Duality Results for a Class of Constrained Robust Nonlinear Optimization Problems

In this paper, we establish various results of duality for a new class constrained robust nonlinear optimization problems. For problems, involving functionals (path-independent) curvilinear integral type and mixed constraints governed by partial derivatives second order uncertain data, formulate study Wolfe, Mond-Weir dual regard, considering the concept convex vector functional, determined controlled second-order Lagrangians including notion weak efficient solution associated with considered problem, create mathematical context to state prove theorems. Furthermore, an illustrative application is presented.