Local Uniform Linear Convexity with Respect to the Kobayashi Distance
نویسنده
چکیده
Recently, in [4] the author has proved that if B is an open unit ball in a Cartesian product l2× l2 furnished with the lp-norm ‖ · ‖ and kB is the Kobayashi distance on B, then the metric space (B,kB) is locally uniformly linearly convex. In this paper, we introduce this kind of local uniform convexity in bounded convex domains in complex reflexive Banach spaces and we apply this notion in the fixed-point theory of holomorphic mappings.
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