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Strong convergence results for fixed points of nearly weak uniformly L-Lipschitzian mappings of I-Dominated mappings | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 5، دوره 11، شماره 1، تیر 2020، صفحه 47-54 اصل مقاله (349.68 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2020.4210 | ||
| نویسندگان | ||
| Adesanmi Mogbademu* 1؛ Jong Kyu Kim2 | ||
| 1Research Group in Mathematics and Applications, Department of Mathematics, University of Lagos, Lagos, Nigeria | ||
| 2Department of Mathematics Educations, Kyungam University, Masan, Kyungnam, Republic of Korea, Korea | ||
| تاریخ دریافت: 02 دی 1396، تاریخ بازنگری: 19 مهر 1398، تاریخ پذیرش: 17 دی 1398 | ||
| چکیده | ||
| In this paper, we prove strong convergence results for a modified Mann iterative process for a new class of I- nearly weak uniformly L-Lipschitzian mappings in a real Banach space. The class of I-nearly weak uniformly L-Lipschitzian mappings is an interesting generalization of the class of nearly weak uniformly L-Lipschitzian mappings which inturn is a generalization of the class of nearly uniformly L-Lipschitzian mappings which inturn generalises uniformly L-Lipschitzian mappings. Our theorems include some very recent results in fixed point theory and applications, in the context of nearly uniformly L-Lipschitzian mappings. | ||
| کلیدواژهها | ||
| Modified Mann iteration process؛ Banach space؛ Fixed point؛ I-nearly weak uniformly L-Lipschitzian | ||
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