Optimality theorems for linear fractional optimization problems involving integral functions defined on $C^n [0,1]$: inequality constraints

We consider a linear fractional optimization problem involving integral functions defined on C n [0, 1], which has a geometric constraint and inequality constraints and obtain optimality theorems for the problem which hold without any constraint qualification.Moreover, we characterize solution set for the problem in terms of sequential Lagrange multipliers of a known solution of the problem.