Weak stability of Ishikawa iterations for strongly demicontractive mappings in Hilbert spaces
Filomat, Tome 36 (2022) no. 14, p. 4869

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In this article, we establish a weak stability theorem for Ishikawa iterations in Hilbert spaces. Moreover, a strongly demicontractive mapping is presented to illustrate that the Ishikawa iteration of T is weakly T-stable but not T-stable. Our results are new and extend several known results.
DOI : 10.2298/FIL2214869W
Classification : 47H09, 47H10
Keywords: Ishikawa iteration, strongly demicontraction mappings, weakly T−stable, T−stable
Chao Wang; Honglei Fan. Weak stability of Ishikawa iterations for strongly demicontractive mappings in Hilbert spaces. Filomat, Tome 36 (2022) no. 14, p. 4869 . doi: 10.2298/FIL2214869W
@article{10_2298_FIL2214869W,
     author = {Chao Wang and Honglei Fan},
     title = {Weak stability of {Ishikawa} iterations for strongly demicontractive mappings in {Hilbert} spaces},
     journal = {Filomat},
     pages = {4869 },
     year = {2022},
     volume = {36},
     number = {14},
     doi = {10.2298/FIL2214869W},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2214869W/}
}
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