메뉴 건너뛰기




Volumn 328, Issue 1, 2007, Pages 281-286

Nonsmooth multiobjective optimization using limiting subdifferentials

Author keywords

Invex function; Limiting subdifferential; Lipschitz function; Multiobjective optimization; Weak Pareto optimality

Indexed keywords


EID: 33845885280     PISSN: 0022247X     EISSN: 10960813     Source Type: Journal    
DOI: 10.1016/j.jmaa.2006.05.026     Document Type: Article
Times cited : (18)

References (20)
  • 1
    • 33845882965 scopus 로고    scopus 로고
    • On generalized convexity and duality in multiobjective programming problems
    • Aghezzaf B. On generalized convexity and duality in multiobjective programming problems. Adv. Modeling Optim. 3 (2001) 7-15
    • (2001) Adv. Modeling Optim. , vol.3 , pp. 7-15
    • Aghezzaf, B.1
  • 2
    • 0038821453 scopus 로고    scopus 로고
    • Generalized invexity and duality in multiobjective programming problems
    • Aghezzaf B., and Hachimi M. Generalized invexity and duality in multiobjective programming problems. J. Global. Optim. 18 (2000) 91-101
    • (2000) J. Global. Optim. , vol.18 , pp. 91-101
    • Aghezzaf, B.1    Hachimi, M.2
  • 5
    • 0002097095 scopus 로고    scopus 로고
    • The notion of invexity in vector optimization: Smooth and nonsmooth case
    • Fifth Symposium on Generalized Convexity. Crouzeix J.-P., Legaz J.-E.M., and Volle M. (Eds). Luminy-Marseille, France, June 17-21, 1996, Kluwer Academic, Dordrecht
    • Giorgi G., and Guerraggio A. The notion of invexity in vector optimization: Smooth and nonsmooth case. In: Crouzeix J.-P., Legaz J.-E.M., and Volle M. (Eds). Fifth Symposium on Generalized Convexity. Luminy-Marseille, France, June 17-21, 1996. Nonconvex Optim. Appl. vol. 27 (1998), Kluwer Academic, Dordrecht 389-405
    • (1998) Nonconvex Optim. Appl. , vol.27 , pp. 389-405
    • Giorgi, G.1    Guerraggio, A.2
  • 6
    • 33645543503 scopus 로고    scopus 로고
    • Sufficiency and duality in nondifferentiable multiobjective programming involving generalized type I functions
    • Hachimi M., and Aghezzaf B. Sufficiency and duality in nondifferentiable multiobjective programming involving generalized type I functions. J. Math. Anal. Appl. 319 (2006) 110-123
    • (2006) J. Math. Anal. Appl. , vol.319 , pp. 110-123
    • Hachimi, M.1    Aghezzaf, B.2
  • 7
    • 49149139478 scopus 로고
    • On sufficiency of Kuhn-Tucker conditions
    • Hanson M.A. On sufficiency of Kuhn-Tucker conditions. J. Math. Anal. Appl. 80 (1981) 545-550
    • (1981) J. Math. Anal. Appl. , vol.80 , pp. 545-550
    • Hanson, M.A.1
  • 8
    • 0023295307 scopus 로고
    • Necessary and sufficient conditions in constrained optimization
    • Hanson M.A., and Mond B. Necessary and sufficient conditions in constrained optimization. Math. Program. 37 (1987) 51-58
    • (1987) Math. Program. , vol.37 , pp. 51-58
    • Hanson, M.A.1    Mond, B.2
  • 9
    • 0002818016 scopus 로고
    • On generalized convex mathematical programming
    • Jeyakumar V., and Mond B. On generalized convex mathematical programming. J. Aust. Math. Soc. Ser. B 34 (1992) 43-53
    • (1992) J. Aust. Math. Soc. Ser. B , vol.34 , pp. 43-53
    • Jeyakumar, V.1    Mond, B.2
  • 10
    • 0028393255 scopus 로고
    • Optimality criteria and duality in multiple-objective optimization involving generalized invexity
    • Kaul R.N., Suneja S.K., and Srivastava N.K. Optimality criteria and duality in multiple-objective optimization involving generalized invexity. J. Optim. Theory Appl. 80 (1994) 465-482
    • (1994) J. Optim. Theory Appl. , vol.80 , pp. 465-482
    • Kaul, R.N.1    Suneja, S.K.2    Srivastava, N.K.3
  • 11
    • 33845881126 scopus 로고    scopus 로고
    • S.K. Mishra, V-invex functions and applications to multiobjective programming problems, PhD thesis, Banaras Hindu University, Varanasi, India, 1995
  • 12
    • 0040350229 scopus 로고    scopus 로고
    • On multiple-objective optimization with generalized univexity
    • Mishra S.K. On multiple-objective optimization with generalized univexity. J. Math. Anal. Appl. 224 (1998) 131-148
    • (1998) J. Math. Anal. Appl. , vol.224 , pp. 131-148
    • Mishra, S.K.1
  • 13
    • 0034544476 scopus 로고    scopus 로고
    • Second order symmetric duality with F-convexity
    • Mishra S.K. Second order symmetric duality with F-convexity. European J. Oper. Res. 127 (2000) 507-518
    • (2000) European J. Oper. Res. , vol.127 , pp. 507-518
    • Mishra, S.K.1
  • 14
    • 29844458709 scopus 로고    scopus 로고
    • Some nondifferentiable multiobjective programming problems
    • Mishra S.K., and Noor M.A. Some nondifferentiable multiobjective programming problems. J. Math. Anal. Appl. 316 (2006) 472-482
    • (2006) J. Math. Anal. Appl. , vol.316 , pp. 472-482
    • Mishra, S.K.1    Noor, M.A.2
  • 15
    • 12744254739 scopus 로고    scopus 로고
    • Optimality and duality for multiple-objective optimization under generalized type I univexity
    • Mishra S.K., Wang S.-Y., and Lai K.K. Optimality and duality for multiple-objective optimization under generalized type I univexity. J. Math. Anal. Appl. 303 (2005) 315-326
    • (2005) J. Math. Anal. Appl. , vol.303 , pp. 315-326
    • Mishra, S.K.1    Wang, S.-Y.2    Lai, K.K.3
  • 16
    • 3943063587 scopus 로고    scopus 로고
    • Nondifferentiable multiobjective programming under generalized d-univexity
    • Mishra S.K., Wang S.-Y., and Lai K.K. Nondifferentiable multiobjective programming under generalized d-univexity. European J. Oper. Res. 160 (2005) 218-226
    • (2005) European J. Oper. Res. , vol.160 , pp. 218-226
    • Mishra, S.K.1    Wang, S.-Y.2    Lai, K.K.3
  • 17
    • 33845908153 scopus 로고    scopus 로고
    • S. Nobakhtian, Proximal characterization of Pareto optima, in: 13th Seminar on Analysis and Its Applications, March 16-17, 2003, University of Isfahan, Iran
  • 18
    • 45449123764 scopus 로고
    • Optimality criteria in mathematical programming involving generalized invexity
    • Rueda N.G., and Hanson M.A. Optimality criteria in mathematical programming involving generalized invexity. J. Math. Anal. Appl. 130 (1988) 375-385
    • (1988) J. Math. Anal. Appl. , vol.130 , pp. 375-385
    • Rueda, N.G.1    Hanson, M.A.2
  • 19
    • 33845864388 scopus 로고    scopus 로고
    • M. Soleimani-damaneh, On the optimality and duality for multiple-objective optimization under generalized type I univexity, submitted for publication
  • 20
    • 4344599720 scopus 로고    scopus 로고
    • Higher-order generalized convexity and duality in nondifferentiable multiobjective mathematical programming
    • Yang X.M., Teo K.L., and Yang X.Q. Higher-order generalized convexity and duality in nondifferentiable multiobjective mathematical programming. J. Math. Anal. Appl. 197 (2004) 48-55
    • (2004) J. Math. Anal. Appl. , vol.197 , pp. 48-55
    • Yang, X.M.1    Teo, K.L.2    Yang, X.Q.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.