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Volumn 108, Issue 3, 2001, Pages 571-586

Simplified optimality conditions for minimizing the difference of vector-valued functions

Author keywords

Generalized conjugation; Generalized convexity; Nonconvex functions; Phi subdifferentials

Indexed keywords

AXIOMATIC APPROACH; GENERALIZED CONJUGATION; GENERALIZED CONVEXITY; MINIMIZATION PROBLEMS; NON-CONVEX MINIMIZATION; NONCONVEX FUNCTIONS; OPTIMALITY CONDITIONS; PHI-SUBDIFFERENTIAL; SUBDIFFERENTIALS; VECTOR-VALUED FUNCTION;

EID: 0035534787     PISSN: 00223239     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1017535424813     Document Type: Article
Times cited : (29)

References (20)
  • 2
    • 0007112061 scopus 로고    scopus 로고
    • Simplified global optimally conditions in generalized theory
    • Edited by J. P. Crouzeix et al., Kluwer Academic Publishers, Dordrecht, Holland
    • FLORES-BÁZAN, F., and MARTINEZ-LEGAZ, J. E., Simplified Global Optimally Conditions in Generalized Theory, Generalized Convexity, Generalized Monotonicity: Recent Results, Edited by J. P. Crouzeix et al., Kluwer Academic Publishers, Dordrecht, Holland, pp. 305-329, 1998.
    • (1998) Generalized Convexity, Generalized Monotonicity: Recent Results , pp. 305-329
    • Flores-Bázan, F.1    Martinez-Legaz, J.E.2
  • 3
    • 0002911084 scopus 로고
    • D.C. optimization: Theory, methods, and algorithms
    • Edited by R. Horst and P. M. Pardalos, Kluwer Academic Publishers, Dordrecht, Holland
    • TUY, H., D.C. Optimization: Theory, Methods, and Algorithms, Handbook of Global Optimization, Edited by R. Horst and P. M. Pardalos, Kluwer Academic Publishers, Dordrecht, Holland, pp. 149-216, 1995.
    • (1995) Handbook of Global Optimization , pp. 149-216
    • Tuy, H.1
  • 5
    • 0002191897 scopus 로고
    • From convex optimization to nonconvex optimization: Necessary and sufficient conditions for global optimality
    • Edited by F. H. Clarke, V. F. Dem'yanov, and F. Giannessi, Plenum, New York, NY
    • HIRIART-URRUTY, J. B., From Convex Optimization to Nonconvex Optimization: Necessary and Sufficient Conditions for Global Optimality, Nonsmooth Optimization and Related Topics, Edited by F. H. Clarke, V. F. Dem'yanov, and F. Giannessi, Plenum, New York, NY, pp. 219-239, 1989.
    • (1989) Nonsmooth Optimization and Related Topics , pp. 219-239
    • Hiriart-Urruty, J.B.1
  • 6
    • 0002540528 scopus 로고
    • On necessary and sufficient conditions for global optimality
    • TUY, H., and OETTLI, W., On Necessary and Sufficient Conditions for Global Optimality, Revista de Matemáticas Aplicadas, Vol. 15, pp. 39-41, 1994.
    • (1994) Revista de Matemáticas Aplicadas , vol.15 , pp. 39-41
    • Tuy, H.1    Oettli, W.2
  • 7
    • 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, Holland
    • 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: Mathematical Theories, Edited by F. Giannessi, Kluwer Academic Publishers, Dordrecht, Holland, pp. 153-215, 1999.
    • (1999) Vector Variational Inequalities and Vector Equilibria: Mathematical Theories , pp. 153-215
    • Giannessi, F.1    Mastroeni, G.2    Pellegrini, L.3
  • 11
    • 0007112062 scopus 로고
    • Sandwich theorems for semicontinuous operators
    • BORWEIN, J. M., and THÉRA, M., Sandwich Theorems for Semicontinuous Operators, Canadian Mathematical Bulletin, Vol. 35, pp. 463-474, 1992.
    • (1992) Canadian Mathematical Bulletin , vol.35 , pp. 463-474
    • Borwein, J.M.1    Théra, M.2
  • 12
    • 84972049104 scopus 로고
    • A formula on the approximate subdifferential of the difference of convex functions
    • MARTINEZ-LEGAZ, J. E., and SEEGER, A., A Formula on the Approximate Subdifferential of the Difference of Convex Functions, Bulletin of the Australian Mathematical Society, Vol. 45, pp. 37-41, 1992.
    • (1992) Bulletin of the Australian Mathematical Society , vol.45 , pp. 37-41
    • Martinez-Legaz, J.E.1    Seeger, A.2
  • 14
    • 0007101783 scopus 로고
    • Kolmogorov conditions for vectorial optimization problems
    • OETTLI, W., Kolmogorov Conditions for Vectorial Optimization Problems, OR Spektrum, Vol. 17, pp. 227-229, 1995.
    • (1995) OR Spektrum , vol.17 , pp. 227-229
    • Oettli, W.1
  • 15
    • 0007109105 scopus 로고    scopus 로고
    • Global optimality conditions for minimizing differences of functions
    • Institut für Statistik, Wirtschaftsuniversität Wien, 1998.
    • DÜR, M., Global Optimality Conditions for Minimizing Differences of Functions, Forschungsbericht 57, Institut für Statistik, Wirtschaftsuniversität Wien, 1998.
    • Forschungsbericht , vol.57
    • Dür, M.1
  • 16
    • 84973992764 scopus 로고
    • A fenchel-rockafellar type duality theorem for maximization
    • SINGER, I., A Fenchel-Rockafellar Type Duality Theorem for Maximization, Bulletin of the Australian Mathematical Society, Vol. 20, pp. 193-198, 1979.
    • (1979) Bulletin of the Australian Mathematical Society , vol.20 , pp. 193-198
    • Singer, I.1
  • 17
    • 0018680287 scopus 로고
    • A duality principle for nonconvex optimization and the calculus of variations
    • TOLAND, J. F., A Duality Principle for Nonconvex Optimization and the Calculus of Variations, Archive for Rational Mechanics and Analysis, Vol. 71, pp. 41-61, 1979.
    • (1979) Archive for Rational Mechanics and Analysis , vol.71 , pp. 41-61
    • Toland, J.F.1
  • 19
    • 0007008935 scopus 로고    scopus 로고
    • Conjugate functions for convex and nonconvex duality
    • OETTLI, W., and SCHLÄGER, D., Conjugate Functions for Convex and Nonconvex Duality, Journal of Global Optimization, Vol. 13, pp. 337-347, 1998.
    • (1998) Journal of Global Optimization , vol.13 , pp. 337-347
    • Oettli, W.1    Schläger, D.2
  • 20
    • 0007064093 scopus 로고    scopus 로고
    • Technical Report 98-04, Departamento de Ingeniería Matemática, Universidad de Concepción, Concepción, Chile
    • FLORES-BAZÁN, F., On a Class of Phi-Convex Functions, Technical Report 98-04, Departamento de Ingeniería Matemática, Universidad de Concepción, Concepción, Chile, 1998.
    • (1998) On A Class of Phi-convex Functions
    • Flores-Bazán, F.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.