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Article Citation - WoS: 89Citation - Scopus: 97Modified f-contractions Via α-admissible Mappings and Application To Integral Equations(Univ Nis, Fac Sci Math, 2017) Aydi, Hassen; Karapinar, Erdal; Yazidi, HabibIn this paper, we introduce the concept of a modified F-contraction via alpha-admissible mappings and propose some theorems that guarantee the existence and uniqueness of fixed point for such mappings in the frame of complete metric spaces. We also provide some illustrative examples. Moreover, we consider an application solving an integral equation.Article Citation - WoS: 9Citation - Scopus: 9Fixed Point Theorems for Various Classes of Cyclic Mappings(Hindawi Ltd, 2012) Aydi, Hassen; Karapinar, Erdal; Samet, BessemWe introduce new classes of cyclic mappings and we study the existence and uniqueness of fixed points for such mappings. The presented theorems generalize and improve several existing results in the literature.Article Citation - WoS: 20Citation - Scopus: 49Coupled Coincidence Points in Partially Ordered Cone Metric Spaces With a c-distance(Hindawi Ltd, 2012) Shatanawi, Wasfi; Karapinar, Erdal; Aydi, HassenCho et al. (2012) proved some coupled fixed point theorems in partially ordered cone metric spaces by using the concept of a c-distance in cone metric spaces. In this paper, we prove some coincidence point theorems in partially ordered cone metric spaces by using the notion of a c-distance. Our results generalize several well-known comparable results in the literature. Also, we introduce an example to support the usability of our results.Article Citation - WoS: 9Some Tripled Coincidence Point Theorems for Almost Generalized Contractions in Ordered Metric Spaces(Tamkang Univ, 2013) Aydi, Hassen; Karapinar, Erdal; Mustafa, ZeadIn this paper, we prove tripled coincidence and common fixed point theorems for F: X x X x X -> X and g: X -> X satisfying almost generalized contractions in partially ordered metric spaces. The presented results generalize the theorem of Berinde and Borcut [Tripled fixed point theorems for contractive type mappings in partially ordered metric spaces, Nonlinear Anal. 74 (15) (2011) 4889-4897. Also, some examples are presented.Article Citation - WoS: 103Citation - Scopus: 108On Generalized Α - Ψ-Geraghty Contractions on b-metric Spaces(Walter de Gruyter Gmbh, 2020) Afshari, Hojjat; Aydi, Hassen; Karapinar, ErdalIn this paper, we consider generalized alpha - psi-Geraghty contractive type mappings and investigate the existence and uniqueness of a fixed point for mappings involving such contractions. In particular, we extend, improve and generalize some earlier results in the literature on this topic. An application concerning the existence of an integral equation is also considered to illustrate the novelty of the main result.Article Citation - WoS: 47Citation - Scopus: 64Tripled Fixed Point Results in Generalized Metric Spaces(Hindawi Ltd, 2012) Aydi, Hassen; Karapinar, Erdal; Shatanawi, WasfiWe establish a tripled fixed point result for a mixed monotone mapping satisfying nonlinear contractions in ordered generalized metric spaces. Also, some examples are given to support our result.Article Citation - WoS: 15FIXED POINT RESULTS FOR GENERALIZED α-ψ-CONTRACTIONS IN METRIC-LIKE SPACES AND APPLICATIONS(Texas State Univ, 2015) Aydi, Hassen; Karapinar, ErdalIn this article, we introduce the concept of generalized alpha-psi-contraction in the context of metric-like spaces and establish some related fixed point theorems. As consequences, we obtain some known fixed point results in the literature. Some examples and an application on two-point boundary value problems for second order differential equation are also considered.Article Citation - WoS: 140Citation - Scopus: 156On Interpolative Hardy-Rogers Type Contractions(Mdpi, 2019) Karapinar, Erdal; Alqahtani, Obaid; Aydi, HassenBy using an interpolative approach, we recognize the Hardy-Rogers fixed point theorem in the class of metric spaces. The obtained result is supported by some examples. We also give the partial metric case, according to our result.Article Citation - WoS: 12Citation - Scopus: 14Some Fixed Point Results in gp-metric Spaces(Hindawi Ltd, 2012) Aydi, Hassen; Karapinar, Erdal; Salimi, PeymanFollowing a recent paper of Zand and Nezhad (2011), we establish some fixed point results in GP-metric spaces. The presented theorems generalize and improve several existing results in the literature. Also, some examples are presented.Article Citation - WoS: 19Citation - Scopus: 14Coupled coincidence point results on generalized distance in ordered cone metric spaces(Springer, 2013) Aydi, Hassen; Karapinar, Erdal; Mustafa, ZeadIn this paper, we establish some coupled coincidence point results in the setting of partially ordered cone metric spaces via -distance. We also proved some related coupled common fixed point theorems for such mappings. Our results generalize, extend, and unify several well-known comparable results in the literature regarding this topic. We present some examples to illustrate the concepts and results.
