Convergence theorems and demiclosedness principle for enriched strictly pseuocontractive mappings in real Banach spaces

	Convergence theorems and demiclosedness principle for enriched strictly pseuocontractive mappings in real Banach spaces
International Journal of Nonlinear Analysis and Applications
مقاله 28، دوره 14، شماره 6، شهریور 2023، صفحه 345-355 اصل مقاله (388.64 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22075/ijnaa.2023.28405.3880
نویسندگان
lmo Kalu Agwu^* ؛ Donatus Ikechi Igbokwe
Department of Mathematics, Micheal Okpara University of Agriculture, Umudike, Umuahia, Abia State, Nigeria
چکیده
In this paper, some new weak and strong convergence results of the Mann and Ishikawa iterative schemes for the class of enriched strictly psuedocontractive mappings are established in the setup of q-uniformly smooth Banach spaces. Further, demiclosedness principle for this class of mappings is obtained in the aforementioned space. The results obtained in this paper extend, improve, generalise and unify several well-known results currently announced in the literature.
کلیدواژه‌ها
Fixed point؛ Enriched nonlinear mapping؛ Pseudocontractive mapping؛ Accretive operators؛ demicontractive mappings؛ Lipschitizian؛ Banach space؛ quasi-nonexpansive mappings؛ Hilbert space
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