Stability Analysis for Semi-Infinite Vector Optimization Problems under Functional Perturbations
Zai-Yun Peng, Yun-Bin Zhao, Ka Fai Cedric Yiu, Yacong Zhou · Numerical Functional Analysis and Optimization · 2022
This paper aims to study the stability of a class of semi-infinite vector optimization problems (SVOP) under functional perturbations. By using an important hypothesis Hh(p0), a necessary and sufficient condition of Hausdorff continuity for weak efficient solution mappings and certain sufficient conditions for Painlevé-Kuratowski convergence of weak efficient solution sets for SVOP are established under the perturbations of both constraint sets and objective functions.