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Title: | PROXIMAL POINT ALGORITHMS FOR FINDING COMMON FIXED POINTS OF A FINITE FAMILY OF NONEXPANSIVE MULTIVALUED MAPPINGS IN REAL HILBERT SPACES |
Authors: | Mebawondu, A. A |
Keywords: | Proximal point algorithms, fixed point, multivalued nonexpansive mapping, Hilbert space |
Issue Date: | 2019 |
Publisher: | Khayyam Journal of Mathematics |
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 |
Series/Report no.: | 5;2 |
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. |
URI: | http://localhost:8080/xmlui/handle/123456789/288 |
Appears in Collections: | Mathematics |
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