\(E\)-Convex programming

Authors

  • Liana Lupşa “Babes-Bolyai” University, Cluj-Napoca, Romania
  • Dorel Duca “Babes-Bolyai” University, Cluj-Napoca, Romania

DOI:

https://doi.org/10.33993/jnaat332-774

Keywords:

\(E\)-convex functions, slack 2-convex set with respect to a given set, \(E\)-convex programming problems
Abstract views: 219

Abstract

In [6] one shows that some of the results obtained in [5] on \(E\)-convex programming are incorrect. In this paper we recover these results in the new hypotheses.

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References

Cristescu, G. and Lupşa, L. Non-connected Convexities and Applications, Kluwer Academic Publishers, Dordrecht-Boston-London, 2002. DOI: https://doi.org/10.1007/978-1-4615-0003-2

Duca D., Duca E., Lupşa L. and Blaga, R., E-Convex Functions, Bulletins for Applied & Computer Mathematics, Budapest 2000; BAM - 1804/2000 XCII, pp. 95-101.

Lupşa, L., On a convexity notion, in Seminarul itinerant de ecuaţii funcţionale, aproximare şi convexitate, 1980, 7-8 noiembrie, Timişoara, Timişoara University Publishing House, pp. 127--135, 1980 (in Romanian).

Lupşa, L., Slack convexity with respect to a given set, in Seminarul itinerant de ecuaţii funcţionale, aproximare şi convexitate, 1985, Cluj-Napoca, "Babeş-Bolyai" University Publishing House, pp. 107-114, 1985 (in Romanian).

Younnes, E. A., E-Convex Sets, E-Convex Functions, and E-Convex Programming, J. Optim. Theory Appl., 109, no. 2, pp. 439-450, 2001, https://doi.org/10.1023/A:1021792726715. DOI: https://doi.org/10.1023/A:1021792726715

Yang, X. M., On E-Convex Sets, E-Convex Functions, and E-Convex Programming, J. Optim. Theory Appl., 109, no. 3, pp. 699-704, 2001, https://doi.org/10.1023/A:1017532225395. DOI: https://doi.org/10.1023/A:1017532225395

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Published

2004-08-01

How to Cite

Lupşa, L., & Duca, D. (2004). \(E\)-Convex programming. Rev. Anal. Numér. Théor. Approx., 33(2), 183–187. https://doi.org/10.33993/jnaat332-774

Issue

Vol. 33 No. 2 (2004)

Section

Articles

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Copyright (c) 2015 Journal of Numerical Analysis and Approximation Theory

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