Scopus İndeksli Yayınlar Koleksiyonu
Permanent URI for this collectionhttps://hdl.handle.net/20.500.12416/8651
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Article Citation - WoS: 6Citation - Scopus: 5Fixed Points of Generalized Contraction Mappings in Cone Metric Spaces(Univ Osijek, dept Mathematics, 2011) Turkoglu, Duran; Abdeljawad, Thabet; Abuloha, Muhib; Abdeljawad, Thabet; MatematikIn this paper, we proved a fixed point theorem and a common fixed point theorem in cone metric spaces for generalized contraction mappings where some of the main results of Ciric in [8, 27] are recovered.Article Citation - WoS: 4Citation - Scopus: 2Locally Convex Valued Rectangular Metric Spaces and the Kannan's Fixed Point Theorem(Eudoxus Press, Llc, 2012) Abdeljawad, Thabet; Abdeljawad, Thabet; Turkoglu, Duran; MatematikRectangular TVS-cone metric spaces are introduced and Kannan's fixed point theorem is proved in these spaces. Two approaches are followed for the proof. At first we prove the theorem by a direct method using the structure of the space itself. Secondly, we use the nonlinear scalarization used recently by Wei-Shih Du in [A note on cone metric fixed point theory and its equivalence, Nonlinear Analysis,72(5),2259-2261 (2010).] to prove the equivalence of the Banach contraction principle in cone metric spaces and usual metric spaces. The proof is done without any normality assumption on the cone of the locally convex topological vector space, and hence generalizing several previously obtained results.Article Citation - WoS: 16Citation - Scopus: 17Fixed Point Theory for Generalized Contractions in Cone Metric Spaces(Elsevier, 2012) Amini-Harandi, A.; Baleanu, D.; Farajzadeh, A. P.; Turkoglu, Duran; Abuloha, Muhib; Abdeljawad, ThabetIn this paper, we prove some fixed point theorems for generalized contractions in cone metric spaces. Our theorems extend some results of Suzuki (2008) [T. Suzuki, A generalized Banach contraction principle that characterizes metric completeness, Proc Amer Math Soc 136(5) (2008), 1861-1869] and Kikkawa and Suzuki (2008) [M. Kikkawa and T. Suzuki, Three fixed point theorems for generalized contractions with constants in complete metric spaces, Nonlinear Anal 69(9) (2008), 2942-2949]. (C) 2011 Elsevier B.V. All rights reserved.Article Citation - WoS: 39Citation - Scopus: 50Kkm Mappings in Cone Metric Spaces and Some Fixed Point Theorems(Pergamon-elsevier Science Ltd, 2010) Abuloha, Muhib; Abdeljawad, Thabet; Turkoglu, DuranIn this paper, we define KKM mappings in cone metric spaces and define NR-cone metric spaces to obtain some fixed point theorems and hence generalize the results obtained in [A. Amini, M. Fakhar, J. Zafarani, KKM mapping in metric spaces, Nonlinear Anal. 60 (2005) 1045-1052]. (C) 2009 Elsevier Ltd. All rights reserved.