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Existence ofixed points for pointwise eventually asymptotically nonexpansive mappings

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Existence ofixed points for pointwise eventually asymptotically nonexpansive mappings

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dc.contributor.author Radhakrishnan, M. es_ES
dc.contributor.author Rajesh, S. es_ES
dc.date.accessioned 2019-04-04T08:10:53Z
dc.date.available 2019-04-04T08:10:53Z
dc.date.issued 2019-04-01
dc.identifier.issn 1576-9402
dc.identifier.uri http://hdl.handle.net/10251/118965
dc.description.abstract [EN] 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) < 1. Also, we study the asymptotic behavior of the sequence {Tnx} 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. es_ES
dc.description.sponsorship The authors would like to thank the anonymous referee for the comments and suggestions. The first author acknowledges the University Grants Commission, New Delhi, for providing financial support in the form of project fellow through Ramanujan Institute for Advanced Study in Mathematics, University of Madras, Chennai. es_ES
dc.language Inglés es_ES
dc.publisher Universitat Politècnica de València
dc.relation.ispartof Applied General Topology
dc.rights Reconocimiento - No comercial - Sin obra derivada (by-nc-nd) es_ES
dc.subject Fixed points es_ES
dc.subject Pointwise eventually asymptotically nonexpansive mappings es_ES
dc.subject Uniform normal structure es_ES
dc.subject Uniform Opial condition es_ES
dc.subject Duality mappings es_ES
dc.title Existence ofixed points for pointwise eventually asymptotically nonexpansive mappings es_ES
dc.type Artículo es_ES
dc.date.updated 2019-04-04T06:30:17Z
dc.identifier.doi 10.4995/agt.2019.10360
dc.rights.accessRights Abierto es_ES
dc.description.bibliographicCitation Radhakrishnan, M.; Rajesh, S. (2019). Existence ofixed points for pointwise eventually asymptotically nonexpansive mappings. Applied General Topology. 20(1):119-133. https://doi.org/10.4995/agt.2019.10360 es_ES
dc.description.accrualMethod SWORD es_ES
dc.relation.publisherversion https://doi.org/10.4995/agt.2019.10360 es_ES
dc.description.upvformatpinicio 119 es_ES
dc.description.upvformatpfin 133 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 20
dc.description.issue 1
dc.identifier.eissn 1989-4147
dc.contributor.funder University Grants Commission, India
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