@article{Radhakrishnan_Rajesh_2019, title={Existence ofixed points for pointwise eventually asymptotically nonexpansive mappings}, volume={20}, url={https://polipapers.upv.es/index.php/AGT/article/view/10360}, DOI={10.4995/agt.2019.10360}, abstractNote={<p>Kirk introduced the notion of pointwise eventually asymptotically non-expansive mappings and proved that uniformly convex Banach spaces have the fixed point property for pointwise eventually asymptotically non expansive maps. Further, Kirk raised the following question: “Does a Banach space X have the fixed point property for pointwise eventually asymptotically nonexpansive mappings when ever X has the fixed point property for nonexpansive mappings?”. In this paper, we prove that a Banach space X has the fixed point property for pointwise eventually asymptotically nonexpansive maps if X has uniform normal structure or X is uniformly convex in every direction with the Maluta constant D(X) &lt; 1. Also, we study the asymptotic behavior of the sequence {T<sup>n</sup>x} for a pointwise eventually asymptotically nonexpansive map T defined on a nonempty weakly compact convex subset K of a Banach space X whenever X satisfies the uniform Opial condition or X has a weakly continuous duality map.</p>}, number={1}, journal={Applied General Topology}, author={Radhakrishnan, M. and Rajesh, S.}, year={2019}, month={Apr.}, pages={119–133} }