arXiv:1704.05704 Abstract | arXiv Analytics

arXiv:1704.05704 [math.FA]Abstract References Reviews Resources

Existence and approximation of fixed points of vicinal mappings in geodesic spaces

Published 2017-04-19Version 1

We propose the concepts of vicinal mappings and firmly vicinal mappings in metric spaces. We obtain fixed point and convergence theorems for these mappings in complete geodesic spaces with curvature bounded above by one and apply our results to convex optimization in such spaces.

Categories: math.FA, math.OC

Subjects: 47H10, 47J05, 52A41, 90C25

Keywords: fixed point, approximation, complete geodesic spaces, firmly vicinal mappings, metric spaces

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