Abstract
Abstract.We define a new class of multivalued mappings and prove existence, stability of fixed point sets and convergence results for this class of multivalued hybrid mappings in CAT(k) spaces which are more general than Hilbert spaces and CAT(0) spaces. We also show with an example that this class is not included in the class of multivalued nonexpan-sive mappings, however, interestingly, we see that multivalued version of Thianwan itera-tion is built with this mapping and is strong convergent to its fixed point.
Cuvinte cheie
phrases: Existence of a fixed point
Iterative methods
Convergence
analysis
Hybrid mapping
Multivalued mapping
CAT(k) spaces