Construction of Fixed Points of Asymptotically Nonexpansive Mappings in Uniformly Convex Hyperbolic Spaces

  title={Construction of Fixed Points of Asymptotically Nonexpansive Mappings in Uniformly Convex Hyperbolic Spaces},
  author={Andrei Sipoş},
  journal={Numerical Functional Analysis and Optimization},
  pages={696 - 711}
  • Andrei Sipoş
  • Published 10 August 2020
  • Mathematics
  • Numerical Functional Analysis and Optimization
Abstract Kohlenbach and Leuştean have shown in 2010 that any asymptotically nonexpansive self-mapping of a bounded nonempty UCW-hyperbolic space has a fixed point. In this paper, we adapt a construction due to Moloney in order to provide a sequence that converges strongly to such a fixed point. 
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