On fixed points of \(\alpha\)-\(\psi\)-contractive multivalued mappings in cone metric spaces
Summary: We define the notion of \(\alpha^\ast\)-\(\psi\)-contractive mappings for cone metric spaces and obtain fixed points of multivalued mappings in connection with Hausdorff distance functions for closed bounded subsets of cone metric spaces. We obtain some recent results of the literature as corollaries of our main theorem. Moreover, a nontrivial example of an \(\alpha^\ast\)-\(\psi\)-contractive mapping satisfying all conditions of our main result is constructed.
scientific article; zbMATH DE number 6306646
scientific article