eng
University of Kashan
Mathematics Interdisciplinary Research
2538-3639
2476-4965
2017-06-01
2
1
1
8
10.22052/mir.2017.34117
34117
Remarks on the Paper ``Coupled Fixed Point Theorems for Single-Valued Operators in b-Metric Spaces''
Zoran Kadelburg
kadelbur@matf.bg.ac.rs
1
Stojan Radenovic
radens@beotel.rs
2
Muhammad Sarwar
sarwarswati@gmail.com
3
University of Belgrade
Faculty of Mathematics
University of Belgrade Faculty of Mechanical Engineering
Department of Mathematics, University of Malakand
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.
http://mir.kashanu.ac.ir/article_34117_19cd984494f700f7386f297cf2421a30.pdf
Vector-valued metric
ordered $b$-metric space
coupled fixed point
integral equation
well-posed fixed point problem
eng
University of Kashan
Mathematics Interdisciplinary Research
2538-3639
2476-4965
2017-06-01
2
1
9
21
10.22052/mir.2017.70306.1050
44564
Convergence and Stability of Modified Random SP-Iteration for A Generalized Asymptotically Quasi-Nonexpansive Mappings
Rashwan
rashwan10@gmail.com
1
Hasanen Hammad
h_elmagd89@yahoo.com
2
Department of Mathematics, Faculty of Science, Assuit University, Assuit 71516, Egypt
Department of Mathematics, Faculty of Science, Sohag University, Sohag 82524, Egypt
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.
http://mir.kashanu.ac.ir/article_44564_a77172732ebdc11046a16577b4a42f00.pdf
almost sure T-stability
separable Banach spaces
random modified SP-iteration
generalized asymptotically quasi-nonexpansive
random fixed point
eng
University of Kashan
Mathematics Interdisciplinary Research
2538-3639
2476-4965
2017-06-01
2
1
23
31
10.22052/mir.2017.40792
40792
Hartley Series Direct Method for Variational Problems
Abbas Saadatmandi
a.saadatmandi@gmail.com
1
Department of Applied Mathematics, Faculty of Mathematical Sciences, University of Kashan, Kashan, I R Iran
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.
http://mir.kashanu.ac.ir/article_40792_931f8bf99deb896469e4c2213c7c3d49.pdf
Hartley series
operational matrix
Numerical methods
calculus of variations
eng
University of Kashan
Mathematics Interdisciplinary Research
2538-3639
2476-4965
2017-06-01
2
1
33
43
10.22052/mir.2017.74726.1053
44615
New Expansion for Certain Isomers of Various Classes of Fullerenes
Morteza Faghani
m_faghani@pnu.ac.ir
1
Ehsan Pourhadi
2
Payame Noor University
Iran University of Science and Technology
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.
http://mir.kashanu.ac.ir/article_44615_65ffe6cd563631d8c7200937a1e29550.pdf
Fullerene
edge frustration
planar graph
eng
University of Kashan
Mathematics Interdisciplinary Research
2538-3639
2476-4965
2017-06-01
2
1
45
57
10.22052/mir.2017.33504
33504
Improvement of Optical Properties in Hexagonal Index-guiding Photonic Crystal Fiber for Optical Communications
Saeed Olyaee
s_olyaee@srttu.edu
1
Mahmood Seifouri
mahmood.seifouri@srttu.edu
2
Ali Nikoosohbat
a.nikoosohbat@srttu.edu
3
Shahid Rajaee Teacher Training University
Shahid Rajaee Teacher Training University
Shahid Rajaee Teacher Training University
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.
http://mir.kashanu.ac.ir/article_33504_e18da2da425baecd152b85ec8b4a50ff.pdf
Hexagonal
index-guiding
chromatic dispersion
photonic crystal fiber
nonlinear coefficient
eng
University of Kashan
Mathematics Interdisciplinary Research
2538-3639
2476-4965
2017-06-01
2
1
59
69
10.22052/mir.2017.67848.1047
44742
Sufficient Conditions for a New Class of Polynomial Analytic Functions of Reciprocal Order alpha
Mohammad Taati
m_taati@pnu.ac.ir
1
Sirous Moradi
s-moradi@araku.ac.ir
2
Shahram Najafzadeh
najafzadeh1234@yahoo.ie
3
Payame Noor University
Arak University
Payame Noor University
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.
http://mir.kashanu.ac.ir/article_44742_93eee58b264fec230639cc10d2909733.pdf
Polynomial analytic functions
starlike functions
Meromorphic functions
eng
University of Kashan
Mathematics Interdisciplinary Research
2538-3639
2476-4965
2017-06-01
2
1
71
84
10.22052/mir.2017.53130.1028
44744
Ordered S-Metric Spaces and Coupled Common Fixed Point Theorems of Integral Type Contraction
Abdolsattar Gholidahneh
gholidahneh.s@gmail.com
1
Shaban Sedghi
sedghigh@yahoo.com
2
Tatjana Dosenovic
tatjanad@tf.uns.ac.rs
3
Stojan Radenovic
radens@beotel.rs
4
Department of Mathematics, Qaemshahr Branch, Islamic Azad Univer- sity, Qaemshahr, Iran
Department of Mathematics, Qaemshahr Branch, Islamic Azad University, Qaemshahr, Iran
Faculty of Technology, University of Novi Sad, Serbia
Faculty of Mechanical Engineering, University of Belgrade, Kraljice Marije 16, 11120 Beograd, Serbia, Department of Mathematics, University of Novi Pazar, Novi Pazar, Serbia
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.
http://mir.kashanu.ac.ir/article_44744_5756fa40d1aa7a4ab99afb8c04cd8b74.pdf
S-metric
common fixed point
coupled fixed point
integral type contractive mapping
mixed g-monotone property