2022-05-16T22:17:57Z
https://ijnaa.semnan.ac.ir/?_action=export&rf=summon&issue=590
International Journal of Nonlinear Analysis and Applications
IJNAA
2022
13
Special Issue for selected papers of ICDACT-2021
Global attractivity results for a class of matrix difference equations
Sourav
Shil
Hemant
Nashine
In this chapter, we investigate the global attractivity of the recursive sequence $\{\mathcal{U}_n\} \subset \mathcal{P}(N)$ defined by\[\mathcal{U}_{n+k} = \mathcal{Q} + \frac{1}{k} \sum_{j=0}^{k-1} \mathcal{A}^* \psi(\mathcal{U}_{n+j}) \mathcal{A}, n=1,2,3\ldots,\]where $\mathcal{P}(N)$ is the set of $N \times N$ Hermitian positive definite matrices, $k$ is a positive integer,$\mathcal{Q}$ is an $N \times N$ Hermitian positive semidefinite matrix, $\mathcal{A}$ is an $N \times N$ nonsingular matrix, $\mathcal{A}^*$ is the conjugate transpose of $\mathcal{A}$ and $\psi : \mathcal{P}(N) \to \mathcal{P}(N)$ is a continuous. For this, we first introduce $\mathcal{FG}$-Pre\v{s}i\'c contraction condition for $f: \mathcal{X}^k \to \mathcal{X}$ in metric spaces and study the convergence of the sequence $\{x_n\}$ defined by\[x_{n+k} = f(x_n, x_{n+1}, \ldots, x_{n+k-1}), n = 1, 2, \ldots\]with the initial values $x_1,\ldots, x_k \in \mathcal{X}$. We furnish our results with some examples throughout the chapter. Finally, we apply these results to obtain matrix difference equations followed by numerical experiments.
fixed point approximation
iterative method
matrix difference equation
equilibrium point
global attractivity
2022
03
01
1
15
https://ijnaa.semnan.ac.ir/article_6326_1b015885785bbe6a2b181e92b6471ed0.pdf
International Journal of Nonlinear Analysis and Applications
IJNAA
2022
13
Special Issue for selected papers of ICDACT-2021
Solutions of integral equations via fixed point results in extended Branciari b-distance spaces
Usha
Bag
Reena
Jain
In this work, we prove the existence of the solution of integral equations via fixed point results in the framework of extended Branciari $b$-distance spaces. In order to do this, we introduce ${FG}$-contractive conditions in extended Branciari $b$-distance spaces and derive common fixed points results for triangular $\alpha$-admissible mappings, followed by some suitable examples.
Fixed point
extended Branciari $b$-distance spaces
triangular $alpha$-admissible mappings
integral equations
2022
03
01
17
29
https://ijnaa.semnan.ac.ir/article_6327_06e30473b8710af964e8413a690d293d.pdf
International Journal of Nonlinear Analysis and Applications
IJNAA
2022
13
Special Issue for selected papers of ICDACT-2021
Results on coupled common fixed point by applying a new approach of $Y$-cone metric spaces
Richa
Sharma
Virendra Singh
Chouhan
Rahul
Shukla
The main motive of this paper is to discuss coupled coincidence points in the setting of the newly established concept $Y$-cone metric spaces. We obtain coupled coincidence point theorems through mixed monotone mappings in ordered $Y$-cone metric spaces. We give an illustrative example, which constitutes the main theorem.
coupled common fixed point
mixed g-monotone maps
$Y$-cone metric space
2022
03
01
31
42
https://ijnaa.semnan.ac.ir/article_6328_32f1f5fc164529b62043b6ce4e54e7b9.pdf
International Journal of Nonlinear Analysis and Applications
IJNAA
2022
13
Special Issue for selected papers of ICDACT-2021
Redefined neutrosophic composite relation and its application in medical diagnosis
Sudeep
Dey
Gautam
Ray
In this article, we redefine the single-valued neutrosophic composite relation and apply it to medical diagnosis. We also show that the redefined neutrosophic composite relation gives a better result.
Single valued neutrosophic set
Single valued neutrosophic relation
Single valued neutrosophic composite relation
Neutrosophic medical diagnosis
2022
03
01
43
52
https://ijnaa.semnan.ac.ir/article_6329_4f7facad7cc490826f4322b97cb03d06.pdf
International Journal of Nonlinear Analysis and Applications
IJNAA
2022
13
Special Issue for selected papers of ICDACT-2021
Efficient binary grasshopper optimization based neural network algorithm for bitcoin value prediction
A. Saran
Kumar
S.
Priyanka
K.
Dhanashree
V.
Praveen
R.
Rekha
Digital currency plays a vital role in the process of trading as it helps the sellers and buyers to earn more profit. In today’s world, many categories of cryptocurrencies exist and each one of them employs its own security algorithms. Bitcoin price prediction is a complex problem that needs advanced algorithms to solve exactly. In this paper, swarm-based intelligence algorithms are applied in order to solve the bitcoin value prediction problem. In particular, Ant Colony Optimization and Binary Grasshopper Optimization algorithms are combined as a hybrid framework to select the most critical features in the dataset for bitcoin value prediction. The extracted features from the hybrid model are given as input to the convolutional neural network to predict the price of the bitcoins. As per the experimental results, the proposed hybrid algorithm produces better results when compared with the stand-alone version of grasshopper and neural network algorithms.
Bitcoin
Value Prediction
Optimization Algorithm
Binary Grasshopper Algorithm
CNN Algorithm
2022
03
01
53
60
https://ijnaa.semnan.ac.ir/article_6330_e6aef6de844ba43f8380bc4c7dd16704.pdf
International Journal of Nonlinear Analysis and Applications
IJNAA
2022
13
Special Issue for selected papers of ICDACT-2021
Fingernail analysis for early detection and diagnosis of diseases using machine learning techniques
K.
Dhanashree
P.
Jayabal
A.
Kumar
S.
Logeswari
K.
Priya
Each and every human have unique fingernails. In the early days, the psychological conditions of the human body were reflected with the help of the growth situation of the surface of nails. It is possible to diagnose human nails and predict the disease. Predicting the disease at the early stage helps in preventing the disease. In this proposed work, the image of the nail is taken from a microscopic image. The lunula and nail plate are segmented effectively using the image pre-processing techniques. Histograms of oriented gradients and local binary patterns are used to capture the characteristic value. Once after pre-processing various features of the nails are extracted using various machine learning algorithms such as Support Vector Machines, Multiclass Support Vector Machine, Convolution Neural Network along with an Optimization algorithm named Ant Colony Optimization to improve the efficiency of classification.
Local binary pattern (LBP)
Block Chain Technology (BCT)
Machine Learning (ML)
2022
03
01
61
69
https://ijnaa.semnan.ac.ir/article_6331_86b48a779ebb27a347102a6bf8c11890.pdf
International Journal of Nonlinear Analysis and Applications
IJNAA
2022
13
Special Issue for selected papers of ICDACT-2021
Feature fusion of fruit image categorization using machine learning
Shameem
Fatima
M.
Seshashayee
Fruit Categorization is a classification problem that the agricultural fruit industry needs to solve in order to reduce the post-harvesting losses that occur during the traditional system of manual grading. Fruit grading which involves categorization is an important step in obtaining high fruit quality and market demand. There are various feature selection challenges in agriculture produced especially fruit grading to build an appropriate machine learning approach to solve the problem of reducing losses. In this paper, we describe different features, a machine learning technique that has been recently applied to different fruit classification problems producing a promising result. We discuss the feature extraction method, technique used in image classification applications for fruit prediction. A proposed multiclass fruit classification model is theoretically described and their most distinguishing features and technique is then presented at the end of this paper.
Fruit Classification
Feature Fusion
feature extraction
Multiclass SVM
2022
03
01
71
76
https://ijnaa.semnan.ac.ir/article_6332_d690c680211331ee449a684433eeada7.pdf
International Journal of Nonlinear Analysis and Applications
IJNAA
2022
13
Special Issue for selected papers of ICDACT-2021
Results on coupled fixed point involving altering distances in metric spaces
Richa
Sharma
Ruchika
Mehta
Virendra Singh
Chouhan
The objective of this paper is to demonstrate the results of coupled fixed point that possesses the property of mixed monotone involving altering distance functions in the framework of partially ordered metric spaces. To illustrate our results, we provide an example.
Coupled fixed point
partial ordered
Complete metric space
2022
03
01
77
87
https://ijnaa.semnan.ac.ir/article_6333_af4f8d262db55ee9fcd5f2c71152101d.pdf
International Journal of Nonlinear Analysis and Applications
IJNAA
2022
13
Special Issue for selected papers of ICDACT-2021
Comparative performance analysis of various digital image edge detection techniques with hybrid edge detection technique which is developed by combining second order derivative techniques log and Canny
Pratima
Dubey
Prashant
Dubey
Mayank
Sharma
Soni
Changlani
Edge detection is a digital image processing technique to find the boundaries or edges of an image or object through brightness discontinuity. There are many operators to get boundaries or edges but we need more effective and accurate methods. This paper will provide a comparison of hybrid techniques that combine second-order derivative techniques Log and Canny, With Conventional Sobel, Prewitt, Roberts, Canny and Log Operators Edge Detector Techniques With regard to visual inspection, Mean Square Error (MSE), Root Mean Square Error (RMSE), signal to noise ratio (SNR), peak signal to noise ratio (PSNR), mean-absolute error (MAE) and Bit error, etc.
Hybrid technique
Sobel operator
Prewitt operator
Roberts operator
canny operator
log operator
Edge detection
mean square error (MSE)
Root mean square error (RMSE)
mean absolute error (MAE)
signal to noise ratio(SNR)
Peak Signal to noise ratio (PSNR)
Bit error
2022
03
01
89
95
https://ijnaa.semnan.ac.ir/article_6334_79bb0e93a8352eae2961caa0f03bad25.pdf
International Journal of Nonlinear Analysis and Applications
IJNAA
2022
13
Special Issue for selected papers of ICDACT-2021
Best proximity point theorem in higher dimensions with an application
Saranan
Mondal
Supriti
Laha
Ankush
Chanda
In this article, we introduce the notion of $F_n$-contractions $T:A^n\rightarrow B$ in standard metric spaces and explore the possibility of certain approximation results for these mappings. We prove the existence and uniqueness of $n$-tuple ($n \geq 2$) best proximity points of $F_n$-contractions, not necessarily continuous, using the weak $P$-property in complete metric spaces. Additionally, suitable examples are presented to substantiate our main results. Moreover, we anticipate a fixed point result to prove the existence and uniqueness of the solution for a type of integral equation to elucidate our obtained theorems.
$F_n$-contractions
best proximity points
$P$-property
weak $P$-property
$n$-tuple best proximity points
2022
03
01
97
108
https://ijnaa.semnan.ac.ir/article_6335_eb8129ea83975aa6489305342fd86c96.pdf
International Journal of Nonlinear Analysis and Applications
IJNAA
2022
13
Special Issue for selected papers of ICDACT-2021
Strong bi-ideals in bi-near subtraction semigroup
M.
Banu
S.
Jayalakshmi
We study certain things connecting strong bi-ideals of bi-near subtraction semigroup in a sub commutative $S$-bi-near subtraction semigroup. A bi-ideals $B$ of $X$ is strong bi-ideals if $X_1B_1^2\subseteq B_1$ (or $X_2B_2^2\subseteq B_2$) denotes $XB^2\subseteq B$.
$S$-bi-near subtraction semigroup
sub commutative
bi-ideals
2022
03
01
109
116
https://ijnaa.semnan.ac.ir/article_6336_c8f456fd6f31778f064cc0e944e9a6fa.pdf
International Journal of Nonlinear Analysis and Applications
IJNAA
2022
13
Special Issue for selected papers of ICDACT-2021
Comparative performance analysis of spatial domain filtering techniques in digital image processing for removing different types of noise
Prashant
Dubey
Pratima
Dubey
Mayank
Sharma
Soni
Changlani
The reduction of the noise of the images always prevails as a challenge in the field of image processing. An image obtained after the elimination of noise has a higher clarity in terms of interpretation and study analysis in different fields such as medical, satellite and radar. This research work examines the various methods of de-noise images in the spatial domain and a comparison between several filtering techniques is carried out in the presence of different types of noise to achieve a high-quality image and to find the most suitable and reliable method for De-noising images. performance of all the filters is compared using parameters such as Mean Square Error (MSE), peak signal to noise ratio (PSNR).
Image processing
Noise Removal
filtering techniques
mean square error (MSE)
signal to noise ratio(SNR)
Peak Signal noise ratio(PSNR)
2022
03
01
117
125
https://ijnaa.semnan.ac.ir/article_6337_6a0794b8d4be0ea2997e84613f074c9b.pdf
International Journal of Nonlinear Analysis and Applications
IJNAA
2022
13
Special Issue for selected papers of ICDACT-2021
On weak $B$-bi-regular bi-near subtraction semigroup
M.
Banu
S.
Jayalakshmi
We introduce weak $B$-bi-regular in bi-near subtraction semigroup and obtain properties of the same in a certain class of bi-near subtraction semigroup of $X$.
weak $B$-bi-regular
$B$-bi-regular
bi-regular
$bar{S}$-bi-near subtraction semigroup
left (right) X-bi-algebra
2022
03
01
127
132
https://ijnaa.semnan.ac.ir/article_6338_d826d518db7aa79a2a6e330825a25b4d.pdf
International Journal of Nonlinear Analysis and Applications
IJNAA
2022
13
Special Issue for selected papers of ICDACT-2021
A novel numerical technique and stability criterion of VF type integro-differential equations of non-integer order
Dipankar
Saha
Nimai
Sarkar
Mausumi
Sen
Subhankar
Saha
In this article, Ulam Hyers stability of Volterra Fredholm (VF) type fractional integro-differential equation is studied by the fixed point notion in the generalized metric space. In addition, the efficiency of the Laplace decomposition method in the context of solving some integral equations of the Volterra Fredholm type is shown. Further convergence analysis of the numerical scheme is shown.
Fixed point
Ulam Hyers stability
metric space
2022
03
01
133
145
https://ijnaa.semnan.ac.ir/article_6339_5ccfdbeee149557df56404ecc63ce59f.pdf
International Journal of Nonlinear Analysis and Applications
IJNAA
2022
13
Special Issue for selected papers of ICDACT-2021
Thermal analysis on two Wheeler Piston with different materials by using FEA method
Neha
Choubey
Ashish
Shrivastava
Abhishek
Choubey
Swapnil
Singh
Balendra
Bhaskar
The piston is thought to be a standout amongst the most essential parts in a reciprocating engine, reciprocating pumps, gas blowers and pneumatic barrels, among other comparable mechanisms. As most critical part, is that less time is required to outline the cylinder and simply a couple of essential details of the engine. Actually, due to high heat transfer through the piston, the outer shape of the piston crown will be deformed. So due to this problem here computational testing has been performed on ANSYS simulation software with three different materials and observed that stress of piston with ALSI AI alloy has maximum stress of $50.79 Mpa$ piston made of M-124 cast AL composite stress value is $50.54 Mpa$. Furthermore, maximum stress on M-124 forged AL alloy is found to be $50.23 Mpa$ and here observe that in case of deformation, piston made of ALSI AI alloy found to have maximum deformation of $1.06 mm$ and when piston made of M-124 cast AL combination then maximum deformation is $0.88 mm$. What's more, maximum deformation on M-124 forged AL alloy is found to be $0.086 mm$ and here observe that in case of heat flux, piston made of ALSI AI alloy is found to have maximum heat transfer of $3.3 w/mm^2$ is observed. When piston made of M-124 cast AL combination then maximum heat transfer of $3.4 w//mm^2$ and maximum heat flux on M-124 forged AL alloy is found to be $3.6 w/mm^2$. So the aluminium alloy M-124 is the best manufactured composite material So this material is suggested for manufacturing work.
reciprocating engine
Thermal Analysis
Wheeler Piston
2022
03
01
147
155
https://ijnaa.semnan.ac.ir/article_6340_0707e2e828a0743c2f5264a28019d4c7.pdf
International Journal of Nonlinear Analysis and Applications
IJNAA
2022
13
Special Issue for selected papers of ICDACT-2021
Fixed point theory in digital topology
R.
Kalaiarasi
Reena
Jain
In this paper, we review some research works on exploring image processing in digital spaces using fixed point theorems. The basic concepts of digital images are mentioned. Moreover, we prove some theorems on digital metric spaces by replacing the conditions in the previously established theorem with a suitable condition.
fixed point theorems
Banach contraction principle
Digital images
digital contraction
digital metric space
2022
03
01
157
163
https://ijnaa.semnan.ac.ir/article_6375_8c209dc071d7138bca7163062cd3effe.pdf