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Article Citation - WoS: 97Citation - Scopus: 147Further Generalizations of the Banach Contraction Principle(Springeropen, 2014) Jleli, Mohamed; Karapinar, Erdal; Samet, BessemWe establish a new fixed point theorem in the setting of Branciari metric spaces. The obtained result is an extension of the recent fixed point theorem established in Jleli and Samet (J. Inequal. Appl. 2014: 38, 2014).Article Citation - WoS: 63Citation - Scopus: 78Fixed Points for Generalized (α, Ψ)-Contractions on Generalized Metric Spaces(Springeropen, 2014) Aydi, Hassen; Karapinar, Erdal; Samet, BessemIn this paper, we introduce some generalized (alpha, psi)-contractive mappings in the setting of generalized metric spaces and, based on the very recent paper (Kirk and Shahzad in Fixed Point Theory Appl. 2013:129, 2013), we omit the Hausdorff hypothesis to prove some fixed point results involving such mappings. Some consequences on existing fixed point theorems are also derived.Article Citation - WoS: 36Citation - Scopus: 39Generalized α-ψ contractive mappings in quasi-metric spaces and related fixed-point theorems(Springeropen, 2014) Bilgili, Nurcan; Karapinar, Erdal; Samet, BessemIn this paper, we characterize alpha-psi contractive mappings in the setting of quasi-metric spaces and investigate the existence and uniqueness of a fixed point of such mappings. We notice that by using our result some fixed-point theorems in the context of G-metric space can be deduced.Article Citation - WoS: 3Citation - Scopus: 6A Short Note on the Equivalence Between 'best Proximity' Points and 'fixed Point' Results(Springeropen, 2014) Jleli, Mohamed; Karapınar, Erdal; Karapinar, Erdal; Samet, Bessem; Karapınar, Erdal; Mathematics; MathematicsIn this short note, we notice that, unexpectedly, some existing fixed point results and recently announced best proximity point results are equivalent.Article Citation - WoS: 16Citation - Scopus: 20Meir-Keeler Type Contractions on Js-Metric Spaces and Related Fixed Point Theorems(Springer Basel Ag, 2018) Karapinar, Erdal; Samet, Bessem; Zhang, DongWe introduce two classes of Meir-Keeler type contractions in the framework of JS-metric spaces introduced by Jleli and Samet (2015). For each class, a fixed point result is derived. Some interesting consequences which follow from our obtained results are discussed.
