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 (k) 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.

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Hacioğlu, Emirhan, Karakaya, Vatan