eng Ansari Education and Research Society Journal of Ultra Scientist of Physical Sciences August 2009 21 2 455 458 jusps-A 1209 article P. THANGAVELU (ptvelu12@gmail.com) 1 J. SHEIBA GRACE 1 Research Department of Mathematics, Aditanagar College, Tiruchendur - 628216 (INDIA) <p style="text-align: justify;">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.</p> <p style="text-align: justify;">&nbsp;</p> <p>&nbsp;</p> https://www.ultrascientist.org/paper/1209/ E-convex sets E-convex functions E-epigraph counter examples E-convex functions.