Fixed points of quasi-nonexpansive mappings and best approximation

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dc.contributor.authorNarang, T. D.
dc.contributor.authorChandok, Sumit
dc.date.accessioned2018-04-27T08:22:52Z
dc.date.available2018-04-27T08:22:52Z
dc.date.issued2009
dc.descriptionURL: http://sjam.selcuk.edu.tr/sjam/article/view/237en_US
dc.description.abstractUsing fixed point theory, B.Brosowski [Mathematica (Cluj) 11 (1969), 195-220] proved that if T is a nonexpansive linear operator on a normed linear space X, C a T-invariant subset of X and x a T-invariant point, then the set PC(x) of best C-approximant to x contains a T-invariant point if PC(x) is non-empty, compact and convex. Subsequently, many generalizations of the Brosowskis result have appeared. In this paper, we also prove some extensions of the results of Brosowski and others for quasi-nonexpansive mappings when the underlying spaces are metric linear spaces or convex metric spaces.en_US
dc.identifier.citationNarang, T. D., Chandok, S. (2009). Fixed points of quasi-nonexpansive mappings and best approximation. Selcuk Journal of Applied Mathematics, 10 (2), 75-80.en_US
dc.identifier.endpage80
dc.identifier.issn1302-7980en_US
dc.identifier.startpage75
dc.identifier.urihttps://hdl.handle.net/20.500.12395/10480
dc.identifier.volume10
dc.language.isoenen_US
dc.publisherSelcuk University Research Center of Applied Mathematicsen_US
dc.relation.ispartofSelcuk Journal of Applied Mathematicsen_US
dc.relation.publicationcategoryMakale - Kategori Belirleneceken_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.selcuk20240510_oaigen_US
dc.subjectBest approximationen_US
dc.subjectEn iyi yaklaşımen_US
dc.subjectApproximatively compact seten_US
dc.subjectYaklaşık olarak kompakt seten_US
dc.subjectLocally convex metric linear spaceen_US
dc.subjectLokal olarak dışbükey metrik doğrusal uzayen_US
dc.subjectConvex metric spaceen_US
dc.subjectKonveks metrik boşluken_US
dc.subjectStarshaped seten_US
dc.subjectYıldız şekilli seten_US
dc.titleFixed points of quasi-nonexpansive mappings and best approximationen_US
dc.typeArticleen_US

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