., Corvellec J.-N., Lassonde M., “Nonsmooth constrained optimization and multidirectional mean value inequalities”, SIAM J. Optim., 9:3 (1999), 690–706 |
2. |
Borwein J. M., Fitzpatrick S. P., Giles J. R., “The differentiability of real functions on normed linear space using generalized subgradients”, J. Math. Anal. Appl., 128:2 (1987), 512–534 |
3. |
Borwein J. M., Vanderwerff J. D., Convex Functions: Constructions, Characterizations and Counterexamples, Cambridge University Press, Cambridge, 2010, x+521 pp. |
4. |
Borwein J. M., Zhu Q. J., Techniques of Variational Analysis, New York, Springer-Verlag, 2005, vi+362 pp. |
5. |
Clarke F., Ledyaev Yu. S., “New formulas for finite increments”, Dokl. Math., 48:1 (1994), 75–79 |
6. |
Clarke F. H., Ledyaev Yu. S., Stern R. J., Wolenski P. R., Nonsmooth Analysis and Control Theory, Springer-Verlag, New York, 1998, xiv+276 pp. |
7. |
Fabian M., Mordukhovich B. S., “Nonsmooth characterizations of Asplund spaces and smooth variational principles”, Set-Valued Anal., 6 (1998), 381–406 |
8. |
Gomoyunov M. I., Plaksin A. R., “Equivalence of minimax and viscosity solutions of path-dependent Hamilton–Jacobi equations”, J. Funct. Anal., 285:11 (2023), 110155 |
9. |
Ioffe A. D., Variational Analysis of Regular Mappings: Theory and Applications., Springer Monogr, Math. Springer, Cham, 2017, xxi+495 pp. |
10. |
Kipka R., Ledyaev Yu. S., “A generalized multidirectional mean value inequality and dynamic optimization”, Optimization, 68:7 (2019), 1365–1389 |
11. |
Khlopin D., “Necessary conditions in infinite-horizon control problems that need no asymptotic assumptions”, Set-Valued Var. Anal., 31:1 (2023), 8 |
12. |
Ledyaev Yu. S., Treiman J. S., “Sub- and supergradients of envelopes, semicontinuous closures, and limits of sequences of functions.”, Russian Math. Surveys, 67:2 (2012), 345–373 |
13. |
Mordukhovich B. S., Variational Analysis and Generalized Differentiation {I}: Basic Theory, Springer-Verlag, Berlin, 2006, xxii+579 pp. |
14. |
Mordukhovich B. S., Variational Analysis and Applications, Springer Monogr. Math., Springer, Cham, 2018, xix+622 pp. |
15. |
Rockafellar R. T., Wets R. J. B., Variational Analysis, Springer-Verlag, Berlin, 2009, vii+735 pp. |
16. |
Subbotin A. I., “On a property of the subdifferential”, Math. USSR-Sb., 74:1 (1993), 63–78 |
17. |
Trang N. T. Q., “A note on an approximate mean value theorem for Fréchet subgradients”, Nonlinear Anal., 75:1 (2012), 380–383 |
18. |
Zhu Q. J., “The equivalence of several basic theorems for subdifferentials”, Set-Valued Anal., 6 (1998), 171–185 |