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Recent Developments in Vector Optimization pp 467–515Cite as

Extended Pareto Optimality in Multiobjective Problems

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Part of the book series: Vector Optimization ((VECTOROPT,volume 1))

Abstract

This chapter largely discusses some major notions of optimal/efficient solutions in multiobjective optimization and studies general necessary conditions for minimal points of sets and for minimizers of constrained set-valued optimization problems with respect to extended Pareto preference relations.

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Acknowledgements

Research of the first author was partially supported by the NMU Faculty Grant FG-5-54844. Research of the second author was partially supported by the US National Science Foundation under grants DMS-0603846 and DMS-1007132 and by the Australian Research Council under grant DP-12092508.

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Authors and Affiliations

  1. Department of Mathematics & Computer Science, Northern Michigan University, Marquette, MI, 49855, USA

    Truong Q. Bao

  2. Department of Mathematics, Wayne State University, Detroit, MI, 48202, USA

    Boris S. Mordukhovich

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  1. Truong Q. Bao
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  2. Boris S. Mordukhovich
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Correspondence to Boris S. Mordukhovich .

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Editors and Affiliations

  1. Aligarh, 202001, Uttar Pradesh, India

    Qamrul Hasan Ansari

  2. , Department of Applied Mathematics, National Sun Yat-Sen University, Kaohsiung, 80424, Taiwan R.O.C.

    Jen-Chih Yao

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Bao, T.Q., Mordukhovich, B.S. (2012). Extended Pareto Optimality in Multiobjective Problems. In: Ansari, Q., Yao, JC. (eds) Recent Developments in Vector Optimization. Vector Optimization, vol 1. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-21114-0_13

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