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Volumn 27, Issue 3, 1998, Pages 375-386

Contingent epiderivative and its applications to set-valued optimization

Author keywords

Contingent epiderivative; Optimality conditions; Sensitivity analysis; Vector optimization

Indexed keywords


EID: 0032356083     PISSN: 03248569     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (57)

References (15)
  • 1
    • 0003086078 scopus 로고
    • Contingent derivatives of set-valued maps and existence of solutions to nonlinear inclusions and differential inclusions
    • Nachbin L (ed.) Academic Press, New York
    • AUBIN, J.P. (1981) Contingent derivatives of set-valued maps and existence of solutions to nonlinear inclusions and differential inclusions. In: Nachbin L (ed.) Mathematical analysis and applications, part A, Academic Press, New York, 160-122.
    • (1981) Mathematical Analysis and Applications , Issue.PART A , pp. 160-1122
    • Aubin, J.P.1
  • 3
    • 0000061469 scopus 로고    scopus 로고
    • Optimality conditions for set-valued optimization problems
    • To appear
    • CHEN, G.Y. and JAHN, J. (1998) Optimality conditions for set-valued optimization problems. To appear in: Math. Meth. Oper. Res.
    • (1998) Math. Meth. Oper. Res.
    • Chen, G.Y.1    Jahn, J.2
  • 4
    • 0024035435 scopus 로고
    • Optimality conditions for maximizations of set-valued functions
    • CORLEY, H.W. (1988) Optimality conditions for maximizations of set-valued functions. J. Optim. Theory Appl., 58, 1-10.
    • (1988) J. Optim. Theory Appl. , vol.58 , pp. 1-10
    • Corley, H.W.1
  • 5
    • 0010932635 scopus 로고
    • A characterization of proper minimal problems as a solution of sublinear optimization problems
    • DAUER, J.P. and SALEH, O.A. (1993) A characterization of proper minimal problems as a solution of sublinear optimization problems. J. Math. Anal. Appl., 178, 227-246.
    • (1993) J. Math. Anal. Appl. , vol.178 , pp. 227-246
    • Dauer, J.P.1    Saleh, O.A.2
  • 6
    • 0001651139 scopus 로고
    • On the existence of efficient points in locally convex spaces
    • HA, T.X.D. (1994) On the existence of efficient points in locally convex spaces. J. Global Optim., 4, 265-278.
    • (1994) J. Global Optim. , vol.4 , pp. 265-278
    • Ha, T.X.D.1
  • 8
    • 0031383054 scopus 로고    scopus 로고
    • Contingent epiderivatives and set-valued optimization
    • JAHN, J. and RAUH, R. (1997) Contingent epiderivatives and set-valued optimization. Math. Meth. Oper. Res., 46, 193-211.
    • (1997) Math. Meth. Oper. Res. , vol.46 , pp. 193-211
    • Jahn, J.1    Rauh, R.2
  • 10
    • 0346891680 scopus 로고    scopus 로고
    • Central and peripheral results in the study of marginal and performance functions
    • ed. by A. V. Fiaco, Lecture Notes in Pure and Applied Mathematics, Marcel Dekker Inc.
    • PENOT, J.P. (1997) Central and peripheral results in the study of marginal and performance functions, Mathematical Programming with Data Perturbations, ed. by A. V. Fiaco, Lecture Notes in Pure and Applied Mathematics, 195, Marcel Dekker Inc.
    • (1997) Mathematical Programming with Data Perturbations , vol.195
    • Penot, J.P.1
  • 11
    • 0021466350 scopus 로고
    • Differentiability of relations and differential stability of perturbed optimization problems
    • PENOT, J.P. (1984) Differentiability of relations and differential stability of perturbed optimization problems. SIAM J. Control Optim., 22, 529-551.
    • (1984) SIAM J. Control Optim. , vol.22 , pp. 529-551
    • Penot, J.P.1
  • 13
    • 0027574343 scopus 로고
    • Sensitivity analysis in convex vector optimization
    • SHI, D.S. (1993) Sensitivity analysis in convex vector optimization. J. Optim. Theory Appl., 77, 145-159.
    • (1993) J. Optim. Theory Appl. , vol.77 , pp. 145-159
    • Shi, D.S.1
  • 14
    • 0023979752 scopus 로고
    • Sensitivity analysis in multiobjective optimization
    • TANINO, T. (1988A) Sensitivity analysis in multiobjective optimization. J. Optim. Theory Appl., 56, 479-499.
    • (1988) J. Optim. Theory Appl. , vol.56 , pp. 479-499
    • Tanino, T.1
  • 15
    • 0024001849 scopus 로고
    • Stability and sensitivity analysis in convex vector optimization
    • TANINO, T. (1988B) Stability and sensitivity analysis in convex vector optimization. SIAM J. Control Optim., 26, 521-536.
    • (1988) SIAM J. Control Optim. , vol.26 , pp. 521-536
    • Tanino, T.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.