Higher-order semiinfinite fractional programming and parametric duality models

Abstract

In this paper, we construct and develop several second-order parametric duality models for a semiinfinite discrete minmax fractional programming problem based on the next-generation Hanson-Antczak-type generalized second-order invexities. As a matter of fact, the next generation semiinfinite fractional/semiinfinite programming to Mechanical Engineering, Robotics and Robotic Engineering, Health Care and Medical Sciences, and beyond, have a great potential for success against COVID-19 for robust virus-testing and effective medical treatment for all. There is a real urgency for all health scientists and medical doctors, robotic engineers and mechanical engineers to combat the COVID-19 in three stages: Preventive measures (Social distancing, face mask, and lockdown) are not good enough; Anti-body stage for some reasons is not sufficiently clear; and good diet with strict health discipline optimism is moving up.