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Volumn 113, Issue 3, 2002, Pages 583-596

On relations between vector optimization problems and vector variational inequalities

Author keywords

adjacent cones; contingent cones; generalized directional derivatives; T pseudoconvexity; Vector optimization problems; vector variational inequalities

Indexed keywords

VARIATIONAL TECHNIQUES; VECTORS;

EID: 0036113892     PISSN: 00223239     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1015364905959     Document Type: Article
Times cited : (34)

References (18)
  • 1
    • 0000546428 scopus 로고
    • Vector Variational Inequality and Vector Optimization
    • Edited by Y. Sawaragi, K. Inouye, and H. Nakayama, Springer Verlag, Berlin, Germany
    • CHEN, G. Y., and CHENG, G. M., Vector Variational Inequality and Vector Optimization, Toward Interactive and Intelligent Decision Support Systems, Edited by Y. Sawaragi, K. Inouye, and H. Nakayama, Springer Verlag, Berlin, Germany, pp. 408-416, 1987.
    • (1987) Toward Interactive and Intelligent Decision Support Systems , pp. 408-416
    • Chen, G.Y.1    Cheng, G.M.2
  • 2
    • 0001849165 scopus 로고    scopus 로고
    • On Minty Variational Principle
    • Edited by F. Giannessi, S. Komlosi, and T. Rapcsák, Kluwer Academic Publishers, Dordrecht, Netherlands
    • GIANNESSI, F., On Minty Variational Principle, New Trends in Mathematical Programming, Edited by F. Giannessi, S. Komlosi, and T. Rapcsák, Kluwer Academic Publishers, Dordrecht, Netherlands, pp. 93-99, 1998.
    • (1998) New Trends in Mathematical Programming , pp. 93-99
    • Giannessi, F.1
  • 4
    • 0004356078 scopus 로고    scopus 로고
    • On Relations between Vector Variational Inequality and Vector Optimization Problem
    • Edited by X. Q. Yang, A. I. Mees, M. E. Fisher, and L. S. Jennings, Kluwer Academic Publishers, Dordrecht, Netherlands
    • LEE, G. M., On Relations between Vector Variational Inequality and Vector Optimization Problem, Progress in Optimization, Edited by X. Q. Yang, A. I. Mees, M. E. Fisher, and L. S. Jennings, Kluwer Academic Publishers, Dordrecht, Netherlands, pp. 167-179, 2000.
    • (2000) Progress in Optimization , pp. 167-179
    • Lee, G.M.1
  • 5
    • 0027839348 scopus 로고
    • Generalized Convex Functions and Vector Variational Inequalities
    • YANG, X. Q., Generalized Convex Functions and Vector Variational Inequalities, Journal of Optimization Theory and Applications, Vol. 79, pp. 563-580, 1993.
    • (1993) Journal of Optimization Theory and Applications , vol.79 , pp. 563-580
    • Yang, X.Q.1
  • 6
    • 0031315833 scopus 로고    scopus 로고
    • Vector Variational Inequality and Multiobjective Pseudolinear Programming
    • YANG, X. Q., Vector Variational Inequality and Multiobjective Pseudolinear Programming, Journal of Optimization Theory and Applications, Vol. 95, pp. 729-734, 1997.
    • (1997) Journal of Optimization Theory and Applications , vol.95 , pp. 729-734
    • Yang, X.Q.1
  • 9
    • 0000399367 scopus 로고
    • Isotone Tangent Cones and Nonsmooth Optimization
    • WARD, D. E., Isotone Tangent Cones and Nonsmooth Optimization, Optimization, Vol. 18, pp. 769-783, 1987.
    • (1987) Optimization , vol.18 , pp. 769-783
    • Ward, D.E.1
  • 10
    • 84867929571 scopus 로고
    • Convex Subcones of the Contingent Cone in Nonsmooth Calculus and Optimization
    • WARD, D. E., Convex Subcones of the Contingent Cone in Nonsmooth Calculus and Optimization, Transactions of the American Mathematical Society, Vol. 302, pp. 661-682, 1987.
    • (1987) Transactions of the American Mathematical Society , vol.302 , pp. 661-682
    • Ward, D.E.1
  • 11
    • 0004267646 scopus 로고
    • Princeton University Press, Princeton, New Jersey
    • ROCKAFELLAR, R. T., Convex Analysis, Princeton University Press, Princeton, New Jersey, 1970.
    • (1970) Convex Analysis
    • Rockafellar, R.T.1
  • 12
    • 0026627404 scopus 로고
    • Sensitivity Analysis in Nonsmooth Optimization
    • Edited by D. A. Field and V. Komkov, SIAM Publications, Philadelphia, Pennsylvania
    • MORDUKHOVICH, B. S., Sensitivity Analysis in Nonsmooth Optimization, Theoretical Aspects of Industrial Design, Edited by D. A. Field and V. Komkov, SIAM Publications, Philadelphia, Pennsylvania, pp. 32-46, 1992.
    • (1992) Theoretical Aspects of Industrial Design , pp. 32-46
    • Mordukhovich, B.S.1
  • 13
    • 0006506872 scopus 로고
    • Epiderivatives of the Marginal Function in Nonsmooth Parametric Optimization
    • WARD, D. E., Epiderivatives of the Marginal Function in Nonsmooth Parametric Optimization, Optimization, Vol. 31, pp. 47-61, 1994.
    • (1994) Optimization , vol.31 , pp. 47-61
    • Ward, D.E.1
  • 14
    • 0002452953 scopus 로고
    • Alternative Characterizations of Six Kinds of Quasiconvexity in the Nondifferentiable Case with Applications to Nonsmooth Programming
    • Edited by S. Schaible and W. T. Ziemba, Academic Press, New York, NY
    • DIEWERT, W. E., Alternative Characterizations of Six Kinds of Quasiconvexity in the Nondifferentiable Case with Applications to Nonsmooth Programming, Generalized Concavity in Optimization and Economics, Edited by S. Schaible and W. T. Ziemba, Academic Press, New York, NY, pp. 51-93, 1981.
    • (1981) Generalized Concavity in Optimization and Economics , pp. 51-93
    • Diewert, W.E.1
  • 15
    • 0020766555 scopus 로고
    • Some Properties of Nondifferentiable Pseudoconvex Functions
    • KOMLOSI, S., Some Properties of Nondifferentiable Pseudoconvex Functions, Mathematical Programming, Vol. 26, pp. 232-237, 1983.
    • (1983) Mathematical Programming , vol.26 , pp. 232-237
    • Komlosi, S.1
  • 16
    • 0011266585 scopus 로고
    • A Chain Rule for Parabolic Second-Order Epiderivatives
    • WARD, D. E., A Chain Rule for Parabolic Second-Order Epiderivatives, Optimization, Vol. 28, pp. 223-236, 1994.
    • (1994) Optimization , vol.28 , pp. 223-236
    • Ward, D.E.1
  • 17
    • 0002116308 scopus 로고    scopus 로고
    • On the Theory of Vector Optimization and Variational Inequalities: Image Space Analysis and Separation
    • Edited by F. Giannessi, Kluwer Academic Publishers, Dordrecht, Netherlands
    • GIANNESSI, F., Mastroeni, G., and Pellegrini, L., On the Theory of Vector Optimization and Variational Inequalities: Image Space Analysis and Separation, Vector Variational Inequalities and Vector Equilibria, Edited by F. Giannessi, Kluwer Academic Publishers, Dordrecht, Netherlands, pp. 153-215, 1999.
    • (1999) Vector Variational Inequalities and Vector Equilibria , pp. 153-215
    • Giannessi, F.1    Mastroeni, G.2    Pellegrini, L.3
  • 18
    • 0000158189 scopus 로고
    • Semidifferentiable Functions and Necessary Optimally Conditions
    • GIANNESSI, F., Semidifferentiable Functions and Necessary Optimally Conditions, Journal of Optimization Theory and Applications, Vol. 60, pp. 191-241, 1989.
    • (1989) Journal of Optimization Theory and Applications , vol.60 , pp. 191-241
    • Giannessi, F.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.