An Existence Theorem in Vector Optimization

  • Dinh The Luc

    Institut Für Angewandte Mathematik, Universität Erlangen-Nürnberg, Martensstr. 3, 8520 Erlangen, Federal Republic of Germany and Departamento de Matematicas, Apartado Postal 14-740, Centro de Investigacion del IPN, Mexico, 14, D.F., CP 07000, Mexico

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Published Online:https://doi.org/10.1287/moor.14.4.693

Dedicated to Professor Andras Prekopa on his sixtieth birthday

A general theorem which covers several recent known results on the existence of efficient solutions is established for vector optimization problems in infinite-dimensional spaces with arbitrary ordering cones.

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