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Now showing 1 - 10 of 77
  • Article
    Citation - WoS: 38
    Citation - Scopus: 48
    Fixed Points of Modified f-contractive Mappings in Complete Metric-Like Spaces
    (Hindawi Ltd, 2015) Alsulami, Hamed H.; Karapinar, Erdal; Piri, Hossein
    We introduce the notion of modified F-contractive mappings in the setting of complete metric-like spaces and we investigate the existence and uniqueness of fixed point of such mappings. The presented results unify, extend, and improve several results in the related literature.
  • Article
    Citation - WoS: 43
    Coupled Fixed Points for Meir-Keeler Contractions in Ordered Partial Metric Spaces
    (Hindawi Ltd, 2012) Abdeljawad, Thabet; Aydi, Hassen; Karapinar, Erdal
    In this paper, we prove the existence and uniqueness of a new Meir-Keeler type coupled fixed point theorem for two mappings F : X x X -> X and g : X -> X on a partially ordered partial metric space. We present an application to illustrate our obtained results. Further, we remark that the metric case of our results proved recently in Gordji et al. (2012) have gaps. Therefore, our results revise and generalize some of those presented in Gordji et al. (2012)
  • Article
    Citation - WoS: 16
    Citation - Scopus: 17
    A Generalized Meir-Keeler Contraction on Partial Metric Spaces
    (Hindawi Ltd, 2012) Aydi, Hassen; Karapinar, Erdal; Rezapour, Shahram
    We 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: 7
    Citation - Scopus: 9
    On Cyclic Generalized Weakly c-contractions on Partial Metric Spaces
    (Hindawi Ltd, 2013) Karapinar, Erdal; Rakocevic, Vladimir
    We give new results of a cyclic generalized weakly C-contraction in partial metric space. The results of this paper extend, generalize, and improve some fixed point theorems in the literature.
  • Article
    Citation - WoS: 29
    Citation - Scopus: 32
    Development of Decision Support Model for Selecting a Maintenance Plan Using a Fuzzy Mcdm Approach: a Theoretical Framework
    (Hindawi Ltd, 2018) Abdulgader, Fathia Sghayer; Eid, Rajeh; Rouyendegh (B Erdebilli), Babak Daneshvar
    In complex decision making, using multicriteria decision-making (MCDM) methodologies is the most scientific way to ensure an informed and justified decision between several alternatives. MCDMs have been used in different ways and with several applications that proved their efficiency in achieving this goal. In this research, the advantages and disadvantages of the different MCDM methodologies are studied, along with the different techniques implemented to increase their accuracy and precision. The main aim of the study is to develop a hybrid MCDM process that combines the strengths of several MCDM methods and apply it to choose the best fit maintenance policy/strategy for industrial application. Moreover, fuzzy linguistic terms are utilized in all of the used MCDM techniques in order to eliminate the uncertainty and ambiguity of the results. Through an extensive literature review performed on studies that have used MCDM methods in a hybrid context and using fuzzy linguistic terms, a model is developed to use fuzzy DEMATEL-AHP-TOPSIS hybrid technique. The model with its application is the first of its kind, which combines the strengths of fuzzy DEMATEL in establishing interrelationships between several criteria, as well as performing a pairwise comparison between the criteria for prioritization using the fuzzy AHP method. Thereafter, the alternatives are compared using fuzzy TOPSIS method by establishing negative and positive solutions and calculating the relative closeness for each of the alternatives. Furthermore, six main criteria, twenty criteria, and five alternatives are selected from the literature for the model application.
  • Article
    Citation - WoS: 62
    Best Proximity Points for Generalized α-ψ-Proximal Contractive Type Mappings
    (Hindawi Ltd, 2013) Jleli, Mohamed; Karapinar, Erdal; Samet, Bessem
    We introduce a new class of non-self-contractive mappings. For such mappings, we study the existence and uniqueness of best proximity points. Several applications and interesting consequences of our obtained results are derived.
  • Article
    Citation - WoS: 36
    Citation - Scopus: 62
    Discussion on Α - Ψ Contractions on Generalized Metric Spaces
    (Hindawi Ltd, 2014) Karapinar, Erdal
    We discuss the existence and uniqueness of fixed points of alpha - psi contractive mappings in complete generalized metric spaces, introduced by Branciari. Our results generalize and improve several results in the literature.
  • Article
    Citation - WoS: 6
    Citation - Scopus: 9
    Experimental Simulation-Based Performance Evaluation of an Sms-Based Emergency Geolocation Notification System
    (Hindawi Ltd, 2017) Osebor, Isibor; Misra, Sanjay; Omoregbe, Nicholas; Adewumi, Adewole; Fernandez-Sanz, Luis
    In an emergency, a prompt response can save the lives of victims. This statement generates an imperative issue in emergency medical services (EMS). Designing a system that brings simplicity in locating emergency scenes is a step towards improving response time. This paper therefore implemented and evaluated the performance of an SMS-based emergency geolocation notification system with emphasis on its SMS delivery time and the system's geolocation and dispatch time. Using the RAS metrics recommended by IEEE for evaluation, the designed system was found to be efficient and effective as its reliability stood within 62.7% to 70.0% while its availability stood at 99% with a downtime of 3.65 days/year.
  • Article
    Citation - WoS: 74
    Citation - Scopus: 77
    Ulam-Hyers Stability Results for Fixed Point Problems Via Α-Ψ Mapping in (b)-metric Space
    (Hindawi Ltd, 2013) Bota, Monica-Felicia; Karapinar, Erdal; Mlesnite, Oana
    We will investigate some existence, uniqueness, and Ulam-Hyers stability results for fixed point problems via alpha-psi-contractive mapping of type-(b) in the framework of b-metric spaces. The presented theorems extend, generalize, and unify several results in the literature, involving the results of Samet et al. (2012).
  • Article
    Citation - WoS: 13
    Citation - Scopus: 22
    Demiclosedness Principle for Total Asymptotically Nonexpansive Mappings in cat(0) Spaces
    (Hindawi Ltd, 2014) Karapinar, Erdal; Salahifard, Hero; Vaezpour, S. Mansour
    We prove the demiclosedness principle for a class of mappings which is a generalization of all the forms of nonexpansive, asymptotically nonexpansive, and nearly asymptotically nonexpansive mappings. Moreover, we establish the existence theorem and convergence theorems for modified Ishikawa iterative process in the framework of CAT(0) spaces. Our results generalize, extend, and unify the corresponding results on the topic in the literature.