Sensitivity Analysis for Vector Equilibrium Problems under Functional Perturbations
Xiaodong Fan, Cao-zong Cheng, Haijun Wang · Numerical Functional Analysis and Optimization · 2013
This article is devoted to sensitivity analysis for vector equilibrium problems under functional perturbations. We show that the solution mapping is upper semicontinuous. Sufficient conditions for lower semicontinuity and Hölder continuity of the solution mapping are established. Finally, we derive some corollaries for special cases of vector equilibrium problems as examples.