2022-05-20T16:04:42Z
https://mir.kashanu.ac.ir/?_action=export&rf=summon&issue=4605
Mathematics Interdisciplinary Research
Math. Interdisc. Res.
2538-3639
2538-3639
2017
2
1
Remarks on the Paper ``Coupled Fixed Point Theorems for Single-Valued Operators in b-Metric Spaces''
Zoran
Kadelburg
Stojan
Radenovic
Muhammad
Sarwar
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.
Vector-valued metric
Ordered b-metric space
coupled fixed point
integral equation
well-posed fixed point problem
2017
06
01
1
8
https://mir.kashanu.ac.ir/article_34117_19cd984494f700f7386f297cf2421a30.pdf
Mathematics Interdisciplinary Research
Math. Interdisc. Res.
2538-3639
2538-3639
2017
2
1
Convergence and Stability of Modified Random SP-Iteration for A Generalized Asymptotically Quasi-Nonexpansive Mappings
Rashwan
Hasanen
Hammad
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 randomĀ 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.
almost sure T-stability
separable Banach spaces
random modified SP-iteration
generalized asymptotically quasi-nonexpansive
random fixed point
2017
06
01
9
21
https://mir.kashanu.ac.ir/article_44564_a77172732ebdc11046a16577b4a42f00.pdf
Mathematics Interdisciplinary Research
Math. Interdisc. Res.
2538-3639
2538-3639
2017
2
1
Hartley Series Direct Method for Variational Problems
Abbas
Saadatmandi
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.
Hartley series
operational matrix
Numerical methods
calculus of variations
2017
06
01
23
31
https://mir.kashanu.ac.ir/article_40792_931f8bf99deb896469e4c2213c7c3d49.pdf
Mathematics Interdisciplinary Research
Math. Interdisc. Res.
2538-3639
2538-3639
2017
2
1
New Expansion for Certain Isomers of Various Classes of Fullerenes
Morteza
Faghani
Ehsan
Pourhadi
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.
Fullerene
edge frustration
planar graph
2017
06
01
33
43
https://mir.kashanu.ac.ir/article_44615_65ffe6cd563631d8c7200937a1e29550.pdf
Mathematics Interdisciplinary Research
Math. Interdisc. Res.
2538-3639
2538-3639
2017
2
1
Improvement of Optical Properties in Hexagonal Index-guiding Photonic Crystal Fiber for Optical Communications
Saeed
Olyaee
Mahmood
Seifouri
Ali
Nikoosohbat
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
2017
06
01
45
57
https://mir.kashanu.ac.ir/article_33504_e18da2da425baecd152b85ec8b4a50ff.pdf
Mathematics Interdisciplinary Research
Math. Interdisc. Res.
2538-3639
2538-3639
2017
2
1
Sufficient Conditions for a New Class of Polynomial Analytic Functions of Reciprocal Order alpha
Mohammad
Taati
Sirous
Moradi
Shahram
Najafzadeh
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.
Polynomial analytic functions
starlike functions
Meromorphic functions
2017
06
01
59
69
https://mir.kashanu.ac.ir/article_44742_93eee58b264fec230639cc10d2909733.pdf
Mathematics Interdisciplinary Research
Math. Interdisc. Res.
2538-3639
2538-3639
2017
2
1
Ordered S-Metric Spaces and Coupled Common Fixed Point Theorems of Integral Type Contraction
Abdolsattar
Gholidahneh
Shaban
Sedghi
Tatjana
Dosenovic
Stojan
Radenovic
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.
S-metric
common fixed point
coupled fixed point
integral type contractive mapping
mixed g-monotone property
2017
06
01
71
84
https://mir.kashanu.ac.ir/article_44744_5756fa40d1aa7a4ab99afb8c04cd8b74.pdf