article · Numerical Functional Analysis and Optimization · 2014

Partial Second-Order Subdifferentials in Variational Analysis and Optimization

Boris S. Mordukhovich, Nguyen Mau Nam, Nguyen Thi Yen Nhi

Cited by 21Abstract and details only

Abstract

This article presents a systematic study of partial second-order subdifferentials for extended-real-valued functions, which have already been applied to important issues of variational analysis and constrained optimization in finite-dimensional spaces. The main results concern developing extended calculus rules for these second-order constructions in both finite-dimensional and infinite-dimensional frameworks. We also provide new applications of partial second-order subdifferentials to Lipschitzian stability of stationary point mappings in parametric constrained optimization and discuss some other applications.

Cite this paper

APA 7

Mordukhovich, B. S., Nam, N. M., & Nhi, N. T. Y. (2014). Partial Second-Order Subdifferentials in Variational Analysis and Optimization. Numerical Functional Analysis and Optimization, 35(7-9), 1113–1151. https://doi.org/10.1080/01630563.2014.895747

MLA 9

Mordukhovich, Boris S., et al. “Partial Second-Order Subdifferentials in Variational Analysis and Optimization.” Numerical Functional Analysis and Optimization, vol. 35, no. 7-9, 2014, pp. 1113–51, https://doi.org/10.1080/01630563.2014.895747.

Chicago

Mordukhovich, Boris S., Nguyen Mau Nam, and Nguyen Thi Yen Nhi. 2014. “Partial Second-Order Subdifferentials in Variational Analysis and Optimization.” Numerical Functional Analysis and Optimization 35 (7-9): 1113–51. https://doi.org/10.1080/01630563.2014.895747.

Harvard

Mordukhovich, B.S., Nam, N.M. and Nhi, N.T.Y. (2014) ‘Partial Second-Order Subdifferentials in Variational Analysis and Optimization’, Numerical Functional Analysis and Optimization, 35(7-9), pp. 1113–1151. Available at: https://doi.org/10.1080/01630563.2014.895747.

BibTeX

@article{mordukhovich2014partial,
  title = {{Partial Second-Order Subdifferentials in Variational Analysis and Optimization}},
  author = {Mordukhovich, Boris S. and Nam, Nguyen Mau and Nhi, Nguyen Thi Yen},
  journal = {Numerical Functional Analysis and Optimization},
  volume = {35},
  number = {7-9},
  pages = {1113--1151},
  year = {2014},
  doi = {10.1080/01630563.2014.895747}
}

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