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Fixed Point Theorems for Set-Valued Mappings on TVS-Cone Metric Spaces

Published 20 Aug 2015 in math.GN | (1508.04962v2)

Abstract: In the context of tvs-cone metric spaces, we prove a Bishop-Phelps and a Caristi's type theorem. These results allow us to prove a fixed point theorem for $(\delta, L)$-weak contraction according to a pseudo Hausdorff metric defined by means of a cone metric.

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