التفاصيل البيبلوغرافية
| العنوان: |
Convergence, stability and data dependence results for contraction and nonexpansive mappings by a new four step algorithm. |
| المؤلفون: |
Udofia, U. E.1 unwanaudofia.aksu@yahoo.com, Igbokwe, D. I.2 igbokwedi@yahoo.com |
| المصدر: |
Journal of Linear & Topological Algebra. Autumn2021, Vol. 10 Issue 4, p295-321. 27p. |
| مصطلحات موضوعية: |
*NONEXPANSIVE mappings, *BANACH spaces, *ALGORITHMS |
| مستخلص: |
Here we show that the UI-iteration scheme (Udofia and Igbokwe, [24]) can be used to approximate the fixed points of contraction and nonexpansive mappings. we prove a strong and weak convergence of the iteration scheme to the fixed point of contraction and nonexpansive mappings. We also prove that the scheme is G-stable and data dependent. Analytically and with numerical example we show that the UI-iteration scheme has a faster rate of convergence for contraction and nonexpansive mappings than some well known existing iteration schemes in literature. Finally, we apply the UI-iteration scheme to find the solution of constrained convex minimization problem. [ABSTRACT FROM AUTHOR] |
| قاعدة البيانات: |
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