IDEAS home Printed from https://ideas.repec.org/p/ins/quaeco/qf04012.html
   My bibliography  Save this paper

Two approaches toward constrained vector optimization and identity of the solutions

Author

Listed:
  • Crespi Giovanni P.

    (Department of Economics, University of Insubria, Italy)

  • Ginchev Ivan

    (Department of Mathematics Varna, Bulgaria)

  • Rocca Matteo

    (Department of Economics, University of Insubria, Italy)

Abstract

In this paper we deal with a Fritz John type constrained vector optimization problem. In spite that there are many concepts of solutions for an unconstrained vector optimization problem, we show the possibility “to double” the number of concepts when a constrained problem is considered. In particular we introduce sense I and sense II isolated minimizers, properly efficient points, efficient points and weakly efficient points. As a motivation leading to these concepts we give some results concerning optimality conditions in constrained vector optimization and stability properties of isolated minimizers and properly efficient points. Our main investigation and results concern relations between sense I and sense II concepts. These relations are proved mostly under convexity type conditions. Key words: Constrained vector optimization, Optimality conditions, Stability, Type of solutions and their identity, Vector optimization and convexity type conditions.

Suggested Citation

  • Crespi Giovanni P. & Ginchev Ivan & Rocca Matteo, 2004. "Two approaches toward constrained vector optimization and identity of the solutions," Economics and Quantitative Methods qf04012, Department of Economics, University of Insubria.
    • Handle: RePEc:ins:quaeco:qf04012
    as

    Download full text from publisher

    File URL: https://www.eco.uninsubria.it/RePEc/pdf/QF2004_21.pdf
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Sumantra Ghoshal & Nitin Nohria, 1989. "Internal differentiation within multinational corporations," Strategic Management Journal, Wiley Blackwell, vol. 10(4), pages 323-337, July.
    2. Anne-Wil Harzing, 2000. "An Empirical Analysis and Extension of the Bartlett and Ghoshal Typology of Multinational Companies," Journal of International Business Studies, Palgrave Macmillan;Academy of International Business, vol. 31(1), pages 101-120, March.
    3. Kendall Roth & Allen J Morrison, 1992. "Implementing Global Strategy: Characteristics of Global Subsidiary Mandates," Journal of International Business Studies, Palgrave Macmillan;Academy of International Business, vol. 23(4), pages 715-735, December.
    4. Jon I Martinez & J Carlos Jarillo, 1991. "Coordination Demands of International Strategies," Journal of International Business Studies, Palgrave Macmillan;Academy of International Business, vol. 22(3), pages 429-444, September.
    5. Tony S. Frost, 2001. "The geographic sources of foreign subsidiaries' innovations," Strategic Management Journal, Wiley Blackwell, vol. 22(2), pages 101-123, February.
    6. Alan M. Rugman & Alain Verbeke, 2005. "A Note on the Transnational Solution and the Transaction Cost Theory of Multinational Strategic Management," Chapters, in: Analysis of Multinational Strategic Management, chapter 2, pages 16-26, Edward Elgar Publishing.
    7. John H Dunning, 1988. "The Eclectic Paradigm of International Production: A Restatement and Some Possible Extensions," Journal of International Business Studies, Palgrave Macmillan;Academy of International Business, vol. 19(1), pages 1-31, March.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Cocito Marco & Gatta Raffaele & Majocchi Antonio & Onetti Alberto, 2004. "Subsidiaries within a High-Tech MNC. A reappraisal of the Role of Functions," Economics and Quantitative Methods qf04011, Department of Economics, University of Insubria.
    2. Michael J. Enright & Venkat Subramanian, 2007. "An organizing framework for MNC subsidiary typologies," Management International Review, Springer, vol. 47(6), pages 895-924, December.
    3. Grøgaard, Birgitte, 2012. "Alignment of strategy and structure in international firms: An empirical examination," International Business Review, Elsevier, vol. 21(3), pages 397-407.
    4. Klaus E. Meyer & Chengguang Li & Andreas P. J. Schotter, 0. "Managing the MNE subsidiary: Advancing a multi-level and dynamic research agenda," Journal of International Business Studies, Palgrave Macmillan;Academy of International Business, vol. 0, pages 1-39.
    5. Breunig, Karl Joachim & Kvålshaugen, Ragnhild & Hydle, Katja Maria, 2014. "Knowing your boundaries: Integration opportunities in international professional service firms," Journal of World Business, Elsevier, vol. 49(4), pages 502-511.
    6. Zeng, Rong & Grøgaard, Birgitte & Steel, Piers, 2018. "Complements or substitutes? A meta-analysis of the role of integration mechanisms for knowledge transfer in the MNE network," Journal of World Business, Elsevier, vol. 53(4), pages 415-432.
    7. Subramaniam, Mohan & Watson, Sharon, 2006. "How interdependence affects subsidiary performance," Journal of Business Research, Elsevier, vol. 59(8), pages 916-924, August.
    8. Liu, Ting & Li, Xizhuo, 2022. "How Do MNCs Conduct Local Technological Innovation in a Host Country? An Examination From Subsidiaries' Perspective," Journal of International Management, Elsevier, vol. 28(3).
    9. Mauri, Alfredo J. & Neiva de Figueiredo, João, 2012. "Strategic Patterns of Internationalization and Performance Variability: Effects of US-Based MNC Cross-Border Dispersion, Integration, and Outsourcing," Journal of International Management, Elsevier, vol. 18(1), pages 38-51.
    10. Scott-Kennel, Joanna & Giroud, Axele, 2015. "MNEs and FSAs: Network knowledge, strategic orientation and performance," Journal of World Business, Elsevier, vol. 50(1), pages 94-107.
    11. Dixit Manjunatha Betaraya & Saboohi Nasim & Joy Mukhopadhyay, 2018. "Subsidiary Innovation in a Developing Economy: Towards a Comprehensive Model and Directions for Future Research," FIIB Business Review, , vol. 7(2), pages 109-125, June.
    12. Šilenskytė, Aušrinė & Kohtamäki, Marko & Dhanaraj, Charles, 2022. "Strategy implementation in the transnational MNC: A critical realist investigation of European and Indian unit collaboration," Journal of Business Research, Elsevier, vol. 152(C), pages 276-289.
    13. Alfredo J. Mauri, 2009. "Influence of MNC Network Configuration Patterns on the Volatility of Firm Performance," Management International Review, Springer, vol. 49(6), pages 691-707, December.
    14. Klaus E. Meyer & Chengguang Li & Andreas P. J. Schotter, 2020. "Managing the MNE subsidiary: Advancing a multi-level and dynamic research agenda," Journal of International Business Studies, Palgrave Macmillan;Academy of International Business, vol. 51(4), pages 538-576, June.
    15. Mauri, Alfredo J. & Sambharya, Rakesh B., 2001. "The impact of global integration on MNC performance: evidence from global industries," International Business Review, Elsevier, vol. 10(4), pages 441-454, August.
    16. Jiang, Fuming & Stening, Bruce W., 2013. "Do indigenous firms incur a liability of localness when operating in their home market? The case of China," Journal of World Business, Elsevier, vol. 48(4), pages 478-489.
    17. Williams, Christopher & Colovic, Ana & Zhu, Jiqing, 2017. "Integration-responsiveness, local hires and subsidiary performance amidst turbulence: Insights from a survey of Chinese subsidiaries," Journal of World Business, Elsevier, vol. 52(6), pages 842-853.
    18. Cerrato, Daniele, 2006. "The multinational enterprise as an internal market system," International Business Review, Elsevier, vol. 15(3), pages 253-277, June.
    19. Galli Geleilate, Jose-Mauricio & Andrews, Daniel S. & Fainshmidt, Stav, 2020. "Subsidiary autonomy and subsidiary performance: A meta-analysis," Journal of World Business, Elsevier, vol. 55(4).
    20. Hogenbirk, Annelies.E. & van Kranenburg, Hans.L., 2006. "Roles of foreign owned subsidiaries in a small economy," International Business Review, Elsevier, vol. 15(1), pages 53-67, February.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:ins:quaeco:qf04012. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Segreteria Dipartimento (email available below). General contact details of provider: https://edirc.repec.org/data/feinsit.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.