Mathematics Interdisciplinary Research
Year:2017 | Volume:2 | Issue:1|Papers Count:7

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.

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 space. The Bochner integrability 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.

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 case vectors are used for finding the solution of variational problems. Two illustrative examples are included to demonstrate the validity and applicability of the technique.

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.

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 is 1 ps/(km. nm), the confinement loss is less than 10􀀀 9 dB/km, and the nonlinear coefficient reaches 3. 690 W􀀀 1. km􀀀 1.

In this paper, we consider a new class of analytic functions in the unit disk using polynomials of order  . We give some sufficient conditions for functions belonging to this class.

In the present paper, we introduce 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.