Strong convergence for $\alpha$-nonexpansive mapping using a partial order induced by a function

	Strong convergence for $\alpha$-nonexpansive mapping using a partial order induced by a function
International Journal of Nonlinear Analysis and Applications
مقاله 202، دوره 13، شماره 2، مهر 2022، صفحه 2503-2508 اصل مقاله (317.04 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22075/ijnaa.2021.22013.2314
نویسنده
Reena Jain^*
School of Advanced Sciences and Languages, VIT Bhopal University, India
چکیده
In this work, we introduce a partial ordering on a Banach space induced by a real valued function and prove some convergence theorems for $\alpha$-nonexpansive mapping in a ordered Banach space to a fixed point of mapping using this partial ordering. Moreover we give example to furnish the definition of the partial ordering induced by a real valued function.
کلیدواژه‌ها
$alpha$-nonexpansive mapping؛ Strong Convergence؛ Partial order؛ Fixed point
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