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Permanent URI for this collectionhttps://hdl.handle.net/20.500.14411/18

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Author: search.filters.author.Aydi, Hassen

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Now showing 1 - 10 of 49
  • Article
    Citation - WoS: 15
    Citation - Scopus: 54
    FIXED POINT RESULTS FOR GENERALIZED α-ψ-CONTRACTIONS IN METRIC-LIKE SPACES AND APPLICATIONS
    (Texas State Univ, 2015) Aydi, Hassen; Karapinar, Erdal
    In 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: 49
    On Fixed Point Results for Α-Implicit Contractions in Quasi-Metric Spaces and Consequences
    (inst Mathematics & informatics, 2016) Aydi, Hassen; Jellali, Manel; Karapinar, Erdal
    In this paper, we prove some fixed point results involving alpha-implicit contractions in quasi-metric spaces. Moreover, we provide some known results on G-metric spaces. An example and an application on a solution of a nonlinear integral equation are also presented.
  • Article
    Citation - WoS: 5
    AN IMPLICIT RELATION FOR MEIR-KEELER TYPE MAPPINGS ON METRIC-LIKE SPACES
    (Univ Prishtines, 2017) Aydi, Hassen; Felhi, Abdelbasset; Karapinar, Erdal; Alshaikh, H. Ali
    In 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: 28
    Fixed Points on Quasi-Metric Spaces Via Simulation Functions and Consequences
    (Univ Prishtines, 2018) Aydi, Hassen; Felhi, Abdelbasset; Karapinar, Erdal; Alojail, Fatimah A.
    In this paper, we provide some fixed points for triangular alpha-admissible contraction mappings via simulations functions in the class of quasimetric spaces. Some consequences are presented. We also give some illustrated examples.
  • Article
    Citation - WoS: 51
    Citation - Scopus: 55
    Triple Fixed Points in Ordered Metric Spaces
    (int Center Scientific Research & Studies, 2012) Aydi, Hassen; Karapinar, Erdal
    In this paper, we prove triple fixed point theorems in partially ordered metric spaces depended on another function. 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) 4889-48971. Also, we state some examples showing that our results are effective.
  • Article
    Citation - WoS: 202
    A COMMON FIXED POINT FOR WEAK φ-CONTRACTIONS ON <i>b</i>-METRIC SPACES
    (House Book Science-casa Cartii Stiinta, 2012) Aydi, Hassen; Bota, Monica-Felicia; Karapinar, Erdal; Moradi, Sirous
    In 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: 14
    Citation - Scopus: 17
    A Remark on "existence and Uniqueness for a Neutral Differential Problem With Unbounded Delay Via Fixed Point Results F-Metric Spaces"
    (Springer-verlag Italia Srl, 2019-05-14) Aydi, Hassen; Karapinar, Erdal; Mitrovic, Zoran D.; Rashid, Tawseef
    Very recently, Hussain and Kanwal (Trans A Razmadze Math Inst 172(3): 481-490, 2018) proved some (coupled) fixed point results in this setting for a -.-contractive mappings on the setting of F-metric spaces that was initiated by Jleli and Samet (Fixed Point Theory Appl 2018: 128, 2018). In this note, we underline that the proof of Hussain and Kanwal (Trans A Razmadze Math Inst 172(3): 481-490, 2018) has a gap. We provide two examples to illustrate our observation. We also correct the proof and improved the result by replacing a-admissibility by orbital a-admissibility.
  • Article
    Citation - WoS: 106
    Citation - Scopus: 110
    On Generalized Α - Ψ-Geraghty Contractions on <i>b</I>-metric Spaces
    (Walter de Gruyter Gmbh, 2018-01-10) Afshari, Hojjat; Aydi, Hassen; Karapinar, Erdal; Karaplnar, Erdal
    In 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: 105
    Citation - Scopus: 116
    (α<i>,</I>ψ)-meir-keeler Contraction Mappings in Generalized <i>b</I>-metric Spaces
    (Hindawi Ltd, 2018) Karapinar, Erdal; Czerwik, Stefan; Aydi, Hassen
    We present a fixed point theorem for generalized (alpha, Psi)-Meir-Keeler type contractions in the setting of generalized b-metric spaces. The presented results improve, generalize, and unify many existing famous results in the corresponding literature.
  • Article
    Citation - WoS: 51
    Citation - Scopus: 48
    On Common Fixed Points in the Context of Brianciari Metric Spaces
    (Springer Basel Ag, 2015-12-08) Aydi, Hassen; Karapinar, Erdal; Zhang, Dong
    In 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.