@misc{10498/35606, year = {2024}, url = {http://hdl.handle.net/10498/35606}, abstract = {Thispaperisdevotedtostudyrobustefficiencyintermsofvariationalinequalityforaclassof multi-dimensional multi-objective first-order PDE-constrained fractional control optimization problems with data uncertainty (MMFP). We derive a robust controlled vector variational inequality (VI) together with its weak form and discuss equivalence between the solutions of (VI) and (MMFP) via imposing the suitable assumptions. Later on, we study a sufficient condition for the robust weak efficient solution of (MMFP) to be its robust efficient solution under the strict convexity assumption and give some applications to illustrate the established results.}, publisher = {Polska Akademia Nauk}, keywords = {fractional control optimization problem}, keywords = {convexity}, keywords = {robust efficient solution}, keywords = {uncertainty}, keywords = {variational inequality}, title = {Robust controlled vector variational inequalities for multi-dimensional fractional control optimization problems}, doi = {10.24425/ACS.2024.149664}, author = {Jayswal, Anurag and Baranwal, Ayushi and Arana Jiménez, Manuel}, }