Some Fixed Point Results for A Multivalued Generalization of Generalized Hybrid Mappings in CAT(κ)-Spaces

Abstract

The studies about hybrid mappings are mainly focused on single-valued mappings. Now, we give definition of multivalued generalization of generalized hybrid mappings which is defined in CAT(0) spaces and also studied on CAT($\kappa$) spaces. This new definition s general than multivalued nonexpansive mappings, multivalued hybrid mappings and multivalued nonspreading mappings. Under suitable conditions, we prove some existence and stability results. We also study some convergence of multivalued proximal version of Thianwan iteration scheme for non-self multivalued generalized hybrid mappings in CAT($\kappa $)-spaces