Abstract
In this paper, we prove fixed point theorems for some generalized nonexpansive self-mappings on a nonempty subset of hyperbolic spaces and approximate a fixed point for such mappings in hyperbolic spaces. Our results extend the concept of Ghoncheh and Razani (Fixed Point Theory Appl 76. http://www.fixedpointtheoryandapplications.com/content/2014/1/76, 2014) from geodesic Ptolemy spaces to hyperbolic spaces.
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