H¨older Continuity of Generalized Convex Set-Valued Mappings

By means of the Minkowski function we define a new concept of local H¨older equicontinuityŽrespectively local H¨older continuity.for families consisting of set-valued mappingsŽrespectively for set-valued mappings.between topological linear spaces. The connection between this new concept and the equicontinuity of the familyŽrespectively continuity of the mapping.is investigated for the so-called rationally s-convex set-valued mappings