Iterasi Tiga Langkah pada Pemetaan Asimtotik Non-Ekspansif
Keywords:
Asymptotically Non-Expansive Mapping, Fixed Point, Three Steps Iteration, ConvergentAbstract
Let D is a non-empty, closed, convex, and bounded subset of a uniformly convex Banach space X. Then, an asymptotically non-expansive mapping T: D --> D has a fixed point. By adding certain conditions, we can construct sequence {xn} which is obtained from an iteration such that {xn} converges to a fixed point of T.
ABSTRAK
Misalkan D adalah subhimpunan tak kosong yang tutup, konveks, dan terbatas dari sebuah ruang Banach X yang konveks seragam. Selanjutnya, sebuah pemetaan asimtotik non-ekspansif T: D --> D memiliki sebuah titik tetap. Dengan penambahan kondisi tertentu, dapat dikonstruksi sebuah barisan {xn} dari sebuah iterasi sedemikian sehingga {xn} konvergen menuju suatu titik tetap dari T.
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