H_lder Continuity of the Unique Solution to Quasiequilibrium Problems in Metric Spaces

摘要

We extend and sharpen the result in Ait Mansour and Scrimali (J. Glob. Optim. 40:175_184, 2008) on the H_lder continuity of the solution sets of quasivariational inequalities in Hilbert spaces to the case of quasiequilibrium problems in metric spaces. Applications to some important problems are also provided.