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Hadamard well-posed vector optimization problems

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Abstract

In this paper, two kinds of Hadamard well-posedness for vector-valued optimization problems are introduced. By virtue of scalarization functions, the scalarization theorems of convergence for sequences of vector-valued functions are established. Then, sufficient conditions of Hadamard well-posedness for vector optimization problems are obtained by using the scalarization theorems.

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Authors and Affiliations

  1. College of Mathematics and Science, Chongqing University, 400030, Chongqing, China

    S. J. Li & W. Y. Zhang

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  1. S. J. Li
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  2. W. Y. Zhang
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Correspondence to S. J. Li.

Additional information

This research was partially supported by the National Natural Science Foundation of China (grant numbers: 10871216 and 60574073).

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Li, S.J., Zhang, W.Y. Hadamard well-posed vector optimization problems. J Glob Optim 46, 383–393 (2010). https://doi.org/10.1007/s10898-009-9431-1

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  • DOI: https://doi.org/10.1007/s10898-009-9431-1

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