E-convex programmings
Author & Affiliation:
P. THANGAVELU (ptvelu12@gmail.com)
Research Department of Mathematics, Aditanagar College, Tiruchendur - 628216 (INDIA)
J. SHEIBA GRACE
Research Department of Mathematics, Aditanagar College, Tiruchendur - 628216 (INDIA)
Keyword:
E-convex sets, E-convex functions, E-epigraph, counter examples, E-convex functions.
Issue Date:
August 2009
Abstract:
Youness introduced the concepts of E-convex sets and E-convex functions and studied their properties. Following this Xiusu Chen and Suneja, Lalitha and Govil studied the applications of E-convex functions. In this paper we show that Theorem 3.1 of Youness [J. Optim. Theory Appl. 102(2)(1999), 439-450] is incorrect by giving some counter examples. We modify Theorem 3.1 of Youness and apply this to solve an E-convex programming problem.
Pages:
455-458
ISSN:
2319-8044 (Online) - 2231-346X (Print)
Source:
PDF:
DOI:
jusps-A
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Copy the following to cite this article:
P. Thangavelu; J. S. Grace, "E-convex programmings", Journal of Ultra Scientist of Physical Sciences, Volume 21, Issue 2, Page Number 455-458, 2018Copy the following to cite this URL:
P. Thangavelu; J. S. Grace, "E-convex programmings", Journal of Ultra Scientist of Physical Sciences, Volume 21, Issue 2, Page Number 455-458, 2018Available from: https://www.ultrascientist.org/paper/1209/
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