Existence and convergence for a new multivalued hybrid mapping in CAT(κ) spaces

Abstract

Most of the studies about hybrid mappings are carried out for single-valued mappings in Hilbert spaces. We define a new class of multivalued mappings in CAT (kappa) spaces which contains the multivalued generalization of (alpha, beta) - hybrid mappings defined on Hilbert spaces. In this paper, we prove existence and convergence results for a new class of multivalued hybrid mappings on CAT(kappa) spaces which are more general than Hilbert spaces and CAT(0) spaces.