Abdeljawad, Thabet2022-04-072025-09-182022-04-072025-09-182014Abdeljawad, Thabet (2014). "Edelstein-type fixed point theorems in compact TVS-cone metric spaces", Hacettepe Journal of Mathematics and Statistics, Vol. 43, No. 4, pp. 561-569.1303-50102651-477Xhttps://search.trdizin.gov.tr/en/yayin/detay/235725/edelstein-type-fixed-point-theorems-in-compact-tvs-cone-metric-spaceshttps://hdl.handle.net/20.500.12416/14306In this paper we prove two fixed point theorems in compact cone metricspaces over normal cones. The first theorem generalizes Edelstein theorem [8] and is different from the generalization obtained in [11]. Thesecond theorem generalizes the main result in [10] and the first theorem.However, the two theorems fail in different categories. Moreover, different versions of the two theorems are proved in TVS-cone metric spacesby making use of the nonlinear scalarization function used very recentlyby Wei-Shih Du in [A note on cone metric fixed point theory and itsequivalence, Nonlinear Analysis,72(5),2259-2261 (2010).] to prove theequivalence of the Banach contraction principle in cone metric spacesand usual metric spaces.eninfo:eu-repo/semantics/openAccessMatematikArticle2-s2.0-84928239766