### Inequalities in metric spaces with applications

DOI: http://dx.doi.org/10.12775/TMNA.2001.012

#### Abstract

We prove the parallelogram inequalities in metric

spaces and use them to obtain the fixed points of involutions.

spaces and use them to obtain the fixed points of involutions.

#### Keywords

Inequality; metric space; uniform convexity; fixed point; Lipschitzian mapping; involution

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