Remarks on the Paper ``Coupled Fixed Point Theorems for Single-Valued Operators in b-Metric Spaces''
Zoran
Kadelburg
University of Belgrade,
Faculty of Mathematics,
Studentski trg 16, 11000 Beograd,
Serbia
author
Stojan
Radenovic
University of Belgrade,
Faculty of Mechanical Engineering,
Kraljice Marije 16, 11000 Beograd,
Serbia
author
Muhammad
Sarwar
Department of Mathematics,
University of Malakand, Chakdara,
Dir (Lower), Khyber Pakhtunkhwa,
Pakistan, 18800
author
text
article
2017
eng
In 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.
Mathematics Interdisciplinary Research
University of Kashan
2538-3639
2
v.
1
no.
2017
1
8
https://mir.kashanu.ac.ir/article_34117_19cd984494f700f7386f297cf2421a30.pdf
dx.doi.org/10.22052/mir.2017.34117
Convergence and Stability of Modified Random SP-Iteration for A Generalized Asymptotically Quasi-Nonexpansive Mappings
Rashwan
Department of Mathematics, Faculty of Science, Assuit University, Assuit 71516, Egypt
author
Hasanen
Hammad
Department of Mathematics,
Faculty of Science,
Sohag University, Sohag
82524, Egypt
author
text
article
2017
eng
The 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.
Mathematics Interdisciplinary Research
University of Kashan
2538-3639
2
v.
1
no.
2017
9
21
https://mir.kashanu.ac.ir/article_44564_a77172732ebdc11046a16577b4a42f00.pdf
dx.doi.org/10.22052/mir.2017.70306.1050
Hartley Series Direct Method for Variational Problems
Abbas
Saadatmandi
Department of Applied Mathematics, Faculty of Mathematical Sciences, University of Kashan, Kashan, I R Iran
author
text
article
2017
eng
The 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.
Mathematics Interdisciplinary Research
University of Kashan
2538-3639
2
v.
1
no.
2017
23
31
https://mir.kashanu.ac.ir/article_40792_931f8bf99deb896469e4c2213c7c3d49.pdf
dx.doi.org/10.22052/mir.2017.40792
New Expansion for Certain Isomers of Various Classes of Fullerenes
Morteza
Faghani
Department of Mathematics,
Payame Noor University,
P.O.Box 19395-3697,
Tehran, Iran
author
Ehsan
Pourhadi
School of Mathematics,
Iran University of Science and Technology,
P.O.Box 16846-13114,
Tehran, Iran
author
text
article
2017
eng
This 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.
Mathematics Interdisciplinary Research
University of Kashan
2538-3639
2
v.
1
no.
2017
33
43
https://mir.kashanu.ac.ir/article_44615_65ffe6cd563631d8c7200937a1e29550.pdf
dx.doi.org/10.22052/mir.2017.74726.1053
Improvement of Optical Properties in Hexagonal Index-guiding Photonic Crystal Fiber for Optical Communications
Saeed
Olyaee
Nano-photonics and Optoelectronics Research Laboratory (NORLab),
Faculty of Electrical and Engineering,
Shahid Rajaee Teacher Training University (SRTTU),
Tehran, I R Iran
author
Mahmood
Seifouri
Nano-photonics and Optoelectronics Research Laboratory (NORLab),
Faculty of Electrical and Engineering,
Shahid Rajaee Teacher Training University (SRTTU),
Tehran, I R Iran
author
Ali
Nikoosohbat
Nano-photonics and Optoelectronics Research Laboratory (NORLab),
Faculty of Electrical and Engineering,
Shahid Rajaee Teacher Training University (SRTTU),
Tehran, I R Iran
author
text
article
2017
eng
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.
Mathematics Interdisciplinary Research
University of Kashan
2538-3639
2
v.
1
no.
2017
45
57
https://mir.kashanu.ac.ir/article_33504_e18da2da425baecd152b85ec8b4a50ff.pdf
dx.doi.org/10.22052/mir.2017.33504
Sufficient Conditions for a New Class of Polynomial Analytic Functions of Reciprocal Order alpha
Mohammad
Taati
Department of Mathematics,
Payame Noor University,
P.O.Box 19395-3697, Tehran, Iran
author
Sirous
Moradi
Department of Mathematics,
Faculty of Science,
Arak University,
Arak 38156-8-8349, Iran
author
Shahram
Najafzadeh
Department of Mathematics,
Payame Noor University,
P.O.Box 19395-3697, Tehran, Iran
author
text
article
2017
eng
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 thisclass.
Mathematics Interdisciplinary Research
University of Kashan
2538-3639
2
v.
1
no.
2017
59
69
https://mir.kashanu.ac.ir/article_44742_93eee58b264fec230639cc10d2909733.pdf
dx.doi.org/10.22052/mir.2017.67848.1047
Ordered S-Metric Spaces and Coupled Common Fixed Point Theorems of Integral Type Contraction
Abdolsattar
Gholidahneh
Department of Mathematics, Qaemshahr Branch, Islamic Azad Univer-
sity, Qaemshahr, Iran
author
Shaban
Sedghi
Department of Mathematics, Qaemshahr Branch, Islamic Azad University, Qaemshahr,
Iran
author
Tatjana
Dosenovic
Faculty of Technology, University of Novi Sad, Serbia
author
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
author
text
article
2017
eng
In 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.
Mathematics Interdisciplinary Research
University of Kashan
2538-3639
2
v.
1
no.
2017
71
84
https://mir.kashanu.ac.ir/article_44744_5756fa40d1aa7a4ab99afb8c04cd8b74.pdf
dx.doi.org/10.22052/mir.2017.53130.1028