Şimşek, NecipSavaş, EkremKarakaya, Vatan2020-11-212020-11-2120131935-0090https://hdl.handle.net/11467/3819In this work, we prove that modular spaces V ?(?; p) defined in [26] have the k-nearly uniform convexity(k - NUC property) when they are endowed with the Luxemburg norm. We also prove that these spaces have the uniform Opial property with the Luxemburg norm. The above investigated geometric properties will enable us to obtain some fixed point results inmodular spaces. © 2013 NSP. Natural Sciences Publishing Cor.eninfo:eu-repo/semantics/closedAccessde la Vallée-Poussin meansk-nearly uniform convexityLuxemburg normThe uniform opial propertyArticle71295300Q1WOS:000312929800036Q42-s2.0-84873453450