JNCA: Strong convergence theorems by monotone hybrid method for a family of hemi-relatively nonexpansive mappings in Banach spaces



	Volume 10, Number 3, December 2009, pp. 487-502
Chakkrid Klin-eam, Suthep Suantai and Wataru Takahashi
Key words:
Monotone hybrid method, hemi-relatively nonexpansive mapping, NST-condition, fixed point, Banach space, generalized projection
Mathematices Subject Classification: 47H05, 47H10

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	Abstract:
	In this paper, we prove a strong convergence theorem by using monotone hybrid method for a family of hemi-relatively nonexpansive mappings. Using this theorem, we get some new results for a hemi-relatively nonexpansive mapping or a family of hemi-relatively nonexpansive mappings in a Banach space. Consequently, we obtain strong convergence theorems for a nonexpansive mapping or a family of nonexpansive mappings in a Hilbert space.

Strong convergence theorems by monotone hybrid method for a family of hemi-relatively nonexpansive mappings in Banach spaces