메뉴 건너뛰기




Volumn 12, Issue 2, 2005, Pages 255-265

Subdifferential representation of convex functions: Refinements and applications

Author keywords

Convex function; Cusco mapping; Epi pointed function; Strongly exposed point; Subdifferential

Indexed keywords


EID: 32044462935     PISSN: 09446532     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (11)

References (10)
  • 2
    • 0036356154 scopus 로고    scopus 로고
    • Integration of Fenchel subdifferentials of epi-pointed functions
    • J. Benoist, A. Daniilidis: Integration of Fenchel subdifferentials of epi-pointed functions, SIAM J. Optim. 12 (2002) 575-582.
    • (2002) SIAM J. Optim. , vol.12 , pp. 575-582
    • Benoist, J.1    Daniilidis, A.2
  • 3
    • 0030507288 scopus 로고    scopus 로고
    • What is the subdifferential of the closed convex hull of a function?
    • J. Benoist, J.-B. Hiriart-Urruty: What is the subdifferential of the closed convex hull of a function?, SIAM J. Math. Anal. 27 (1996) 1661-1679.
    • (1996) SIAM J. Math. Anal. , vol.27 , pp. 1661-1679
    • Benoist, J.1    Hiriart-Urruty, J.-B.2
  • 4
    • 0003006591 scopus 로고
    • Minimal cuscos and subgradients of Lipschitz functions
    • Fixed Point Theory and its Applications, J.-B. Baillon, M. Théra (eds.), Longman, Essex
    • J. M. Borwein: Minimal cuscos and subgradients of Lipschitz functions, in: Fixed Point Theory and its Applications, J.-B. Baillon, M. Théra (eds.), Pitman Res. Notes in Math. Series 252, Longman, Essex (1991) 57-82.
    • (1991) Pitman Res. Notes in Math. Series , vol.252 , pp. 57-82
    • Borwein, J.M.1
  • 5
    • 0012628636 scopus 로고    scopus 로고
    • Multifunctional and functional analytic techniques in nonsmooth analysis
    • Nonlinear Analysis, Differential Equations and Control, F. H. Clarke, R. J. Stern (eds.), Kluwer Acad. Publ.
    • J. Borwein, Q. Zhu: Multifunctional and functional analytic techniques in nonsmooth analysis, in: Nonlinear Analysis, Differential Equations and Control, F. H. Clarke, R. J. Stern (eds.), Series C: Mathematical and Physical Sciences 528, Kluwer Acad. Publ. (1999) 61-157.
    • (1999) Series C: Mathematical and Physical Sciences , vol.528 , pp. 61-157
    • Borwein, J.1    Zhu, Q.2
  • 6
    • 0001057804 scopus 로고    scopus 로고
    • Essentially smooth Lipschitz functions
    • J. Borwein, W. Moors: Essentially smooth Lipschitz functions, J. Funct. Anal. 49 (1997) 305-351.
    • (1997) J. Funct. Anal. , vol.49 , pp. 305-351
    • Borwein, J.1    Moors, W.2
  • 7
    • 0009631040 scopus 로고
    • The dual of a space with the Radon-Nikodym property
    • J. Collier: The dual of a space with the Radon-Nikodym property, Pacific J. Math. 64 (1976) 103-106.
    • (1976) Pacific J. Math. , vol.64 , pp. 103-106
    • Collier, J.1
  • 10
    • 84972582929 scopus 로고
    • On the maximal monotonicity of subdifferential mappings
    • R. T. Rockafellar: On the maximal monotonicity of subdifferential mappings, Pacific J. Math. 33 (1970) 209-216.
    • (1970) Pacific J. Math. , vol.33 , pp. 209-216
    • Rockafellar, R.T.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.