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

Authors : Emirhan Hacıoğlu, Vatan Karakaya

Pages : 26-34

View : 14 | Download : 8

Publication Date : 2018-04-15

Article Type : Research Paper

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 CATinsert ignore into journalissuearticles values(0); spaces and also studied on CATinsert ignore into journalissuearticles values($\kappa$); 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 CATinsert ignore into journalissuearticles values($\kappa $);-spaces
Keywords : Multivalued hybrid mapping, Multivalued mapping, Fixed point, Convergence, CAT κ, Spaces