E-optimality and E-duality results for fractional semi-infinite optimization problems having equilibrium constraints

An optimization model having finite number of variables with infinite number of constraints is called a semi-infinite optimization problem. Extensive research is being conducted in this direction, not only due to its remarkable structural features but also because of its various applications in engineering, production, marketing, finance and management. In this article, we focus on a non-smooth multiobjective fractional semi-infinite optimization model with equilibrium constraints. The article presents various findings, starting with the development of E-necessary and E-sufficient optimality conditions for the fractional semi-infinite optimization problem considering Abadie constraint qualification and E-convexity assumptions. Further, E-Wolfe type dual model is formulated for the considered semi-infinite optimization problem, and E-weak, E-strong and E-converse duality results are established under E-convexity assumptions. Additionally, numerical examples have been exemplified at appropriate places to support the results obtained in the article.