JNCA: Three generalizations of firmly nonexpansive mappings: Their relations and continuity properties



	Volume 10, Number 1, April 2009, pp. 131-147
Koji Aoyama, Fumiaki Kohsaka and Wataru Takahashi
Key words:
Firmly nonexpansive mapping, metric projection, generalized projection, resolvent
Mathematices Subject Classification: 47H09, 47H10, 41A65

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	Abstract:
	The purpose of this paper is to study three generalizations of a firmly nonexpansive mapping, which is called a mapping of type (P), (Q), and (R), respectively. Especially, we focus on relationships among them and continuity properties of them.

Three generalizations of firmly nonexpansive mappings: Their relations and continuity properties