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Editorial Advances on Multivalued Operators and Related Fixed Point Problems(Hindawi Publishing Corporation, 2014) Chen, Chi-Ming; Karapinar, Erdal; Du, Wei-Shih; Aydi, Hassen; Romaguera, Salvador[No Abstract Available]Article Citation - WoS: 6Citation - Scopus: 6Existence of Solutions for a Periodic Boundary Value Problem Via Generalized Weakly Contractions(Hindawi Ltd, 2013) Moradi, Sirous; Karapinar, Erdal; Aydi, HassenWe discuss the existence of solutions for a periodic boundary value problem and for some polynomials. For this purpose, we present some fixed point theorems for weakly and generalized weakly contractive mappings in the setting of partially ordered complete metric spaces.Article Citation - WoS: 3Citation - Scopus: 7Some Almost Generalized (ψ, Φ)-Contractions in g-metric Spaces(Hindawi Ltd, 2013) Aydi, Hassen; Amor, Sana Hadj; Karapinar, ErdalIn this paper, we introduce some almost generalized (psi, phi)-contractions in the setting of G-metric spaces. We prove some fixed points results for such contractions. The presented theorems improve and extend some known results in the literature. An example is also presented.Article Citation - WoS: 11Citation - Scopus: 8Coupled Coincidence Point and Coupled Fixed Point Theorems via Generalized Meir-Keeler Type Contractions(Hindawi Ltd, 2012) Aydi, Hassen; Karapinar, Erdal; Erhan, Inci M.We prove coupled coincidence point and coupled fixed point results of F : X x X -> X and g : X -> X involving Meir-Keeler type contractions on the class of partially ordered metric spaces. Our results generalize some recent results in the literature. Also, we give some illustrative examples and application.Article Citation - WoS: 20Citation - Scopus: 18MEIR-KEELER TYPE CONTRACTIONS FOR TRIPLED FIXED POINTS(Springer, 2012) Aydi, Hassen; Karapinar, Erdal; Vetro, CalogeroIn 2011, Berinde and Borcut [6] introduced the notion of tripled fixed point in partially ordered metric spaces. In our paper, we give some new tripled fixed point theorems by using a generalization of Meir-Keeler contraction.Article Citation - WoS: 48Citation - Scopus: 46On Common Fixed Points in the Context of Brianciari Metric Spaces(Springer Basel Ag, 2017) Aydi, Hassen; Karapinar, Erdal; Zhang, DongIn this paper, we introduce the concept of generalized ()-contractions and generalized ()-Meir-Keeler-contractions in the setting of Brianciari metric spaces. We prove some common fixed point results for such contractions. An example is presented making effective the new concepts and results.Article Citation - WoS: 16Citation - Scopus: 16A Generalized Meir-Keeler Contraction on Partial Metric Spaces(Hindawi Ltd, 2012) Aydi, Hassen; Karapinar, Erdal; Rezapour, ShahramWe introduce a generalization of the Meir-Keeler-type contractions, referred to as generalized Meir-Keeler-type contractions, over partial metric spaces. Moreover, we show that every orbitally continuous generalized Meir-Keeler-type contraction has a fixed point on a 0-complete partial metric space.Article Citation - WoS: 25Citation - Scopus: 22Tripled Fixed Points of Multivalued Nonlinear Contraction Mappings in Partially Ordered Metric Spaces(Hindawi Publishing Corporation, 2011) Abbas, Mujahid; Aydi, Hassen; Karapinar, ErdalBerinde and Borcut (2011), introduced the concept of tripled fixed point for single mappings in partially ordered metric spaces. Samet and Vetro (2011) established some coupled fixed point theorems for multivalued nonlinear contraction mappings in partially ordered metric spaces. In this paper, we obtain existence of tripled fixed point of multivalued nonlinear contraction mappings in the framework of partially ordered metric spaces. Also, we give an example.Article Citation - WoS: 201A COMMON FIXED POINT FOR WEAK φ-CONTRACTIONS ON b-METRIC SPACES(House Book Science-casa Cartii Stiinta, 2012) Aydi, Hassen; Bota, Monica-Felicia; Karapinar, Erdal; Moradi, SirousIn this paper, we give a common fixed point result, for single-valued and multi-valued mappings satisfying a weak phi-contraction in b-metric spaces. Presented theorems extend, generalize and improve some existing results in the literature. Some examples are also given.Article Citation - WoS: 23Citation - Scopus: 32Berinde-Type Generalized Contractions on Partial Metric Spaces(Hindawi Ltd, 2013) Aydi, Hassen; Amor, Sana Hadj; Karapinar, ErdalWe consider generalized Berinde-type contractions in the context of partial metric spaces. Such contractions are also known as generalized almost contractions in the literature. In this paper, we extend, generalize, and enrich the results in this direction. Some examples are presented to illustrate our results.
