Abstract
Kirk and Xu introduced the concept of pointwise eventually nonexpansive maps and raised the question: “Does a Banach space X have the fixed point property for pointwise eventually nonexpansive mappings whenever X has the fixed point property for nonexpansive mappings?” Butsan et al. proved that nearly uniform convex Banach spaces have fixed point property for pointwise eventually nonexpansive mappings. In this paper, we prove that X has the fixed point property for pointwise eventually nonexpansive mappings if X has uniform normal structure or X is uniformly convex in every direction.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
