التفاصيل البيبلوغرافية
| العنوان: |
Approximating Fixed Points of Relatively Nonexpansive Mappings via Thakur Iteration. |
| المؤلفون: |
Pragadeeswarar, V., Gopi, R., Sen, M. De la |
| المصدر: |
Symmetry (20738994); Jun2022, Vol. 14 Issue 6, pN.PAG-N.PAG, 16p |
| مصطلحات موضوعية: |
NONEXPANSIVE mappings, BANACH spaces, METRIC spaces, NONLINEAR analysis, FUNCTION spaces, SYMMETRY |
| People: |
VON Neumann, John, 1903-1957 |
| مستخلص: |
The study of symmetry is a major tool in the nonlinear analysis. The symmetricity of distance function in a metric space plays important role in proving the existence of a fixed point for a self mapping. In this work, we approximate a fixed point of noncyclic relatively nonexpansive mappings by using a three-step Thakur iterative scheme in uniformly convex Banach spaces. We also provide a numerical example where the Thakur iterative scheme is faster than some well known iterative schemes such as Picard, Mann, and Ishikawa iteration. Finally, we provide a stronger version of our proposed theorem via von Neumann sequences. [ABSTRACT FROM AUTHOR] |
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