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On E-Convex Sets, E-Convex Functions, and E-Convex Programming

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Abstract

Recently, E-convex sets and E-convex functions were introduced in Ref. 1. However, some results seem to be incorrect. In this note, some counterexamples are given.

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Reference

  1. Youness, E. A., E-Convex Sets, E-Convex Functions, and E-Convex Programming, Journal of Optimization Theory and Applications, Vol. 102, pp. 439-450, 1999.

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Yang, X.M. On E-Convex Sets, E-Convex Functions, and E-Convex Programming. Journal of Optimization Theory and Applications 109, 699–704 (2001). https://doi.org/10.1023/A:1017532225395

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  • DOI: https://doi.org/10.1023/A:1017532225395

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