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Fixed point theory for a class of generalized nonexpansive mappings

Jesús Garcia-falsetTomonari SuzukiEnrique Llorens-fuster

subject

Discrete mathematicsMathematics::Functional AnalysisClass (set theory)Nonexpansive mappingApplied MathematicsMathematics::Optimization and ControlFixed-point theoremFixed pointFixed pointAnalysisDemiclosedness principleMathematics

description

AbstractIn this paper we introduce two new classes of generalized nonexpansive mapping and we study both the existence of fixed points and their asymptotic behavior.

https://doi.org/10.1016/j.jmaa.2010.08.069