PROXIMAL POINT ALGORITHMS FOR FINDING COMMON FIXED POINTS OF A FINITE FAMILY OF NONEXPANSIVE MULTIVALUED MAPPINGS IN REAL HILBERT SPACES

Mebawondu, A. A

dc.contributor.author	Mebawondu, A. A
dc.date.accessioned	2022-06-28T10:06:12Z
dc.date.available	2022-06-28T10:06:12Z
dc.date.issued	2019
dc.identifier.citation	Mebawondu, A. A. (2019). PROXIMAL POINT ALGORITHMS FOR FINDING COMMON FIXED POINTS OF A FINITE FAMILY OF NONEXPANSIVE MULTIVALUED MAPPINGS IN REAL HILBERT SPACES. Khayyam J. Math. 5 (2019) no. 2, 113–123 DOI:10.22034/kjm.2019.88426	en_US
dc.identifier.uri	http://localhost:8080/xmlui/handle/123456789/288
dc.description.abstract	We start by showing that the composition of fixed point of minimization problem and a finite family of multivalued nonexpansive mapping are equal to the common solution of the fixed point of each of the aforementioned problems, that is, F(J f λ ◦ Ti) = F(J f λ ) ∩ F(Ti) = Γ. Furthermore, we then propose an iterative algorithm and prove weak and strong convergence results for approximating the common solution of the minimization problem and fixed point problem of a multivalued nonexpansive mapping in the framework of real Hilbert space. Our result extends and complements some related results in literature.	en_US
dc.description.sponsorship	Mebawondu, A. A.	en_US
dc.language.iso	en	en_US
dc.publisher	Khayyam Journal of Mathematics	en_US
dc.relation.ispartofseries	5;2
dc.subject	Proximal point algorithms, fixed point, multivalued nonexpansive mapping, Hilbert space	en_US
dc.title	PROXIMAL POINT ALGORITHMS FOR FINDING COMMON FIXED POINTS OF A FINITE FAMILY OF NONEXPANSIVE MULTIVALUED MAPPINGS IN REAL HILBERT SPACES	en_US
dc.type	Article	en_US