<p>The Goebel-Karlovitz and Maurey theorems are fundamental results in the fixed point theory of nonexpansive mappings. Here, we introduce a class of nonlinear mappings that properly includes nonexpansive mappings, while still satisfying both theorems.</p>

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Goebel-Karlovitz and Maurey Theorems revisited

  • Enrique Llorens-Fuster

摘要

The Goebel-Karlovitz and Maurey theorems are fundamental results in the fixed point theory of nonexpansive mappings. Here, we introduce a class of nonlinear mappings that properly includes nonexpansive mappings, while still satisfying both theorems.