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Topics in Mathematical Analysis and Applications pp 501–522Cite as

Meaned Spaces and a General Duality Principle

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Part of the book series: Springer Optimization and Its Applications ((SOIA,volume 94))

Abstract

We present a new duality principle, in which we do not suppose that the range of the functions to be optimized is a subset of a linear space. The methods used in the proofs of our results are based on the notion of meaned space, which is a generalization of the notion of ordered linear space.

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Author information

Authors and Affiliations

  1. Faculty of Mathematics and Computer Science, Babeş-Bolyai University, No. 1 Mihail Kogalniceanu Street, 400084, Cluj-Napoca, Romania

    József Kolumbán

  2. MIDO Department, Paris Dauphine University, Place de Lattre de Tassigny, 75016, Paris, France

    József J. Kolumbán

Authors
  1. József Kolumbán
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  2. József J. Kolumbán
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Correspondence to József Kolumbán .

Editor information

Editors and Affiliations

  1. Department of Mathematics, National Technical University of Athens, Athens, Greece

    Themistocles M. Rassias

  2. Department of Mathematics, University of Pécs, Pécs, Hungary

    László Tóth

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Kolumbán, J., Kolumbán, J.J. (2014). Meaned Spaces and a General Duality Principle. In: Rassias, T., Tóth, L. (eds) Topics in Mathematical Analysis and Applications. Springer Optimization and Its Applications, vol 94. Springer, Cham. https://doi.org/10.1007/978-3-319-06554-0_21

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