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Received August 5, 2016, Accepted December 1, 2016
Abstract. Let X be a Banach space, and B(X) and S(X) be the unit ball and unit sphere of X. In this paper, we study the further properties of some known geometric parameters that related to convexity of B(X), inscribed parallelograms and curves on S(X). The relationships of values of these parameters with normal structures, uniformly non-square are obtained. Some existing results on fixed points of non-expansive mappings are improved.
How to Cite this Article:
Ji Gao, The geometry of Banach spaces and fixed points of non-expansive mappings, Journal of Nonlinear Functional Analysis, Vol. 2017 (2017), Article ID 10, pp. 1-10.