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Genericity and porosity in fixed point theory: a survey of recent results

Genericity and porosity in fixed point theory: a survey of recent results

Abstract We survey recent results regarding genericity and porosity in fixed point theory. These results concern, inter alia , infinite products, nonexpansive mappings, approximate fixed points, contractive mappings, bounded linear regularity, set-valued mappings, holomorphic mappings and weak ergodic theorems. We consider both normed linear spaces and hyperbolic metric spaces.