Solvability of ff-complementarity problems with a new exceptional family of elements

In this work, we introduce a new notion of an exceptional family of elements for a JJ-completely continuous field, and utilize this notion to study the solvability for a class of generalized ff-complementarity problems in Banach spaces. Employing the Leray–Schauder alternative theorem and the generalized ff-projection operator introduced by Wu and Huang, we obtain some solvability results for the generalized ff-complementarity problems in Banach spaces under suitable conditions.