메뉴 건너뛰기




Volumn 249, Issue 2, 2000, Pages 539-552

Tangent Sets in the Space of Measures: With Applications to Variational Analysis

Author keywords

Necessary conditions for extremum; Optimisation on measures; Tangent sets; Total variation; Variational methods

Indexed keywords


EID: 0034664299     PISSN: 0022247X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jmaa.2000.6906     Document Type: Article
Times cited : (13)

References (14)
  • 1
    • 30444453466 scopus 로고
    • System and Control, Foundation and Applications. Boston: Birkhäuser
    • Aubin J.-P., Frankowska H. Set-Valued Analysis. System and Control, Foundation and Applications. 2:1990;Birkhäuser, Boston.
    • (1990) Set-Valued Analysis , vol.2
    • Aubin, J.-P.1    Frankowska, H.2
  • 2
    • 0001303990 scopus 로고
    • Metric regularity, tangent sets, and second-order optimality conditions
    • Cominetti R. Metric regularity, tangent sets, and second-order optimality conditions. Appl. Math. Optim. 21:1990;265-287.
    • (1990) Appl. Math. Optim. , vol.21 , pp. 265-287
    • Cominetti, R.1
  • 4
    • 0002958234 scopus 로고
    • First and second-order necessary and sufficient optimality conditions for infinite-dimensional programming problems
    • Maurer H., Zowe J. First and second-order necessary and sufficient optimality conditions for infinite-dimensional programming problems. Math. Programming. 16:1979;98-110.
    • (1979) Math. Programming , vol.16 , pp. 98-110
    • Maurer, H.1    Zowe, J.2
  • 5
    • 0016543715 scopus 로고
    • Polygonal approximation of plane convex bodies
    • McClure D. E., Vitale R. A. Polygonal approximation of plane convex bodies. J. Math. Anal. Appl. 51:1975;326-358.
    • (1975) J. Math. Anal. Appl. , vol.51 , pp. 326-358
    • McClure, D.E.1    Vitale, R.A.2
  • 7
    • 0141811967 scopus 로고    scopus 로고
    • Variational calculus in space of measures and optimal design
    • A. C. Atkinson, B. Bogacka, & A. Zhigljarsky. Dordrecht/Norwell: Kluwer Academic
    • Molchanov I., Zuyev S. Variational calculus in space of measures and optimal design. Atkinson A. C., Bogacka B., Zhigljarsky A., Optimum Experimental Design: Prospects for the New Millenium. 2000;Kluwer Academic, Dordrecht/Norwell.
    • (2000) Optimum Experimental Design: Prospects for the New Millenium
    • Molchanov, I.1    Zuyev, S.2
  • 8
    • 0034249364 scopus 로고    scopus 로고
    • Variational analysis of functionals of a Poisson process
    • Molchanov I., Zuyev S. Variational analysis of functionals of a Poisson process. Math. Oper. Res. 25:2000.
    • (2000) Math. Oper. Res. , vol.25
    • Molchanov, I.1    Zuyev, S.2
  • 10
    • 0016962866 scopus 로고
    • First order conditions for general nonlinear optimization
    • Robinson S. M. First order conditions for general nonlinear optimization. SIAM J. Appl. Math. 30:1976;597-607.
    • (1976) SIAM J. Appl. Math. , vol.30 , pp. 597-607
    • Robinson, S.M.1
  • 11
    • 84986685654 scopus 로고
    • Random approximations of convex sets
    • Schneider R. Random approximations of convex sets. J. Microscopy. 151:1988;211-227.
    • (1988) J. Microscopy , vol.151 , pp. 211-227
    • Schneider, R.1
  • 12
    • 51249169041 scopus 로고
    • The theory of search from a statistical viewpoint
    • Wynn H. P., Zhigljavsky A. A. The theory of search from a statistical viewpoint. Test. 3:1994;1-45.
    • (1994) Test , vol.3 , pp. 1-45
    • Wynn, H.P.1    Zhigljavsky, A.A.2
  • 14
    • 0002800189 scopus 로고
    • Regularity and stability for the mathematical programming problem in Banach spaces
    • Zowe J., Kurcyusz S. Regularity and stability for the mathematical programming problem in Banach spaces. Appl. Math. Optim. 5:1979;49-62.
    • (1979) Appl. Math. Optim. , vol.5 , pp. 49-62
    • Zowe, J.1    Kurcyusz, S.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.