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Hyers-Ulam-Rassias Stability of a Cubic Functional Equation
Abbas Najati 대한수학회 2007 대한수학회보 Vol.44 No.4
In this paper, we will nd out the general solution and in-vestigate the generalized HyersUlamRassias stability problem for thefollowing cubic functional equation3f(x + 3 y) + f(3x y) = 15 f(x + y) + 15 f(x y) + 80 f(y):The concept of Hyers-Ulam-Rassias stability originated from Th. M.Rassias’ stability theorem that appeared in his paper: On the stabilityof the linear mapping in Banach spaces, Proc. Amer. Math. Soc.72(1978), 297--300.
Jordan θ-derivations on Lie triple systems
Abbas Najati 대한수학회 2009 대한수학회보 Vol.46 No.3
In this paper we prove that every Jordan θ-derivation on a Lie triple system is a θ-derivation. Specially, we conclude that every Jordan derivation on a Lie triple system is a derivation. In this paper we prove that every Jordan θ-derivation on a Lie triple system is a θ-derivation. Specially, we conclude that every Jordan derivation on a Lie triple system is a derivation.
Abbas Najati,G. Zamani Eskandani,박춘길 대한수학회 2009 대한수학회보 Vol.46 No.1
In this paper, we investigate homomorphisms in proper JCQ^{*}-triples and derivations on proper JCQ^{*}-triples associated to the following Pexiderized functional equation [f(x+y+z) = f_{0}(x)+ f_{1}(y)+f_{2}(z)]. This is applied to investigate homomorphisms and derivations in proper JCQ^{*}-triples. In this paper, we investigate homomorphisms in proper JCQ^{*}-triples and derivations on proper JCQ^{*}-triples associated to the following Pexiderized functional equation [f(x+y+z) = f_{0}(x)+ f_{1}(y)+f_{2}(z)]. This is applied to investigate homomorphisms and derivations in proper JCQ^{*}-triples.
Optimization of composite pressure vessels with metal liner by adaptive response surface method
Abbas Vafaeesefat 대한기계학회 2011 JOURNAL OF MECHANICAL SCIENCE AND TECHNOLOGY Vol.25 No.11
This paper presents a new strategy to optimize composite pressure vessels with metallic liners using an adaptive response surface method. Finite analysis is used to evaluate the fitness function and constraints. To reduce the computation time, the proposed algorithm creates the response surface (RS) model to find the optimum design. To improve the accuracy of the RS model, the design domain is iteratively reduced and new sample points are added to the RS model. In this way, the accuracy of the RS model is improved close to the optimum point. The genetic algorithm is used to find the reduced design domain and to generate new sample points. The optimization algorithm is first applied to a highly nonlinear function to evaluate its efficiency. It is then used to find the optimal design for a composite pressure vessel with a metallic liner.
Abbas Shokri,Amir Eskandarloo,Maruf Noruzi-Gangachin,Samira Khajeh 대한치과보존학회 2015 Restorative Dentistry & Endodontics Vol.40 No.1
Objectives: This study aimed to compare the accuracy of conventional intraoral (CI) radiography, photostimulable phosphor (PSP) radiography, cone beam computed tomography (CBCT) and multidetector computed tomography (MDCT) for detection of strip and root perforations in endodontically treated teeth. Materials and Methods: Mesial and distal roots of 72 recently extracted molar were endodontically prepared. Perforations were created in 0.2, 0.3, or 0.4 mm diameter around the furcation of 48 roots (strip perforation) and at the external surface of 48 roots (root perforation); 48 roots were not perforated (control group). After root obturation, intraoral radiography, CBCT and MDCT were taken. Discontinuity in the root structure was interpreted as perforation. Two observers examined the images. Data were analyzed using Stata software and Chi-square test. Results: The sensitivity and specificity of CI, PSP, CBCT and MDCT in detection of strip perforations were 81.25% and 93.75%, 85.42% and 91.67%, 97.92% and 85.42%, and 72.92% and 87.50%, respectively. For diagnosis of root perforation, the sensitivity and specificity were 87.50% and 93.75%, 89.58% and 91.67%, 97.92% and 85.42%, and 81.25% and 87.50%, respectively. For detection of strip perforation, the difference between CBCT and all other methods including CI, PSP and MDCT was significant (p < 0.05). For detection of root perforation, only the difference between CBCT and MDCT was significant, and for all the other methods no statistically significant difference was observed. Conclusions: If it is not possible to diagnose the root perforations by periapical radiographs, CBCT is the best radiographic technique while MDCT is not recommended.
Common Fixed Points of Generalized Rational Type Cocyclic Mappings in Multiplicative Metric Spaces
Abbas, Mujahid,De la Sen, Manuel,Nazir, Talat Hindawi Limited 2015 Discrete dynamics in nature and society Vol.2015 No.-
<P>The aim of this paper is to present fixed point result of mappings satisfying a generalized rational contractive condition in the setup of multiplicative metric spaces. As an application, we obtain a common fixed point of a pair of weakly compatible mappings. Some common fixed point results of pair of rational contractive types mappings involved in cocyclic representation of a nonempty subset of a multiplicative metric space are also obtained. Some examples are presented to support the results proved herein. Our results generalize and extend various results in the existing literature.</P>