FIXED POINT THEOREMS FOR NONLINEAR MAPPINGS RELATED TO MAXIMAL MONOTONE OPERATORS IN BANACH SPACES (Nonlinear Analysis and Convex Analysis)
Fumiaki Kohsaka, Wataru Takahashi · Institutional Repositories DataBase (IRDB) · 2008
In this paper, we study the existence of fixed points of nonspreading map- pings and the approximation of fixed points of firmly nonexpansive type mappings in Banach spaces.Applications to a proximal point algorithm for monotone operators in Banach spaces are also included.2000 Mathematics Subject Classification.Primary $47H10,47H05$ .Key worda and phrases.Firmly nonexpansive mapping, firmly nonexpansive type mapping, flxed point theorem, nonspreading mapping, relatively nonexpansive mapping, resolvent of monotone operator, strongly relatively nonexpansive mapping.