메뉴 건너뛰기




Volumn 105, Issue 1, 2000, Pages 161-188

Comparison of existence results for efficient points

Author keywords

Efficient points; Existence results; Maximal points; Preorders

Indexed keywords

COMPUTATIONAL GEOMETRY;

EID: 0034349267     PISSN: 00223239     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1004670229860     Document Type: Article
Times cited : (21)

References (36)
  • 1
    • 0020750716 scopus 로고
    • Optimality conditions in nonconical multiple-objective programming
    • 1. HAZEN, G. B., and MORRIN, T. L., Optimality Conditions in Nonconical Multiple-Objective Programming, Journal of Optimization Theory and Applications, Vol. 40, pp. 25-60, 1983.
    • (1983) Journal of Optimization Theory and Applications , vol.40 , pp. 25-60
    • Hazen, G.B.1    Morrin, T.L.2
  • 2
    • 0002390116 scopus 로고
    • Countably orderable sets and their applications in optimization
    • 2. GAJEK, L., and ZAGRODNY, D., Countably Orderable Sets and Their Applications in Optimization, Optimization, Vol. 26, pp. 287-301, 1992.
    • (1992) Optimization , vol.26 , pp. 287-301
    • Gajek, L.1    Zagrodny, D.2
  • 3
    • 0002406837 scopus 로고
    • Polarities and stability in vector optimization
    • Edited by J. Jahn and W. Krabs, Springer Verlag, Heidelberg, Germany
    • 3. DOLECKI, S., and MALIVERT, C., Polarities and Stability in Vector Optimization, Recent Advances and Historical Development of Vector Optimization, Edited by J. Jahn and W. Krabs, Springer Verlag, Heidelberg, Germany, pp. 96-113, 1987.
    • (1987) Recent Advances and Historical Development of Vector Optimization , pp. 96-113
    • Dolecki, S.1    Malivert, C.2
  • 4
    • 0002393937 scopus 로고
    • An existence theorem in vector optimization
    • 4. LUC, D. T., An Existence Theorem in Vector Optimization, Mathematics of Operations Research, Vol. 14, pp. 693-699, 1989.
    • (1989) Mathematics of Operations Research , vol.14 , pp. 693-699
    • Luc, D.T.1
  • 9
    • 0001651139 scopus 로고
    • On the existence of efficient points in locally convex spaces
    • 9. HA, T. X. D., On the Existence of Efficient Points in Locally Convex Spaces, Journal of Global Optimization, Vol. 4, pp. 265-278, 1994.
    • (1994) Journal of Global Optimization , vol.4 , pp. 265-278
    • Ha, T.X.D.1
  • 10
    • 0002510540 scopus 로고
    • Convex cones, minimality notions, and consequences
    • Edited by J. Jahn and W. Krabs, Springer Verlag, Heidelberg, Germany
    • 10. BORWEIN, J. M., Convex Cones, Minimality Notions, and Consequences, Recent Advances and Historical Development of Vector Optimization, Edited by J. Jahn and W. Krabs, Springer Verlag, Heidelberg, Germany, pp. 64-73, 1987.
    • (1987) Recent Advances and Historical Development of Vector Optimization , pp. 64-73
    • Borwein, J.M.1
  • 13
    • 84968480612 scopus 로고
    • Existence theorems for Pareto optimization: Multivalued and Banach space-valued functionals
    • 13. CESARI, L. and SURYANARAYANA, M. B., Existence Theorems for Pareto Optimization: Multivalued and Banach Space-Valued Functionals, Transactions of the American Mathematical Society, Vol. 244, pp. 37-65, 1978.
    • (1978) Transactions of the American Mathematical Society , vol.244 , pp. 37-65
    • Cesari, L.1    Suryanarayana, M.B.2
  • 15
    • 0002471928 scopus 로고
    • Supernormal cones and fixed-point theory
    • 15. ISAC, G., Supernormal Cones and Fixed-Point Theory, Rocky Mountain Journal of Mathematics, Vol. 17, pp. 219-226, 1987.
    • (1987) Rocky Mountain Journal of Mathematics , vol.17 , pp. 219-226
    • Isac, G.1
  • 16
    • 38149147868 scopus 로고
    • Pareto optimization in infinite-dimensional spaces: The importance of nuclear cones
    • 16. ISAC, G., Pareto Optimization in Infinite-Dimensional Spaces: The Importance of Nuclear Cones, Journal of Mathematical Analysis and Applications, Vol. 182, pp. 393-404, 1994.
    • (1994) Journal of Mathematical Analysis and Applications , vol.182 , pp. 393-404
    • Isac, G.1
  • 17
    • 0002602096 scopus 로고
    • Existence conditions of efficient points for multifunctions with values in locally convex spaces ordered by supernormal cones
    • 17. POSTOLICǍ, V., Existence Conditions of Efficient Points for Multifunctions with Values in Locally Convex Spaces Ordered by Supernormal Cones, Studii şi Cercetǎri Matematice, Vol. 41, pp. 325-339, 1989.
    • (1989) Studii şi Cercetǎri Matematice , vol.41 , pp. 325-339
    • Postolicǎ, V.1
  • 18
    • 0000749112 scopus 로고
    • New existence results for efficient points in locally convex spaces
    • 18. POSTOLICǍ, V., New Existence Results for Efficient Points in Locally Convex Spaces, Journal of Global Optimization, Vol. 3, pp. 233-242, 1993.
    • (1993) Journal of Global Optimization , vol.3 , pp. 233-242
    • Postolicǎ, V.1
  • 19
    • 0003362128 scopus 로고
    • Ordered linear spaces
    • Springer Verlag, Berlin, Germany
    • 19. JAMESON, G., Ordered Linear Spaces, Lecture Notes in Mathematics, Springer Verlag, Berlin, Germany, Vol. 141, 1970.
    • (1970) Lecture Notes in Mathematics , vol.141
    • Jameson, G.1
  • 20
    • 0020130217 scopus 로고
    • Existence and characterization of efficient decisions with respect to cones
    • 20. HENIG, M. I., Existence and Characterization of Efficient Decisions with Respect to Cones, Mathematical Programming, Vol. 23, pp. 111-116, 1982.
    • (1982) Mathematical Programming , vol.23 , pp. 111-116
    • Henig, M.I.1
  • 21
  • 22
    • 0017950481 scopus 로고
    • On cone efficiency, cone convexity, and cone compactness
    • 22. HARTLEY, R., On Cone Efficiency, Cone Convexity, and Cone Compactness, SIAM Journal on Applied Mathematics, Vol. 34, pp. 211-222, 1978.
    • (1978) SIAM Journal on Applied Mathematics , vol.34 , pp. 211-222
    • Hartley, R.1
  • 23
    • 0001539943 scopus 로고
    • An existence result for maximizations with respect to cones
    • 23. CORLEY, H. W., An Existence Result for Maximizations with Respect to Cones, Journal of Optimization Theory and Applications, Vol. 31, pp. 277-281, 1980.
    • (1980) Journal of Optimization Theory and Applications , vol.31 , pp. 277-281
    • Corley, H.W.1
  • 24
    • 0002509527 scopus 로고
    • Critères de Fermeture pour l'Image d'un Fermé Non Convexe par une Multiapplication
    • 24. DEDIEU, J. P., Critères de Fermeture pour l'Image d'un Fermé Non Convexe par une Multiapplication, Comptes Rendus des Séances de l'Académie des Sciences, Serie I, Vol. 287, pp. 941-943, 1978.
    • (1978) Comptes Rendus des Séances de l'Académie des Sciences, Serie I , vol.287 , pp. 941-943
    • Dedieu, J.P.1
  • 25
    • 0001279693 scopus 로고
    • Stability for a class of nonlinear optimization problems and applications
    • Edited by F. H. Clarke, V. F. Demyanov, and F. Giannessi, Plenum Press, New York, NY
    • 25. ZǍLINESCU, C., Stability for a Class of Nonlinear Optimization Problems and Applications, Nonsmooth Optimization and Related Topics, Edited by F. H. Clarke, V. F. Demyanov, and F. Giannessi, Plenum Press, New York, NY, pp. 437-458, 1989.
    • (1989) Nonsmooth Optimization and Related Topics , pp. 437-458
    • Zǎlinescu, C.1
  • 26
    • 0021494844 scopus 로고
    • Maximal points with respect to cone dominance in Banach spaces and their existence
    • 26. CHEW, K. L., Maximal Points with Respect to Cone Dominance in Banach Spaces and Their Existence, Journal of Optimization Theory and Applications, Vol. 44, pp. 1-53, 1984.
    • (1984) Journal of Optimization Theory and Applications , vol.44 , pp. 1-53
    • Chew, K.L.1
  • 28
    • 0020708087 scopus 로고
    • On the existence of Pareto efficient points
    • 28. BORWEIN, J. M., On the Existence of Pareto Efficient Points, Mathematics of Operations Research, Vol. 9, pp. 64-73, 1983.
    • (1983) Mathematics of Operations Research , vol.9 , pp. 64-73
    • Borwein, J.M.1
  • 29
    • 0001477199 scopus 로고
    • Stability results for Ekeland's ∈-variational principle and cone extremal solutions
    • 29. ATTOUCH, H., and RIAHI, H., Stability Results for Ekeland's ∈-Variational Principle and Cone Extremal Solutions, Mathematics of Operations Research, Vol. 18, pp. 173-201, 1993.
    • (1993) Mathematics of Operations Research , vol.18 , pp. 173-201
    • Attouch, H.1    Riahi, H.2
  • 30
    • 0001557754 scopus 로고
    • A note on a class of cones ensuring the existence of efficient points in bounded complete sets
    • 30. HA, T. X. D., A Note on a Class of Cones Ensuring the Existence of Efficient Points in Bounded Complete Sets, Optimization, Vol. 31, pp. 141-152, 1994.
    • (1994) Optimization , vol.31 , pp. 141-152
    • Ha, T.X.D.1
  • 32
    • 0000736413 scopus 로고
    • Parametrized multicriteria optimization: Continuity and closedness of optimal multifunctions
    • 32. PENOT, J. P., and STERNA-KARWAT, A., Parametrized Multicriteria Optimization: Continuity and Closedness of Optimal Multifunctions, Journal of Mathematical Analysis and Applications, Vol. 120, pp. 150-168, 1986.
    • (1986) Journal of Mathematical Analysis and Applications , vol.120 , pp. 150-168
    • Penot, J.P.1    Sterna-Karwat, A.2
  • 34
    • 1942427681 scopus 로고
    • Fenchel duality in vector optimization
    • Advances in Optimization, Edited by W. Oettli and D. Pallaschke, Springer, Berlin, Germany
    • 34. MALIVERT, C., Fenchel Duality in Vector Optimization, Advances in Optimization, Edited by W. Oettli and D. Pallaschke, Lecture Notes in Economics and Mathematical Systems, Springer, Berlin, Germany, Vol. 382, 1992.
    • (1992) Lecture Notes in Economics and Mathematical Systems , vol.382
    • Malivert, C.1
  • 35
    • 51249176315 scopus 로고
    • On existence of cone maximal points in real topological linear spaces
    • 35. STERNA-KARWAT, A., On Existence of Cone Maximal Points in Real Topological Linear Spaces, Israel Journal of Mathematics, Vol. 54, pp. 33-41, 1986.
    • (1986) Israel Journal of Mathematics , vol.54 , pp. 33-41
    • Sterna-Karwat, A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.