Abstract

We prove that if F is a finite-dimensional Banach space and X has the super fixed point property for nonexpansive mappings, then F ⊕ X has the super fixed point property with respect to a large class of norms including all l p norms, 1 ⩽ p < ∞ . This provides a solution to the “super-version” of the problem of Khamsi (1989).

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