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Article Citation - WoS: 29Citation - Scopus: 42Mixed g-monotone Property and Quadruple Fixed Point Theorems in Partially Ordered Metric Spaces(Springer international Publishing Ag, 2012) Mustafa, Zead; Aydi, Hassen; Karapinar, ErdalIn this manuscript, we prove some quadruple coincidence and common fixed point theorems for F : X-4 -> X and g : X -> X satisfying generalized contractions in partially ordered metric spaces. Our results unify, generalize and complement various known results from the current literature. Also, an application to matrix equations is given.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: 31Citation - Scopus: 36New Meir-Keeler Type Tripled Fixed-Point Theorems on Ordered Partial Metric Spaces(Hindawi Ltd, 2012) Aydi, Hassen; Karapinar, ErdalIn this paper, we prove some new Meir-Keeler type tripled fixed-point theorems on a partially ordered complete partial metric space. Also, as application, some results of integral type are given.Article Citation - WoS: 143Citation - Scopus: 141Coupled Fixed Point Results for (ψ, Φ)-Weakly Contractive Condition in Ordered Partial Metric Spaces(Pergamon-elsevier Science Ltd, 2011) Aydi, Hassen; Karapinar, Erdal; Shatanawi, WasfiIn this paper, we prove some coupled fixed point theorems involving a (psi, phi)-weakly contractive condition for mapping having the mixed monotone property in ordered partial metric spaces. These results are analogous to theorems of Van Luong and Xuan Thuan (2011) [10] on the class of ordered partial metric spaces. Also, an application is given to support our results. (C) 2011 Elsevier Ltd. All rights reserved.Article Citation - WoS: 40Citation - Scopus: 36Common Fixed Points for Generalized -Implicit Contractions in Partial Metric Spaces: Consequences and Application(Springer-verlag Italia Srl, 2015) Aydi, Hassen; Jellali, Manel; Karapinar, ErdalIn this paper, we introduce the concept of generalized -admissible pair of mappings generalizing the definition of -admissible mappings presented by Samet et al. (Nonlinear Anal 75:2154-2165, 2012). Based on above, we define generalized -implicit contractions in the setting of partial metric spaces and we provide some common fixed point results for such contractions. We also derive some consequences and corollaries from our obtained results. An application and some examples are presented making effective the new concepts and results.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: 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: 5AN IMPLICIT RELATION FOR MEIR-KEELER TYPE MAPPINGS ON METRIC-LIKE SPACES(Univ Prishtines, 2017) Aydi, Hassen; Felhi, Abdelbasset; Karapinar, Erdal; Alshaikh, H. AliIn this note, we introduce an implicit relation for Meir-Keeler type mappings via auxiliary pair of functions (alpha,psi) in the context of metric-like spaces. We investigate the existence and uniqueness of a common fixed point of such operators. The obtained results extend, improve and unify several existing fixed point results in the literature.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.
