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Article Citation - WoS: 10Citation - Scopus: 11Fixed Point Theorems Via Auxiliary Functions(Hindawi Publishing Corporation, 2012) Karapinar, Erdal; Salimi, PeymanWe prove new fixed point theorems in the framework of partially ordered metric spaces. The main result is an extension and a generalization of many existing results in the literature. An example is also considered to illustrate the main result.Article Citation - WoS: 1Citation - Scopus: 3Spectral Approach To Derive the Representation Formulae for Solutions of the Wave Equation(Hindawi Publishing Corporation, 2012) Guseinov, Gusein Sh.Using spectral properties of the Laplace operator and some structural formula for rapidly decreasing functions of the Laplace operator, we offer a novel method to derive explicit formulae for solutions to the Cauchy problem for classical wave equation in arbitrary dimensions. Among them are the well-known d'Alembert, Poisson, and Kirchhoff representation formulae in low space dimensions.Article Citation - WoS: 3Citation - Scopus: 7Existence of Periodic Fixed Point Theorems in the Setting of Generalized Quasi-Metric Spaces(Hindawi Publishing Corporation, 2014) Chen, Chi-Ming; Karapinar, Erdal; Rakocevic, VladimirWe introduce the notions of (alpha - phi - psi)-weaker Meir-Keeler contractive mappings and (alpha - phi)- stronger Meir-Keeler contractive mappings. We discuss the existence of periodic points in the setting of generalized quasi-metric spaces. Our results improve, extend, and generalize several results in the literature.Editorial New Contribution To the Advancement of Fixed Point Theory, Equilibrium Problems, and Optimization Problems 2014(Hindawi Publishing Corporation, 2015) Du,W.-S.; Karapinar,E.; Lin,L.-J.; Lee,G.M.[No abstract available]Editorial New Contribution To the Advancement of Fixed Point Theory, Equilibrium Problems, and Optimization Problems(Hindawi Publishing Corporation, 2013) Du, Wei-Shih; Karapinar, Erdal; Lin, Lai-Jiu; Lee, Gue Myung; Tanaka, Tamaki[No Abstract Available]Article Citation - WoS: 22Citation - Scopus: 37The Dea and Intuitionistic Fuzzy Topsis Approach To Departments' Performances: a Pilot Study(Hindawi Publishing Corporation, 2011) Rouyendegh, Babak DaneshvarThis paper processes a unification of Fuzzy TOPSIS and Data Envelopment Analysis (DEA) to select the units with most efficiency. This research is a two-stage model designed to fully rank the organizational alternatives, where each alternative has multiple inputs and outputs. First, the alternative evaluation problem is formulated by Data Envelopment Analysis (DEA) and separately formulates each pair of units. In the second stage, we use the opinion of experts to be applied into a model of group Decision-Making (DM) called the Intuitionistic Fuzzy TOPSIS (IFT) method. The results of both methods are then multiplied to obtain the results. DEA and Intuitionistic Fuzzy TOPSIS ranking do not replace the DEA classification model; rather, it furthers the analysis by providing full ranking in the DEA context for all units by aggregate individual opinions of decision makers for rating the importance of criteria and alternatives.Article Citation - WoS: 16Citation - Scopus: 19Differential Quadrature Solution of Hyperbolic Telegraph Equation(Hindawi Publishing Corporation, 2012) Pekmen, B.; Tezer-Sezgin, M.Differential quadrature method (DQM) is proposed for the numerical solution of one- and two-space dimensional hyperbolic telegraph equation subject to appropriate initial and boundary conditions. Both polynomial-based differential quadrature (PDQ) and Fourier-based differential quadrature (FDQ) are used in space directions while PDQ is made use of in time direction. Numerical solution is obtained by using Gauss-Chebyshev-Lobatto grid points in space intervals and equally spaced and/or GCL grid points for the time interval. DQM in time direction gives the solution directly at a required time level or steady state without the need of iteration. DQM also has the advantage of giving quite good accuracy with considerably small number of discretization points both in space and time direction.
