Wei, Zhou et He, Qing Hai, Sufficient conditions for error bounds and linear regularity in Banach spaces, Acta mathematica Sinica. English series (Print) , 30(3), 2014, pp. 423-436
In this paper, we study error bounds for lower semicontinuous functions defined on Banach space and linear regularity for finitely many closed subset in Banach spaces. By using Clarke.s subdifferentials and Ekeland variational principle, we establish several sufficient conditions ensuring error bounds and linear regularity in Banach spaces.