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Using KKM technique in set-valued optimization problems and variational-like inequalities

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Abstract

KKM technique has proved a very useful tool in many areas of analysis. This paper aims to use this technique to give some necessary and sufficient conditions for set-valued optimization problems. We also use the KKM technique to introduce sufficient conditions for solution existence of some kinds of variational-like inequalities and thereby setvalued optimization problems.

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Authors and Affiliations

  1. Department of Mathematics, University of Isfahan, P.O. Box 81745-163, Isfahan, Iran

    Malek Abbasi & Mahbubeh Rezaie

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  1. Malek Abbasi
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  2. Mahbubeh Rezaie
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Correspondence to Mahbubeh Rezaie.

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Abbasi, M., Rezaie, M. Using KKM technique in set-valued optimization problems and variational-like inequalities. J. Fixed Point Theory Appl. 18, 77–92 (2016). https://doi.org/10.1007/s11784-015-0263-y

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  • DOI: https://doi.org/10.1007/s11784-015-0263-y

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