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On the fixed-point theory for local ๐‘˜-pseudocontractions

On the fixed-point theory for local ๐‘˜-pseudocontractions

Two commonly used boundary conditions which imply existence of fixed points for local strong pseudocontractions in Banach spaces are compared, a previous fixed-point theorem for this class of mappings is improved, and an almost fixed-point result is obtained for local pseudocontractions.