Weak and strong convergence results for the modified Noor iteration of three quasi-nonexpansive multivalued mappings in Hilbert spaces | Zendy

Watcharaporn Chaolamjiak | Zendy; Suhel Ahmad Khan | Zendy; Hasanen A. Hammad | Zendy; Hemen Dutta | Zendy

Open Access

Weak and strong convergence results for the modified Noor iteration of three quasi-nonexpansive multivalued mappings in Hilbert spaces

Author(s) -

Watcharaporn Chaolamjiak,

Suhel Ahmad Khan,

Hasanen A. Hammad,

Hemen Dutta

Publication year - 2020

Publication title -

filomat

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.449

H-Index - 34

eISSN - 2406-0933

pISSN - 0354-5180

DOI - 10.2298/fil2008495c

Subject(s) - mathematics , hilbert space , convergence (economics) , weak convergence , inertial frame of reference , scheme (mathematics) , projection (relational algebra) , pure mathematics , algorithm , mathematical analysis , computer science , physics , computer security , quantum mechanics , economics , asset (computer security) , economic growth

The paper aims to present an advanced algorithm by taking help of the Noor-iteration scheme along with the inertial technical term for three quasi-nonexpansive multivalued in Hilbert spaces. A weak convergence theorem under certain conditions has been given and added the CQ and shrinking projection methods to our algorithm to obtain certain strong convergence results. Furthermore, numerical experiments are provided by constructing an example and comparison results have also been incorporated.

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