University of KashanMathematics Interdisciplinary Research2538-36392120170601Remarks on the Paper ``Coupled Fixed Point Theorems for Single-Valued Operators in b-Metric Spaces''183411710.22052/mir.2017.34117ENZoranKadelburgUniversity of Belgrade,
Faculty of Mathematics,
Studentski trg 16, 11000 Beograd,
SerbiaStojanRadenovicUniversity of Belgrade,
Faculty of Mechanical Engineering,
Kraljice Marije 16, 11000 Beograd,
SerbiaMuhammadSarwarDepartment of Mathematics,
University of Malakand, Chakdara,
Dir (Lower), Khyber Pakhtunkhwa,
Pakistan, 18800Journal Article20160627In this paper, we improve some recent coupled fixed point results for single-valued operators in the framework of ordered b-metric spaces established by Bota et al. [M-F. Bota, A. Petrusel, G. Petrusel and B. Samet, Coupled fixed point theorems for single-valued operators in b-metric spaces, Fixed Point Theory Appl. (2015) 2015:231]. Also, we prove that Perov-type fixed point theorem in ordered generalized $b$-metric spaces is equivalent with Ran-Reurings-type theorem in ordered b-metric spaces.University of KashanMathematics Interdisciplinary Research2538-36392120170601Convergence and Stability of Modified Random SP-Iteration for A Generalized Asymptotically Quasi-Nonexpansive Mappings9214456410.22052/mir.2017.70306.1050ENAhmedRashwanDepartment of Mathematics, Faculty of Science, Assuit University, Assuit 71516, EgyptHasanen AbuelmagdHammadDepartment of Mathematics,
Faculty of Science,
Sohag University, Sohag
82524, EgyptJournal Article20161214The purpose of this paper is to study the convergence and the almost sure T-stability of the modified SP-type random iterative algorithm in a separable Banach spaces. The Bochner in-tegrability of random fixed points of this kind of random operators, the convergence and the almost sure T-stability for this kind of generalized asymptotically quasi-nonexpansive random mappings are obtained. Our results are stochastic generalizations of the many deterministic results.University of KashanMathematics Interdisciplinary Research2538-36392120170601Hartley Series Direct Method for Variational Problems23314079210.22052/mir.2017.40792ENAbbasSaadatmandiDepartment of Applied Mathematics, Faculty of Mathematical Sciences, University of Kashan, Kashan, I R Iran0000-0002-7744-7770Journal Article20161104The computational method based on using the operational matrix of an orthogonal function for solving variational problems is computer oriented. In this approach, a truncated Hartley series together with the operational matrix of integration and integration of the cross product of two cas vectors are used for finding the solution of variational problems. Two illustrative examples are included to demonstrate the validity and applicability of the technique.University of KashanMathematics Interdisciplinary Research2538-36392120170601New Expansion for Certain Isomers of Various Classes of Fullerenes33434461510.22052/mir.2017.74726.1053ENMortezaFaghaniDepartment of Mathematics,
Payame Noor University,
P.O.Box 19395-3697,
Tehran, IranEhsanPourhadiSchool of Mathematics,
Iran University of Science and Technology,
P.O.Box 16846-13114,
Tehran, IranJournal Article20161003This paper is dedicated to propose an algorithm in order to generate the certain isomers of some well-known fullerene bases. Furthermore, we enlist the bipartite edge frustration correlated with some of symmetrically distinct infinite families of fullerenes generated by the offered process.University of KashanMathematics Interdisciplinary Research2538-36392120170601Improvement of Optical Properties in Hexagonal Index-guiding Photonic Crystal Fiber for Optical Communications45573350410.22052/mir.2017.33504ENSaeedOlyaeeNano-photonics and Optoelectronics Research Laboratory (NORLab),
Faculty of Electrical and Engineering,
Shahid Rajaee Teacher Training University (SRTTU),
Tehran, I R IranMahmoodSeifouriNano-photonics and Optoelectronics Research Laboratory (NORLab),
Faculty of Electrical and Engineering,
Shahid Rajaee Teacher Training University (SRTTU),
Tehran, I R IranAliNikoosohbatNano-photonics and Optoelectronics Research Laboratory (NORLab),
Faculty of Electrical and Engineering,
Shahid Rajaee Teacher Training University (SRTTU),
Tehran, I R IranJournal Article20150922Waveguides with low confinement loss, low chromatic dispersion, and low nonlinear effects are used in optical communication systems. Optical fibers can also be employed in such systems. Besides optical fibers, photonic crystal fibers are also highly suitable transmission media for optical communication systems. In this paper, we introduce two new designs of index-guiding photonic crystal fiber (IGPCF) with characteristics appropriate for optical communications. In the first proposed design with a hexagonal structure having a defect at the center, the chromatic dispersion at the wavelength of 1550 nm is less than 1 ps/(nm.km). In the second design with a hexagonal structure having air holes with unequal diameters, nearly zero dispersion at the wavelength range of 1370 to 1380 nm is achieved. At the same time, for the latter design, at the wavelength of 1550 nm, the chromatic dispersion slope is1 ps/(km.nm), the confinement loss is less than 10<sup>-9</sup> dB/km, and the nonlinear coefficient reaches 3.690 W<sup>-1</sup>.km<sup>-1</sup>.University of KashanMathematics Interdisciplinary Research2538-36392120170601Sufficient Conditions for a New Class of Polynomial Analytic Functions of Reciprocal Order alpha59694474210.22052/mir.2017.67848.1047ENMohammadTaatiDepartment of Mathematics,
Payame Noor University,
P.O.Box 19395-3697, Tehran, IranSirousMoradiDepartment of Mathematics,
Faculty of Science,
Arak University,
Arak 38156-8-8349, IranShahramNajafzadehDepartment of Mathematics,
Payame Noor University,
P.O.Box 19395-3697, Tehran, IranJournal Article20161121In this paper, we consider a new class of analytic functions in the unit disk using polynomials of order alpha. We give some sufficient conditions for functions belonging to this<br />class.University of KashanMathematics Interdisciplinary Research2538-36392120170601Ordered S-Metric Spaces and Coupled Common Fixed Point Theorems of Integral Type Contraction71844474410.22052/mir.2017.53130.1028ENAbdolsattarGholidahnehDepartment of Mathematics, Qaemshahr Branch, Islamic Azad Univer-
sity, Qaemshahr, IranShabanSedghiDepartment of Mathematics, Qaemshahr Branch, Islamic Azad University, Qaemshahr,
IranTatjanaDosenovicFaculty of Technology, University of Novi Sad, SerbiaStojanRadenovicFaculty of Mechanical Engineering, University of Belgrade, Kraljice Marije
16, 11120 Beograd, Serbia,
Department of Mathematics, University of Novi Pazar, Novi Pazar, SerbiaJournal Article20160428In the present paper, we introduces the notion of integral type contractive mapping with respect to ordered S-metric space and prove some coupled common fixed point results of integral type contractive mapping in ordered S-metric space. Moreover, we give an example to support our main result.