Weak and strong convergence results for the modified Noor iteration of three quasi-nonexpansive multivalued mappings in Hilbert spaces
Filomat, Tome 34 (2020) no. 8, p. 2495
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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.
Classification :
54H25, 47H10
Keywords: Weak and strong convergence, Quasi-nonexpansive multivalued mapping, Noor-iteration, inertial technical term, CQ and shrinking projection methods
Keywords: Weak and strong convergence, Quasi-nonexpansive multivalued mapping, Noor-iteration, inertial technical term, CQ and shrinking projection methods
Watcharaporn Chaolamjiak; Suhel Ahmad Khan; Hasanen A Hammad; Hemen Dutta. Weak and strong convergence results for the modified Noor iteration of three quasi-nonexpansive multivalued mappings in Hilbert spaces. Filomat, Tome 34 (2020) no. 8, p. 2495 . doi: 10.2298/FIL2008495C
@article{10_2298_FIL2008495C,
author = {Watcharaporn Chaolamjiak and Suhel Ahmad Khan and Hasanen A Hammad and Hemen Dutta},
title = {Weak and strong convergence results for the modified {Noor} iteration of three quasi-nonexpansive multivalued mappings in {Hilbert} spaces},
journal = {Filomat},
pages = {2495 },
year = {2020},
volume = {34},
number = {8},
doi = {10.2298/FIL2008495C},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2008495C/}
}
TY - JOUR AU - Watcharaporn Chaolamjiak AU - Suhel Ahmad Khan AU - Hasanen A Hammad AU - Hemen Dutta TI - Weak and strong convergence results for the modified Noor iteration of three quasi-nonexpansive multivalued mappings in Hilbert spaces JO - Filomat PY - 2020 SP - 2495 VL - 34 IS - 8 UR - http://geodesic.mathdoc.fr/articles/10.2298/FIL2008495C/ DO - 10.2298/FIL2008495C LA - en ID - 10_2298_FIL2008495C ER -
%0 Journal Article %A Watcharaporn Chaolamjiak %A Suhel Ahmad Khan %A Hasanen A Hammad %A Hemen Dutta %T Weak and strong convergence results for the modified Noor iteration of three quasi-nonexpansive multivalued mappings in Hilbert spaces %J Filomat %D 2020 %P 2495 %V 34 %N 8 %U http://geodesic.mathdoc.fr/articles/10.2298/FIL2008495C/ %R 10.2298/FIL2008495C %G en %F 10_2298_FIL2008495C
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