The (G, beta, phi, h(. , .), rho, theta)-Univexities of Higher-Orders with Applications to Parametric Duality Models in Minimax Fractional Programming

Abstract

Based on the recently introduced (see (Verma, 2012)) major higher-order generalizations (G, beta, phi, h(. , .), rho, theta) - univexities, several second-order parametric duality models for a semi-infinite minimax fractional programming problem are developed with appropriate duality results under various generalized second-order (G, beta, phi, h(. , .), rho, theta) - univexity assumptions. The obtained results encompass a large variety of investigations on generalized univexities and their extensions in the literature.