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A norm inequality in James’ space and stability of the fixed point property

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In this paper we prove a norm inequality in James’ space J, and use it to show that the fixed point property for nonexpansive mappings is passed on from J… Click to show full abstract

In this paper we prove a norm inequality in James’ space J, and use it to show that the fixed point property for nonexpansive mappings is passed on from J to those Banach spaces X whose Banach–Mazur distance to J satisfies $$d(X,J)<\sqrt{\frac{17+\sqrt{97}}{12}}$$d(X,J)<17+9712.

Keywords: point property; james space; inequality james; point; norm inequality; fixed point

Journal Title: Journal of Fixed Point Theory and Applications
Year Published: 2018

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