University of Kashan
Mathematics Interdisciplinary Research
2538-3639
2476-4965
2
1
2017
06
01
Remarks on the Paper ``Coupled Fixed Point Theorems for Single-Valued Operators in b-Metric Spaces''
1
8
EN
Zoran
Kadelburg
University of Belgrade
Faculty of Mathematics
kadelbur@matf.bg.ac.rs
Stojan
Radenovic
University of Belgrade
Faculty of Mechanical Engineering
radens@beotel.rs
Muhammad
Sarwar
Department of Mathematics, University of Malakand
sarwarswati@gmail.com
10.22052/mir.2017.34117
In this paper, we improve some recent coupled fixed point results<br />for single-valued operators in the framework of ordered $b$-metric<br />spaces established by Bota et al. [M-F. Bota, A. Petrusel, G.<br />Petrusel and B. Samet, Coupled fixed point theorems for<br />single-valued operators in b-metric spaces, Fixed Point Theory<br />Appl. (2015) 2015:231]. Also, we prove that Perov-type fixed point<br />theorem in ordered generalized $b$-metric spaces is equivalent<br />with Ran-Reurings-type theorem in ordered $b$-metric spaces.
Vector-valued metric,ordered $b$-metric space,coupled fixed point,integral equation,well-posed fixed point problem
https://mir.kashanu.ac.ir/article_34117.html
https://mir.kashanu.ac.ir/article_34117_19cd984494f700f7386f297cf2421a30.pdf
University of Kashan
Mathematics Interdisciplinary Research
2538-3639
2476-4965
2
1
2017
06
01
Convergence and Stability of Modified Random SP-Iteration for A Generalized Asymptotically Quasi-Nonexpansive Mappings
9
21
EN
Ahmed
Rashwan
Department of Mathematics, Faculty of Science, Assuit University, Assuit 71516, Egypt
rashwan10@gmail.com
Hasanen
Abuelmagd
Hammad
Department of Mathematics,
Faculty of Science,
Sohag University, Sohag
82524, Egypt
h_elmagd89@yahoo.com
10.22052/mir.2017.70306.1050
The purpose of this paper is to study the convergence and the almost sure T-stability of the modied SP-type random iterative algorithm in a separable Banach spaces. The Bochner in-tegrability of andom xed 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.
almost sure T-stability,separable Banach spaces,random modified SP-iteration,generalized asymptotically quasi-nonexpansive,random fixed point
https://mir.kashanu.ac.ir/article_44564.html
https://mir.kashanu.ac.ir/article_44564_a77172732ebdc11046a16577b4a42f00.pdf
University of Kashan
Mathematics Interdisciplinary Research
2538-3639
2476-4965
2
1
2017
06
01
Hartley Series Direct Method for Variational Problems
23
31
EN
Abbas
Saadatmandi
0000-0002-7744-7770
Department of Applied Mathematics, Faculty of Mathematical Sciences, University of Kashan, Kashan, I R Iran
a.saadatmandi@gmail.com
10.22052/mir.2017.40792
The computational method based on using the operational matrix of an<br />orthogonal function for solving variational problems is computer<br />oriented. In this approach, a truncated Hartley series together with<br />the operational matrix of integration and integration of the cross<br />product of two cas vectors are used for finding the solution of<br />variational problems. Two illustrative examples are included to<br />demonstrate the validity and applicability of the technique.
Hartley series,operational matrix,Numerical methods,calculus of variations
https://mir.kashanu.ac.ir/article_40792.html
https://mir.kashanu.ac.ir/article_40792_931f8bf99deb896469e4c2213c7c3d49.pdf
University of Kashan
Mathematics Interdisciplinary Research
2538-3639
2476-4965
2
1
2017
06
01
New Expansion for Certain Isomers of Various Classes of Fullerenes
33
43
EN
Morteza
Faghani
Payame Noor University
m_faghani@pnu.ac.ir
Ehsan
Pourhadi
Iran University of Science and Technology
10.22052/mir.2017.74726.1053
This paper is dedicated to propose an algorithm in order to generate the certain isomers of some well-known<br /> fullerene bases. Furthermore, we enlist the bipartite edge frustration correlated with some of symmetrically<br /> distinct innite families of fullerenes generated by the oered process.
Fullerene,edge frustration,planar graph
https://mir.kashanu.ac.ir/article_44615.html
https://mir.kashanu.ac.ir/article_44615_65ffe6cd563631d8c7200937a1e29550.pdf
University of Kashan
Mathematics Interdisciplinary Research
2538-3639
2476-4965
2
1
2017
06
01
Improvement of Optical Properties in Hexagonal Index-guiding Photonic Crystal Fiber for Optical Communications
45
57
EN
Saeed
Olyaee
Shahid Rajaee Teacher Training University
s_olyaee@srttu.edu
Mahmood
Seifouri
Shahid Rajaee Teacher Training University
mahmood.seifouri@srttu.edu
Ali
Nikoosohbat
Shahid Rajaee Teacher Training University
a.nikoosohbat@srttu.edu
10.22052/mir.2017.33504
Waveguides 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 10-9 dB/km, and the nonlinear coefficient reaches 3.690 W-1.km-1.
Hexagonal,index-guiding,chromatic dispersion,photonic crystal fiber,nonlinear coefficient
https://mir.kashanu.ac.ir/article_33504.html
https://mir.kashanu.ac.ir/article_33504_e18da2da425baecd152b85ec8b4a50ff.pdf
University of Kashan
Mathematics Interdisciplinary Research
2538-3639
2476-4965
2
1
2017
06
01
Sufficient Conditions for a New Class of Polynomial Analytic Functions of Reciprocal Order alpha
59
69
EN
Mohammad
Taati
Payame Noor University
m_taati@pnu.ac.ir
Sirous
Moradi
Arak University
s-moradi@araku.ac.ir
Shahram
Najafzadeh
Payame Noor University
najafzadeh1234@yahoo.ie
10.22052/mir.2017.67848.1047
In 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.
Polynomial analytic functions,starlike functions,Meromorphic functions
https://mir.kashanu.ac.ir/article_44742.html
https://mir.kashanu.ac.ir/article_44742_93eee58b264fec230639cc10d2909733.pdf
University of Kashan
Mathematics Interdisciplinary Research
2538-3639
2476-4965
2
1
2017
06
01
Ordered S-Metric Spaces and Coupled Common Fixed Point Theorems of Integral Type Contraction
71
84
EN
Abdolsattar
Gholidahneh
Department of Mathematics, Qaemshahr Branch, Islamic Azad Univer-
sity, Qaemshahr, Iran
gholidahneh.s@gmail.com
Shaban
Sedghi
Department of Mathematics, Qaemshahr Branch, Islamic Azad University, Qaemshahr,
Iran
sedghigh@yahoo.com
Tatjana
Dosenovic
Faculty of Technology, University of Novi Sad, Serbia
tatjanad@tf.uns.ac.rs
Stojan
Radenovic
Faculty of Mechanical Engineering, University of Belgrade, Kraljice Marije
16, 11120 Beograd, Serbia,
Department of Mathematics, University of Novi Pazar, Novi Pazar, Serbia
radens@beotel.rs
10.22052/mir.2017.53130.1028
In the present paper, we introduces the notion of integral type contractive mapping<br /> with respect to ordered S-metric space and prove some coupled common fixed point results of<br /> integral type contractive mapping in ordered S-metric space. Moreover, we give an example to<br /> support our main result.
S-metric,common fixed point,coupled fixed point,integral type contractive mapping,mixed g-monotone property
https://mir.kashanu.ac.ir/article_44744.html
https://mir.kashanu.ac.ir/article_44744_5756fa40d1aa7a4ab99afb8c04cd8b74.pdf