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Volumn 26, Issue 5, 1996, Pages 915-923

A strong mean value theorem and applications

Author keywords

Convex function; Maximal monotone subdifferential; Mean value theorem

Indexed keywords


EID: 0006419558     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/0362-546X(94)00336-6     Document Type: Article
Times cited : (9)

References (17)
  • 1
    • 0041910803 scopus 로고
    • Mean value theorem for convex functionals
    • GWINNER J., Mean value theorem for convex functionals, Commentat. math. Univ. Carol. 18, 213-218 (1977).
    • (1977) Commentat. Math. Univ. Carol. , vol.18 , pp. 213-218
    • Gwinner, J.1
  • 3
    • 0000458852 scopus 로고
    • Valeur moyenne pour gradient généralisé
    • LEBOURG G., Valeur moyenne pour gradient généralisé, C. r. Acad. Sci. Paris A, 795-797 (1975).
    • (1975) C. r. Acad. Sci. Paris , vol.A , pp. 795-797
    • Lebourg, G.1
  • 4
    • 43949170251 scopus 로고
    • A characterization of convex functions
    • LUC D. T. & SWAMINATHAN S., A characterization of convex functions, Nonlinear Analysis 20, 697-701 (1993).
    • (1993) Nonlinear Analysis , vol.20 , pp. 697-701
    • Luc, D.T.1    Swaminathan, S.2
  • 5
    • 0009123194 scopus 로고
    • On the mean value theorem
    • PENOT J. P., On the mean value theorem, Optimization 19, 147-156 (1988).
    • (1988) Optimization , vol.19 , pp. 147-156
    • Penot, J.P.1
  • 6
    • 0039004008 scopus 로고
    • Mean value theorems and sufficient optimality conditions for nonsmooth functions
    • STUDNIARSKI M., Mean value theorems and sufficient optimality conditions for nonsmooth functions, J. math. Analysis Applic. 111, 313-326 (1985).
    • (1985) J. Math. Analysis Applic. , vol.111 , pp. 313-326
    • Studniarski, M.1
  • 7
    • 0040782366 scopus 로고
    • Mean value theorems for convex functions
    • WEGGE L., Mean value theorems for convex functions, J. math. Econ. 1, 207-208 (1974).
    • (1974) J. Math. Econ. , vol.1 , pp. 207-208
    • Wegge, L.1
  • 8
    • 0001161272 scopus 로고
    • Approximate mean value theorem for upper subderivatives
    • ZAGRODNY D., Approximate mean value theorem for upper subderivatives, Nonlinear Analysis 12, 1413-1428 (1988).
    • (1988) Nonlinear Analysis , vol.12 , pp. 1413-1428
    • Zagrodny, D.1
  • 9
    • 84966220672 scopus 로고
    • Characterizations of lower semicontinuous convex functions
    • CORREA R., JOFRE A. & THIBAULT L., Characterizations of lower semicontinuous convex functions, Proc. Am. math. Soc. 116, 67-72 (1992).
    • (1992) Proc. Am. Math. Soc. , vol.116 , pp. 67-72
    • Correa, R.1    Jofre, A.2    Thibault, L.3
  • 10
    • 0006506868 scopus 로고
    • On the maximal monotonicity of subdifferentials
    • LUC D. T., On the maximal monotonicity of subdifferentials, Acta math. Vietnam. 18, 99-106 (1993).
    • (1993) Acta Math. Vietnam. , vol.18 , pp. 99-106
    • Luc, D.T.1
  • 11
    • 84971791478 scopus 로고
    • Characterizations of quasiconvex functions
    • LUC D. T., Characterizations of quasiconvex functions, Bull. Aust. math. Soc. 48, 399-405 (1993).
    • (1993) Bull. Aust. Math. Soc. , vol.48 , pp. 399-405
    • Luc, D.T.1
  • 12
    • 0042411892 scopus 로고
    • Swimming below icebergs
    • SIMONS S., Swimming below icebergs, Set-Val. Analysis 2, 327-337 (1994).
    • (1994) Set-Val. Analysis , vol.2 , pp. 327-337
    • Simons, S.1
  • 15
    • 0001019116 scopus 로고
    • Calcul sous différentiel pour des fonctions lipschitziennes et non lipschitziennes
    • MICHEL P. & PENOT J.-P., Calcul sous différentiel pour des fonctions lipschitziennes et non lipschitziennes, C. r. Acad. Sci. Paris 298, 269-272 (1984).
    • (1984) C. r. Acad. Sci. Paris , vol.298 , pp. 269-272
    • Michel, P.1    Penot, J.-P.2
  • 16
    • 0001254208 scopus 로고
    • Metric approximations and necessary optimality conditions for general classes of nonsmooth extremal problems
    • MORDUKHOVICH B. S., Metric approximations and necessary optimality conditions for general classes of nonsmooth extremal problems, Soviet Math. Dokl. 22, 526-530 (1980).
    • (1980) Soviet Math. Dokl. , vol.22 , pp. 526-530
    • Mordukhovich, B.S.1
  • 17
    • 0016092731 scopus 로고
    • On the variational principle
    • EKELAND I., On the variational principle, J. math. Analysis Applic. 47, 324-353 (1974).
    • (1974) J. Math. Analysis Applic. , vol.47 , pp. 324-353
    • Ekeland, I.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.