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Existence Theorems in Vector Optimization with Generalized Order

Author

Listed:
  • Nguyen Quang Huy

    (Hanoi Pedagogical University 2)

  • Do Sang Kim

    (Pukyong National University)

  • Nguyen Van Tuyen

    (Hanoi Pedagogical University 2)

Abstract

In the present paper, we establish some results for the existence of optimal solutions in vector optimization in infinite-dimensional spaces, where the optimality notion is understood in the sense of generalized order (may not be convex and/or conical). This notion is induced by the concept of set extremality and covers many of the conventional notions of optimality in vector optimization. Some sufficient optimality conditions for optimal solutions of a class of vector optimization problems, which satisfies the free disposal hypothesis, are also examined.

Suggested Citation

  • Nguyen Quang Huy & Do Sang Kim & Nguyen Van Tuyen, 2017. "Existence Theorems in Vector Optimization with Generalized Order," Journal of Optimization Theory and Applications, Springer, vol. 174(3), pages 728-745, September.
    • Handle: RePEc:spr:joptap:v:174:y:2017:i:3:d:10.1007_s10957-017-1146-8
    DOI: 10.1007/s10957-017-1146-8
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    References listed on IDEAS

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