ORIGINAL_ARTICLE
Global attractivity results for a class of matrix difference equations
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.
https://ijnaa.semnan.ac.ir/article_6326_1b015885785bbe6a2b181e92b6471ed0.pdf
2022-03-01
1
15
10.22075/ijnaa.2021.6326
fixed point approximation
iterative method
matrix difference equation
equilibrium point
global attractivity
Sourav
Shil
sourav.shil@vit.ac.in
1
Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, Vellore-632014, TN, India
AUTHOR
Hemant
Nashine
hemant.nashine@vit.ac.in
2
Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, Vellore-632014, TN, India
LEAD_AUTHOR
ORIGINAL_ARTICLE
Solutions of integral equations via fixed point results in extended Branciari b-distance spaces
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.
https://ijnaa.semnan.ac.ir/article_6327_06e30473b8710af964e8413a690d293d.pdf
2022-03-01
17
29
10.22075/ijnaa.2021.6327
Fixed point
extended Branciari $b$-distance spaces
triangular $alpha$-admissible mappings
integral equations
Usha
Bag
usha.bag2019@vitbhopal.ac.in
1
VIT Bhopal University, Mathematics Division, SASL, India
AUTHOR
Reena
Jain
reena.jain@vitbhopal.ac.in
2
VIT Bhopal University, Mathematics Division, SASL, India
LEAD_AUTHOR
ORIGINAL_ARTICLE
Results on coupled common fixed point by applying a new approach of $Y$-cone metric spaces
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.
https://ijnaa.semnan.ac.ir/article_6328_32f1f5fc164529b62043b6ce4e54e7b9.pdf
2022-03-01
31
42
10.22075/ijnaa.2022.6328
coupled common fixed point
mixed g-monotone maps
$Y$-cone metric space
Richa
Sharma
richa.tuknait@yahoo.in
1
Department of Mathematics, Chandigarh University, Mohali, India
AUTHOR
Virendra Singh
Chouhan
darbarvsingh@yahoo.com
2
Department of Mathematics and Statistics, Manipal University Jaipur, India
LEAD_AUTHOR
Rahul
Shukla
rshukla.vnit@gmail.com
3
Department of Mathematics and Applied Mathematics, University of Johannesburg, Auckland Park 2006, South Africa
AUTHOR
ORIGINAL_ARTICLE
Redefined neutrosophic composite relation and its application in medical diagnosis
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.
https://ijnaa.semnan.ac.ir/article_6329_4f7facad7cc490826f4322b97cb03d06.pdf
2022-03-01
43
52
10.22075/ijnaa.2022.6329
Single valued neutrosophic set
Single valued neutrosophic relation
Single valued neutrosophic composite relation
Neutrosophic medical diagnosis
Sudeep
Dey
sudeep.dey.1976@gmail.com
1
Department of Mathematics, Science College, Kokrajhar, Assam, India
AUTHOR
Gautam
Ray
gautomofcit@gmail.com
2
Department of Mathematics, Central Institute of Technology, Kokrajhar, Assam, India
LEAD_AUTHOR
ORIGINAL_ARTICLE
Efficient binary grasshopper optimization based neural network algorithm for bitcoin value prediction
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.
https://ijnaa.semnan.ac.ir/article_6330_e6aef6de844ba43f8380bc4c7dd16704.pdf
2022-03-01
53
60
10.22075/ijnaa.2022.6330
Bitcoin
Value Prediction
Optimization Algorithm
Binary Grasshopper Algorithm
CNN Algorithm
A. Saran
Kumar
saran.cit92@gmail.com
1
Department of CSE, Bannari Amman Institute of Technology, Erode, Tamilnadu, India
LEAD_AUTHOR
S.
Priyanka
priyanka@bitsathy.ac.in
2
Department of CSE, Bannari Amman Institute of Technology, Erode, Tamilnadu, India
AUTHOR
K.
Dhanashree
dhanu1304@gmail.com
3
Department of CSE, Sri Ramakrishna Engineering College, Coimbatore, Tamilnadu, India
AUTHOR
V.
Praveen
praveen@bitsathy.ac.in
4
Department of CSE, Bannari Amman Institute of Technology, Erode, Tamilnadu, India
AUTHOR
R.
Rekha
rekha.psgtech@gmail.com
5
Department of IT, PSG College of Technology, Coimbatore, Tamilnadu, India
AUTHOR
ORIGINAL_ARTICLE
Fingernail analysis for early detection and diagnosis of diseases using machine learning techniques
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.
https://ijnaa.semnan.ac.ir/article_6331_86b48a779ebb27a347102a6bf8c11890.pdf
2022-03-01
61
69
10.22075/ijnaa.2022.6331
Local binary pattern (LBP)
Block Chain Technology (BCT)
Machine Learning (ML)
K.
Dhanashree
dhanu1304@gmail.com
1
Department of CSE, Sri Ramakrishna Engineering College, Coimbatore, Tamil Nadu, India
LEAD_AUTHOR
P.
Jayabal
kongu2008@gmail.com
2
Department of Mathematics, Rathinam Technical Campus, Coimbatore, Tamil Nadu, India
AUTHOR
A.
Kumar
sarankumar@bitsathy.ac.in
3
Department of CSE, Bannari Amman Institute of Technology, Erode, Tamil Nadu, India
AUTHOR
S.
Logeswari
logeswari@bitsathy.ac.in
4
Department of CSE, Bannari Amman Institute of Technology, Erode, Tamil Nadu, India
AUTHOR
K.
Priya
ranjeethapriya.k@gmail.com
5
Department of Information Technology,Sri Krishna College of Engineering and Technology, Coimbatore, Tamil Nadu, India
AUTHOR
ORIGINAL_ARTICLE
Feature fusion of fruit image categorization using machine learning
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.
https://ijnaa.semnan.ac.ir/article_6332_d690c680211331ee449a684433eeada7.pdf
2022-03-01
71
76
10.22075/ijnaa.2022.6332
Fruit Classification
Feature Fusion
feature extraction
Multiclass SVM
Shameem
Fatima
ksufatima@gmail.com
1
Department of Computer Science, GITAM University, Visakhapatnam, India
AUTHOR
M.
Seshashayee
2
Department of Computer Science, GITAM University, Visakhapatnam, India
LEAD_AUTHOR
ORIGINAL_ARTICLE
Results on coupled fixed point involving altering distances in metric spaces
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.
https://ijnaa.semnan.ac.ir/article_6333_af4f8d262db55ee9fcd5f2c71152101d.pdf
2022-03-01
77
87
10.22075/ijnaa.2022.6333
Coupled fixed point
partial ordered
Complete metric space
Richa
Sharma
richa.tuknait@yahoo.in
1
Department of Mathematics, Chandigarh University, Mohali, India
AUTHOR
Ruchika
Mehta
ruchika.mehta1981@gmail.com
2
Department of Mathematics and Statistics, Manipal University Jaipur, India
AUTHOR
Virendra Singh
Chouhan
darbarvsingh@yahoo.com
3
Department of Mathematics and Statistics, Manipal University Jaipur, India
LEAD_AUTHOR
ORIGINAL_ARTICLE
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
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.
https://ijnaa.semnan.ac.ir/article_6334_79bb0e93a8352eae2961caa0f03bad25.pdf
2022-03-01
89
95
10.22075/ijnaa.2022.6334
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
Pratima
Dubey
pratimadubeysvp@gmail.com
1
Department of Electronics and Comm. Engineering, S. V. Polytechnic College, Bhopal, (M.P.), India
LEAD_AUTHOR
Prashant
Dubey
prashantdubeysvp@gmail.com
2
Department of Electronics and Comm. Engineering, S. V. Polytechnic College, Bhopal, (M.P.), India
AUTHOR
Mayank
Sharma
mayank.sharma@vitbhopal.ac.in
3
Mathematics Division, SASL, VIT University Bhopal, (M.P.), India
AUTHOR
Soni
Changlani
4
Department of Electronics and Comm. Engineering, LNCT College, Bhopal (M.P.), India
AUTHOR
ORIGINAL_ARTICLE
Best proximity point theorem in higher dimensions with an application
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.
https://ijnaa.semnan.ac.ir/article_6335_eb8129ea83975aa6489305342fd86c96.pdf
2022-03-01
97
108
10.22075/ijnaa.2022.6335
$F_n$-contractions
best proximity points
$P$-property
weak $P$-property
$n$-tuple best proximity points
Saranan
Mondal
sarananjdu@gmail.com
1
Department of Mathematics, National Institute of Technology, Durgapur, West Bengal, India
AUTHOR
Supriti
Laha
lahasupriti@gmail.com
2
Department of Mathematics, National Institute of Technology, Durgapur, West Bengal, India
AUTHOR
Ankush
Chanda
ankushchanda8@gmail.com
3
Department of Mathematics, Vellore Institute of Technology, Vellore, India
LEAD_AUTHOR
ORIGINAL_ARTICLE
Strong bi-ideals in bi-near subtraction semigroup
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 $XB^2\subseteq B$.
https://ijnaa.semnan.ac.ir/article_6336_c8f456fd6f31778f064cc0e944e9a6fa.pdf
2022-03-01
109
116
10.22075/ijnaa.2022.6336
$S$-bi-near subtraction semigroup
sub commutative
bi-ideals
M.
Banu
athiya3@gmail.com
1
Department of Mathematics, Sri Parasakthi College for Women, Courtallam, Tamil Nadu-627801, India
AUTHOR
S.
Jayalakshmi
jayarajkutti@gmail.com
2
Department of Mathematics, Sri Parasakthi College for Women, Courtallam, Tamil Nadu-627801, India
LEAD_AUTHOR
ORIGINAL_ARTICLE
Comparative performance analysis of spatial domain filtering techniques in digital image processing for removing different types of noise
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).
https://ijnaa.semnan.ac.ir/article_6337_6a0794b8d4be0ea2997e84613f074c9b.pdf
2022-03-01
117
125
10.22075/ijnaa.2022.6337
Image processing
Noise Removal
filtering techniques
mean square error (MSE)
signal to noise ratio(SNR)
Peak Signal noise ratio(PSNR)
Prashant
Dubey
prashantdubeysvp@gmail.com
1
Department of Electronics and Comm. Engineering, S. V. Polytechnic College, Bhopal, (M.P.), India
LEAD_AUTHOR
Pratima
Dubey
pratimadubeysvp@gmail.com
2
Department of Electronics and Comm. Engineering, S. V. Polytechnic College, Bhopal, (M.P.), India
AUTHOR
Mayank
Sharma
mayank.sharma@vitbhopal.ac.in
3
Mathematics Division, SASL, VIT University Bhopal, (M.P.), India
AUTHOR
Soni
Changlani
4
Department of Electronics and Comm. Engineering, LNCT College, Bhopal (M.P.), India
AUTHOR
ORIGINAL_ARTICLE
On weak $B$-bi-regular bi-near subtraction semigroup
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 $X$.
https://ijnaa.semnan.ac.ir/article_6338_d826d518db7aa79a2a6e330825a25b4d.pdf
2022-03-01
127
132
10.22075/ijnaa.2022.6338
weak $B$-bi-regular
$B$-bi-regular
bi-regular
$bar{S}$-bi-near subtraction semigroup
left (right) X-bi-algebra
M.
Banu
athiya3@gmail.com
1
Department of Mathematics, Sri Parasakthi College for Women, Courtallam, Tamil Nadu-627801, India
LEAD_AUTHOR
S.
Jayalakshmi
jayarajkutti@gmail.com
2
Department of Mathematics, Sri Parasakthi College for Women, Courtallam, Tamil Nadu-627801, India
AUTHOR
ORIGINAL_ARTICLE
A novel numerical technique and stability criterion of VF type integro-differential equations of non-integer order
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.
https://ijnaa.semnan.ac.ir/article_6339_5ccfdbeee149557df56404ecc63ce59f.pdf
2022-03-01
133
145
10.22075/ijnaa.2022.6339
Fixed point
Ulam Hyers stability
metric space
Dipankar
Saha
nayan0507@gmail.com
1
Department of Mathematics, National Institute of Technology Silchar, Assam, India
AUTHOR
Nimai
Sarkar
nimaisarkar298@gmail.com
2
Department of Mathematics, National Institute of Technology Silchar, Assam, India
LEAD_AUTHOR
Mausumi
Sen
senmausumi@gmail.com
3
Department of Mathematics, National Institute of Technology Silchar, Assam, India
AUTHOR
Subhankar
Saha
sahamech90@gmail.com
4
Department of Mechanical Engineering, National Institute of Technology Silchar, Assam, India
AUTHOR
ORIGINAL_ARTICLE
Thermal analysis on two Wheeler Piston with different materials by using FEA method
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.
https://ijnaa.semnan.ac.ir/article_6340_0707e2e828a0743c2f5264a28019d4c7.pdf
2022-03-01
147
155
10.22075/ijnaa.2022.6340
reciprocating engine
Thermal Analysis
Wheeler Piston
Neha
Choubey
neha.choubey@vitbhopal.ac.in
1
School of Applied Science and Language, VIT Bhopal, University, MP, India
LEAD_AUTHOR
Ashish
Shrivastava
ashish.shri.nri@gmail.com
2
Department of Mechanical Engineering, Sistec R, Bhopal, MP, India
AUTHOR
Abhishek
Choubey
abhishekchby2@gmail.com
3
Department of Mechanical Engineering, Sistec R, Bhopal, MP, India
AUTHOR
Swapnil
Singh
swapnilsingh066@gmail.com
4
Department of Mechanical Engineering, Rabindranath Tagore University, Bhopal, MP, India
AUTHOR
Balendra
Bhaskar
balendra.dream@gmail.com
5
Department of Mechanical Engineering, NIMS University Jaipur Rajasthan India
AUTHOR
ORIGINAL_ARTICLE
Fixed point theory in digital topology
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.
https://ijnaa.semnan.ac.ir/article_6375_8c209dc071d7138bca7163062cd3effe.pdf
2022-03-01
157
163
10.22075/ijnaa.2022.6375
fixed point theorems
Banach contraction principle
Digital images
digital contraction
digital metric space
R.
Kalaiarasi
kalaiarasi2019@vitbhopal.ac.in
1
Mathematics Division, SASL, VIT Bhopal University 466114(M.P), India
AUTHOR
Reena
Jain
reena.jain@vitbhopal.ac.in
2
Mathematics Division, SASL, VIT Bhopal University 466114(M.P), India
LEAD_AUTHOR