메뉴 건너뛰기




Volumn 124, Issue 3, 1997, Pages 239-247

Sufficient conditions of optimality for multiobjective optimization problems with γ-paraconvex data

Author keywords

B tangentially compact; Compactly paraconvex multifunction; Contingent derivative; Optimality conditions; Pareto minimal point; paraconvex multifunction

Indexed keywords


EID: 0031475179     PISSN: 00393223     EISSN: None     Source Type: Journal    
DOI: 10.4064/sm-124-3-239-247     Document Type: Article
Times cited : (13)

References (13)
  • 2
    • 0001149753 scopus 로고
    • On proto-differentiability and strict proto-differentiability of multifunctions of feasible points in perturbed optimization problems
    • T. Amahroq and L. Thibault, On proto-differentiability and strict proto-differentiability of multifunctions of feasible points in perturbed optimization problems, Numer. Funct. Anal. Optim. 16 (1995), 1293-1307.
    • (1995) Numer. Funct. Anal. Optim. , vol.16 , pp. 1293-1307
    • Amahroq, T.1    Thibault, L.2
  • 3
    • 0003086078 scopus 로고
    • Contingent derivatives of set-valued maps and existence of solutions to nonlinear inclusions and differential inclusions
    • L. Nachbin (ed.), Academic Press, New York
    • J. P. Aubin, Contingent derivatives of set-valued maps and existence of solutions to nonlinear inclusions and differential inclusions, Adv. in Math. Suppl. Stud. 7a, L. Nachbin (ed.), Academic Press, New York, 1981, 159-229.
    • (1981) Adv. in Math. Suppl. Stud. , vol.7 A , pp. 159-229
    • Aubin, J.P.1
  • 4
    • 0024035435 scopus 로고
    • Optimality conditions for maximizations of set valued-functions
    • H. W. Corley, Optimality conditions for maximizations of set valued-functions, J. Optim. Theory Appl. 58 (1988), 1-10.
    • (1988) J. Optim. Theory Appl. , vol.58 , pp. 1-10
    • Corley, H.W.1
  • 5
    • 0010723173 scopus 로고    scopus 로고
    • Open mapping theorem and inversion theorem for γ-paraconvex multivalued mappings and applications
    • A. Jourani, Open mapping theorem and inversion theorem for γ-paraconvex multivalued mappings and applications, Studia Math. 117 (1996), 123-136.
    • (1996) Studia Math. , vol.117 , pp. 123-136
    • Jourani, A.1
  • 6
    • 0026117768 scopus 로고
    • Contingent derivatives of set-valued maps and applications to vector optimization
    • D. T. Luc, Contingent derivatives of set-valued maps and applications to vector optimization, Math. Programming 50 (1991), 99-111.
    • (1991) Math. Programming , vol.50 , pp. 99-111
    • D T, L.1
  • 8
    • 0021466350 scopus 로고
    • Differentiability of relations and differential stability of perturbed optimization problems
    • J. P. Penot, Differentiability of relations and differential stability of perturbed optimization problems, SIAM J. Control Optim. 22 (1984), 529-551.
    • (1984) SIAM J. Control Optim. , vol.22 , pp. 529-551
    • Penot, J.P.1
  • 9
    • 0010756988 scopus 로고
    • On paraconvex multifunctions
    • S. Rolewicz, On paraconvex multifunctions, Oper. Res. Verfahren 31 (1979), 539-546.
    • (1979) Oper. Res. Verfahren , vol.31 , pp. 539-546
    • Rolewicz, S.1
  • 10
    • 0001354139 scopus 로고
    • On γ-paraconvex multifunctions
    • -, On γ-paraconvex multifunctions, Math. Japon. 24 (1979), 293-300.
    • (1979) Math. Japon. , vol.24 , pp. 293-300
  • 11
    • 0026206256 scopus 로고
    • Contingent derivative of the perturbation map in multiobjective optimization
    • D. S. Shi, Contingent derivative of the perturbation map in multiobjective optimization, J. Optim. Theory Appl. 70 (1991), 385-396.
    • (1991) J. Optim. Theory Appl. , vol.70 , pp. 385-396
    • Shi, D.S.1
  • 12
    • 0030443902 scopus 로고    scopus 로고
    • Necessary and sufficient conditions for multiobjective optimization problems
    • A. Taa, Necessary and sufficient conditions for multiobjective optimization problems, Optimization 36 (1996), 97-104.
    • (1996) Optimization , vol.36 , pp. 97-104
    • Taa, A.1
  • 13
    • 0023979752 scopus 로고
    • Sensitivity analysis in multiobjective optimization
    • T. Tanino, Sensitivity analysis in multiobjective optimization, J. Optim. Theory Appl. 56 (1988), 479-499.
    • (1988) J. Optim. Theory Appl. , vol.56 , pp. 479-499
    • Tanino, T.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.