THAI JOURNAL OF MATHEMATICS, vol.19, no.2, pp.571-581, 2021 (ESCI)
Article / Article
THAI JOURNAL OF MATHEMATICS
Emerging Sources Citation Index (ESCI), Scopus, zbMATH
existence, hybrid mapping, convergence analysis, multivalued mappings, CAT(kappa) spaces, NONEXPANSIVE-MAPPINGS, CONVERGENCE THEOREMS, NONLINEAR MAPPINGS
Yıldız Technical University Affiliated:
The studies about hybrid mappings are mainly focused for single-valued mappings in Hilbert spaces. We define a new class of multivalued mappings in CAT (kappa) spaces which contains the multivalued nonexpansive mappings, alpha-nonexpansive mappings and some hybrid mappings such as (alpha, beta)-hybrid mappings and we study existence and convergence of this new class of mappings on CAT(kappa) spaces which is more general than CAT(0) spaces and also non-Euclidean generalization of Hilbert spaces.