Optimality And Duality for Semi-Infinite \((h,\varphi)-E-convex\) Programming Problem

In this paper, a semi-infinite single objective programming problem under \((h,\varphi)-E-convexity\) is considered. A new class of function called \((h,\varphi)-E-convexity\) function and its generalizations namely pseudo-\((h,\varphi)-E-convex\) function and quasi-\((h,\varphi)-E-convex\) function is introduced.