title: Role of exponential type random invexities for asymptotically sufficient efficiency conditions in semi-infinite multi-objective fractional programming.
abstract: First a new notion of the random exponential Hanson-Antczak type [Formula: see text]-V-invexity is introduced, which generalizes most of the existing notions in the literature, second a random function [Formula: see text] of the second order is defined, and finally a class of asymptotically sufficient efficiency conditions in semi-infinite multi-objective fractional programming is established. Furthermore, several sets of asymptotic sufficiency results in which various generalized exponential type [Formula: see text]-V-invexity assumptions are imposed on certain vector functions whose components are the individual as well as some combinations of the problem functions are examined and proved. To the best of our knowledge, all the established results on the semi-infinite aspects of the multi-objective fractional programming are new, which is a significantly new emerging field of the interdisciplinary research in nature. We also observed that the investigated results can be modified and applied to several special classes of nonlinear programming problems.
authors.affiliation: Department of Mathematics, University of North Texas, Denton, TX 76201 USA.
authors.forename: Ram U
authors.initials: RU
authors.lastname: Verma
authors.affiliation: Department of Mathematics and Statistics, University of South Florida, Tampa, FL 33260 USA.
authors.forename: Youngsoo
authors.initials: Y
authors.lastname: Seol
keywords: Generalized random [Formula: see text]-invex; Infinitely many equality and inequality constraints; Multi-objective fractional programming; Parametric sufficient efficiency conditions; Semi-infinite programming