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Geometric Aspects of Banach Spaces and Non-expansive Mappings

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Elementary Fixed Point Theorems

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Abstract

In this chapter, we outline the proof that a reflexive non-square Banach space has fixed point property for non-expansive mappings on bounded closed convex sets. To this end some definitions are in order.

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Correspondence to P. V. Subrahmanyam .

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Subrahmanyam, P.V. (2018). Geometric Aspects of Banach Spaces and Non-expansive Mappings. In: Elementary Fixed Point Theorems. Forum for Interdisciplinary Mathematics. Springer, Singapore. https://doi.org/10.1007/978-981-13-3158-9_9

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