Strong convergence theorems for a common fixed point of two relatively nonexpansive mappings in a Banach space

• Autores: Somyot Plubtieng, Kasamsuk Ungchittrakool
• Localización: Journal of approximation theory, ISSN 0021-9045, Vol. 149, Nº 2, 2007, págs. 103-115
• Idioma: inglés
• DOI: 10.1016/j.jat.2007.04.014
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• Resumen

  • In this paper, we establish strong convergence theorems for a common fixed point of two relatively nonexpansive mappings in a Banach space by using the hybrid method in mathematical programming. Our results extend and improve the recent ones announced by Matsushita and Takahashi [A strong convergence theorem for relatively nonexpansive mappings in a Banach space, J. Approx. Theory 134 (2005) 257-266], Matinez-yanes and Xu [Strong convergence of the CQ method for fixed point iteration processes, Nonlinear Anal. 64 (2006) 2400-2411], and many others.