Gap Functions and Error Bounds for Weak Generalized Ky Fan Inequalities
G. H. Li, Sichen Li · Numerical Functional Analysis and Optimization · 2018
In this paper, we study a weak generalized Ky Fan inequality with cone constraints through image space analysis. First, we characterize the separation for the weak generalized Ky Fan inequality with cone constraints using the saddle points of generalized Lagrangian function. Then, we use regular weak separation functions to construct gap functions and regularized gap functions for the weak generalized Ky Fan inequality with cone constraints in a general way, and establish its error bounds in terms of these gap functions.