Strong convergence theorems for an infinite family of nonexpansive mappings in Banach spaces

• Autores: Xiaolong Qin, Yeol Je Cho, Jung Im Kang, Shin Min Kang
• Localización: Journal of computational and applied mathematics, ISSN 0377-0427, Vol. 230, Nº 1, 2009, págs. 121-127
• Idioma: inglés
• DOI: 10.1016/j.cam.2008.10.058
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• Resumen

  • In an infinite-dimensional Hilbert space, the normal Mann�s iteration algorithm has only weak convergence, in general, even for nonexpansive mappings. In order to get a strong convergence result, we modify the normal Mann�s iterative process for an infinite family of nonexpansive mappings in the framework of Banach spaces. Our results improve and extend the recent results announced by many others.