Some new fixed point theorems for nonexpansive-type mappings in geodesic spaces

Abstract

In this article, we present some new fixed point existence results for nonexpansive-type mappings in geodesic spaces. We also give a number of illustrative examples to settle our claims. We study the asymptotic behavior of Picard iterates generated by these class of mappings under different conditions. Finally, we approximate the solutions of the constrained minimization problem in the setting of Cartan, Alexandrov, and Toponogov (CAT(0)) spaces.

Keywords

• hyperbolic metric space
• nonexpansive mapping
• minimization problem
• 47h10
• 54h25
• 47h09