Optimization Online


Partial Second-Order Subdifferentials in Variational Analysis and Optimization

Boris Mordukhovich(boris***at***math.wayne.edu)
Nguyen Mau Nam(mau.nam.nguyen***at***pdx.edu)
Nguyen Thi Yen Nhi(nhi***at***math.wayne.edu)

Abstract: This paper 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.

Keywords: Variational analysis, parametric constrained optimization, generalized differentiation, coderivatives, second-order subdifferentials, stability, stationary point mappings

Category 1: Convex and Nonsmooth Optimization (Nonsmooth Optimization )


Download: [PDF]

Entry Submitted: 12/26/2012
Entry Accepted: 12/26/2012
Entry Last Modified: 12/26/2012

Modify/Update this entry

  Visitors Authors More about us Links
  Subscribe, Unsubscribe
Digest Archive
Search, Browse the Repository


Coordinator's Board
Classification Scheme
Give us feedback
Optimization Journals, Sites, Societies
Mathematical Optimization Society