Abstract
The purpose of this paper is to study fixed points for the KKM* family satisfying the a-admissible Meir-Keeler-type set contractions with respect to the set measure σ p of noncompactness in the context of Hausdorff topological vector spaces. Our results generalize or improve many recent fixed point theorems for the KKM family in the literature. Subject class: [2000]46T99,47H10, 54C60, 54H25, 55M20.