New fixed point results of some enriched contractions in CAT(0) spaces

Anju Panwar; Pinki Lamba; Vladimir Rakočević; Dhananjay Gopal;


Enriched contractions, a class that contains the Picard -Banach contractions and some nonexpansive mappings, are generalized from Banach space framework into a nonlinear context, namely, geodesic metric spaces of nonpositive curvature. We establish general implications that extend the well-known results for enriched mappings formed on Banach spaces. We also look at the results for fixed points involving the contractions i.e., the limit shadowing property and well-posedness as well as some instances to back up our findings.

Vol. 24 (2023), No. 3, pp. 1477-1493
DOI: 10.18514/MMN.2023.4159

Download: MMN-4159