Theory of Approximation and Applications
Volume:16 Issue: 2, Summer and Autumn 2022

Ghanbari and Mojdeh \cite{gm} initiated the concept of restrained2-rainbow domination in graphs. In this paper is given upperbounds for 2-restrained domination number of a particular case ofgeneralized Petersen graphs.

Today, deep learning has attracted attention in various scientific and non-scientific fields. Deep learning is a branch of machine learning that simulates the human brain for various applications like recognizing voice, face, handwriting, identifying kinship, image processing, and etc. In deep learning, a set of representation algorithms is used to model high-level abstract concepts through learning at different levels and layers. Deep learning has become popular due to its capabilities like automatic feature extraction, high extendibility, and wide application in different fields. In this paper, it is tried to describe different deep learning models and architectures, how they are trained, and the required hardware and software structures.

In this study a new photocatalyst was prepared and identified using XRD pattern and SEM image. This catalyst is used to decomposition of azo dye Acid Red 206(AR 206) in aqueous solution. In the previous study optimum conditions has been obtained by using experimental design which is parametric method and is not proposed method for converting the inefficient experiments to efficient. Data Envelopment Analysis (DEA) involves an alternative principle for extracting information about a population of observations called Decision Making Units (DMUs) with similar quantitative characteristics. This is reflected by the assumption that each DMU uses the same set of inputs to produce the same set of outputs, but the inputs are consumed and outputs are produced in varying amounts. In this paper the input oriented CCR model and its super-efficiency model are proposed for measuring the efficiency and ranking of photocatalytic degradation of Azo dye AR 206 and Chemical Oxigen Demand (COD) photocatalytic degradation experiments . We consider these experiments as DMUs. Finally inefficient experiments by using of the projection points were converted to the efficient experiments.

We consider several location inventory optimization models for the supply chain configuration of subway facilities. It includes several distribution centers and several retailers. Customer demand and redelivery time are considered random. The goal is to find the optimal locations for facilities and their inventory policy simultaneously. For this purpose, a two-phase approach based on queuing theory and stochastic optimization was developed. Today, meta-heuristic methods are often used to solve optimization problems such as facility design. in this study; The design of different units, stores, and rooms of a real large-scale subway was organized using three meta-heuristic methods Migratory Bird Optimization (MBO), Taboo Search (TS), and Simulated Simulation (SA). The results were compared with the existing subway design. As a result, the meta-heuristic methods of MBO and SA have provided the best results that improve the efficiency of the existing subway design to an acceptable level.

Coupled fixed point has been a major area of research interest in the field of fixed point theory. This work establishes coupled fixed point for C*-algebra-valued contractions in fuzzy metric spaces. Also, application in integral equations to back up our claim was given. The results of our findings are an improvement to some existing works in the literature

A semigroup S is called a posemigroup if S is equipped with an ordering relation\ ≤ " such that a ≤ b in S implies xa ≤ xb and ax ≤ bx, for all x 2 S. In what followswe study necessary and sufficient conditions that a posemigroup S to be regular, interms of certain conditions of Q∗ S, the semigroup of high-quasi-ideals of S. This studygives us a characterization method of the regular posemigroups.

‎The main purpose of this paper is to establish a unified approach to some criteria for the boundedness and‎some quantities for the essential norm of composition operator acting on the weighted Bergman space $\mathcal{A}_\omega^p$ ‎‎, where the weight function ‎ω ‎belongs ‎to ‎the ‎class ‎‎$\mathcal{R}$ ‎of ‎regular ‎weights. ‎W‎e express the essential norm in terms of the generalized Nevanlinna counting function associated with analytic self map $\varphi$ ‎and ‎regular ‎weight ‎ω

Hyper Wiener index of fuzzy graphs and edge deleted fuzzy subgraphs areproposed in this article. A relationship between Connectivity index andHyper Wiener index of fuzzy graphs is obtained.

In this article, the aim is to study the non-explicit Runge-Kutta methods. The fol-lowing is the classification of these methods and how to implement them. To reduce the functions associated with their implementation, the concepts of sustainability related to such methods have been compared computationally with an emphasis on the non-explicit single method.

‎A kind of approximation‎, ‎called best coapproximation was‎ introduced and discussed in normed linear spaces by C‎. ‎Franchetti and M‎. Furi in 1972‎. ‎Subsequently‎, ‎this study was taken up by several researchers‎ in different abstract spaces‎. In this paper‎, ‎we consider best coapproximation by closed unit balls‎. ‎We define qcoproximinal and coremotal‎, ‎and find some theorems.

In this paper we introduce a new nonlinear algorithm for approximating xed points ofdouble midpoint rule on a nonempty, closed and convex subset of real Hilbert spaces. Undersome specic assumption imposed on the control parameters, we prove a strong convergencetheorem. In this manner, we provide some numerical examples to illustrate our main resultand to display the eciency of the proposed algorithm.

The aim of this study is to investigate the effect of CEO’s financial expertise on Stock Price Delayoflisted Companiesin TehranStock Exchange. For this purpose one hypotheses are developed and data on the 107 companies in Tehran Stock Exchange for the period of 2011 to 2018 were analyzed. This regression model using panel data with fixed effects approach and tests. The resultsshowed thatthe concentration CEO’s financial expertise hassignificantNegativeimpact onStock Price Delay. Therefore, the research results indicate that the Powerful executives have more independence and you have more supervisory roles on the board this reduces the disadvantages of stakeholder rights and reduce the agency costs , and thus reduce agency costs reduce information asymmetry and reduce the opacity in financial and thus Decrease Stock Price Delay.