JNCA: Fixed point theorems for nonlinear mappings of nonexpansive type in Banach spaces



	Volume 10, Number 1, April 2009, pp. 21-32
Takanori Ibaraki and Wataru Takahashi
Key words:
Fixed point, generalized nonexpansive mapping, firmly generalized nonexpansive mapping, Banach space
Mathematices Subject Classification: Primary 47H10, Secondary 47H09, 47H07

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	Abstract:
	In this paper, we introduce two nonlinear mappings of nonexpansive type which are connected with resolvents of maximal monotone operators in a Banach space. We first study some properties of these mappings. Next, we prove fixed point theorems and convergence theorems for these mappings.

Fixed point theorems for nonlinear mappings of nonexpansive type in Banach spaces