Some properties of generalized fundamentally nonexpansive mappings in Banach spaces

	Some properties of generalized fundamentally nonexpansive mappings in Banach spaces
International Journal of Nonlinear Analysis and Applications
دوره 12، شماره 2، بهمن 2021، صفحه 1343-1352 اصل مقاله (342.78 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22075/ijnaa.2020.19290.2070
نویسنده
Mohammad Moosaei^*
Department of Mathematics, Faculty of Basic Sciences, Bu-Ali Sina University, Hamedan, Iran
چکیده
In this paper, we introduce a condition on mappings and show that the class of these mappings is broader than both the class of mappings satisfying condition (C) and the class of fundamentally nonexpansive mappings, and it is incomparable with the class of quasi-nonexpansive mappings and the class of mappings satisfying condition (L). Furthermore, we present some convergence theorems and fixed point theorems for mappings satisfying the condition in the setting of Banach spaces. Finally, an example is given to support the usefulness of our results.
کلیدواژه‌ها
Fixed point؛ fundamentally nonexpansive mappings؛ generalized nonexpansive mappings؛ Opial's condition؛ quasi-nonexpansive mappings؛ uniformly convex in every direction Banach spaces؛ weakly compact
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