Composition of resolvents and quasi-nonexpansive multivalued mappings in Hadamared spaces

ýThe proximal point algorithmý, ýwhich is a well-known tool for findingý ýminima of convex functionsý, ýis generalized from the classicalý ýHilbert space framework into a nonlinear settingý, ýnamelyý, ýgeodesicý ýmetric spaces of nonpositive curvatureý. ýIn this paper we propose aný ýiterative algorithm for finding the common element of theý ýminimizers of a finite family of convex functions and the common ýfixed points of a finite family of quasi-nonexpansive multivaluedý ýmappings in Hadamardý ýspaces.