Stability in unified semi-infinite vector optimization

摘要

This paper is devoted to the study of Painleve-Kuratowski convergence of constraint sets, minimal and efficient solution sets of a unified semi-infinite vector optimization problem. The convergence is established under the functional perturbations of objective function and constraint maps assuming the continuous convergence of the objective functions and uniform gamma convergence of the constraint maps. Further, examples are formulated to analyze the significance of assumptions in the main results.