2021-12-05T18:00:11Z
https://ijnaa.semnan.ac.ir/?_action=export&rf=summon&issue=421
International Journal of Nonlinear Analysis and Applications
IJNAA
2018
9
2
Numerical algorithm for discrete barrier option pricing in a Black-Scholes model with stationary process
Rahman
Farnoosh
Hamidreza
Rezazadeh
Amirhossein
Sobhani
Masoud
Hasanpour
In this article, we propose a numerical algorithm for computing price of discrete single and double barrier option under the \emph{Black-Scholes} model. In virtue of some general transformations, the partial differential equations of option pricing in different monitoring dates are converted into simple diffusion equations. The present method is fast compared to alternative numerical methods presented in previous papers.
Discrete Barrier Option
emph{Black-Scholes} Model
Constant Parameters
2018
12
01
1
7
https://ijnaa.semnan.ac.ir/article_3490_e9dc9637e7faed498b3c25279b93fb11.pdf
International Journal of Nonlinear Analysis and Applications
IJNAA
2018
9
2
Symmetric Rogers-Hölder's inequalities on diamond-α calculus
Sajid
Iqbal
Muhammad
Jibril Shahab Sahir
Muhammad
Samraiz
We present symmetric Rogers--Hölder's inequalities on time scales when $\frac{1}{p}+\frac{1}{q}+\frac{1}{r}=0$ and $\frac{r}{p}+\frac{r}{q}$ is not necessarily equal to $1$ where $p,$ $q$ and $r$ are nonzero real numbers.
Diamond-$alpha$ integral
Rogers-Hölder's inequalities
time scales
2018
12
01
9
19
https://ijnaa.semnan.ac.ir/article_3491_99dcc0be916ae65dbe4e4d984b19863b.pdf
International Journal of Nonlinear Analysis and Applications
IJNAA
2018
9
2
Nonlinear dynamic of the multicellular chopper
Djondin
Philippe
Jean-Pierre
Barbot
In this paper, the dynamics of multicellular chopper are considered. The model is described by a continuous time three--dimensional autonomous system. Some basic dynamical properties such as Poincar\'e mapping, power spectrum and chaotic behaviors are studied. Analysis results show that this system has complex dynamics with some interesting characteristics.
Chaos
multicellular chopper
dynamical properties
chaotic attractor
routes to chaos
2018
12
06
21
31
https://ijnaa.semnan.ac.ir/article_3492_56510194ff66e9a2f31ddc19c6a3b579.pdf
International Journal of Nonlinear Analysis and Applications
IJNAA
2018
9
2
An existence result for n^{th}-order nonlinear fractional differential equations
Ali
Benlabbes
Maamar
Benbachir
Mustapha
Lakrib
In this paper, we investigate the existence of solutions of some three-point boundary value problems for n-th order nonlinear fractional differential equations with higher boundary conditions by using a fixed point theorem on cones.
Caputo fractional derivative
three-point boundary value problem
fixed point theorem on cones
2018
12
12
33
45
https://ijnaa.semnan.ac.ir/article_3493_42f30dd586fe63bb05aaae937088de0f.pdf
International Journal of Nonlinear Analysis and Applications
IJNAA
2018
9
2
Multiple solutions of a nonlinear reactive transport model using least square pseudo-spectral collocation method
Elyas
Shivanian
Saeid
Abbasbandy
The recognition and the calculation of all branches of solutions of the nonlinear boundary value problems is difficult obviously. The complexity of this issue goes back to the being nonlinearity of the problem. Regarding this matter, this paper considers steady state reactive transport model which does not have exact closed-form solution and discovers existence of dual or triple solutions in some cases using a new hybrid method based on pseudo-spectral collocation in the sense of least square method. Furthermore, the method usages Picard iteration and Newton method to treat nonlinear term in order to obtain unique and multiple solutions of the problem, respectively.
Pseudo-spectral collocation method
Least square method
Newton iteration method
Picard iteration
Chebyshev-Gauss-Lobatto points
2018
12
14
47
57
https://ijnaa.semnan.ac.ir/article_3494_4c905e7d18378893866322225fe54d53.pdf
International Journal of Nonlinear Analysis and Applications
IJNAA
2018
9
2
Coefficient bounds for a new class of univalent functions involving Salagean operator and the modified Sigmoid function
Olubunmi
Fadipe-Joseph
W.
Ademosu
G.
Murugusundaramoorthy
We define a new subclass of univalent function based on Salagean differential operator and obtained the initial Taylor coefficients using the techniques of Briot-Bouquet differential subordination in association with the modified sigmoid function. Further we obtain the classical Fekete-Szego inequality results.
Univalent functions
Briot-Bouquet differential equation
Integral Operator
Sv{a}lv{a}gean differential operator
2018
12
10
59
69
https://ijnaa.semnan.ac.ir/article_3495_185b784a98886e32bb1fbec5c5ab08ec.pdf
International Journal of Nonlinear Analysis and Applications
IJNAA
2018
9
2
Generalized multivalued $F$-contractions on non-complete metric spaces
Hamid
Baghani
In this paper, we explain a new generalized contractive condition for multivalued mappings and prove a fixed point theorem in metric spaces (not necessary complete) which extends some well-known results in the literature. Finally, as an application, we prove that a multivalued function satisfying a general linear functional inclusion admits a unique selection fulfilling the corresponding functional equation.
Fixed point theorem
Weakly Picard operator
O-complete metric space
Selections of multivalued functions
2018
12
11
71
84
https://ijnaa.semnan.ac.ir/article_3496_4b64c826687d159161940de7dcd0b715.pdf
International Journal of Nonlinear Analysis and Applications
IJNAA
2018
9
2
Fixed point theorems under weakly contractive conditions via auxiliary functions in ordered $G$-metric spaces
Hemant Kumar
Nashine
Atul
Kumar Sharma
We present some fixed point results for a single mapping and a pair of compatible mappings via auxiliary functions which satisfy a generalized weakly contractive condition in partially ordered complete $G$-metric spaces. Some examples are furnished to illustrate the useability of our main results. At the end, an application is presented to the study of existence and uniqueness of solutions for a boundary value problem for certain second order ODE and the respective integral equation.
$G$-metric space
Weakly contraction condition
Altering distance function
Compatible mappings
Coincidence point
2018
12
14
85
109
https://ijnaa.semnan.ac.ir/article_3503_49b512c18a4eb3d87910b9125ccef4dc.pdf
International Journal of Nonlinear Analysis and Applications
IJNAA
2018
9
2
A class of certain properties of approximately n-multiplicative maps between locally multiplicatively convex algebras
Zohre
Heidarpour
Esmaeil
Ansari-Piri
Hamid
Shayanpour
Ali
Zohri
We extend the notion of approximately multiplicative to approximately n-multiplicative maps between locally multiplicatively convex algebras and study some properties of these maps. We prove that every approximately n-multiplicative linear functional on a functionally continuous locally multiplicatively convex algebra is continuous. We also study the relationship between approximately multiplicative linear functionals and approximately n-multiplicative linear functionals.
Almost multiplicative maps
n-homomorphism maps
approximately n-multiplicatives
LMC algebras
2018
12
13
111
116
https://ijnaa.semnan.ac.ir/article_3510_7ba671699220e09a6a455a6e8874ad8b.pdf
International Journal of Nonlinear Analysis and Applications
IJNAA
2018
9
2
Strict fixed points of '{C}iri'{c}-generalized weak quasicontractive multi-valued mappings of integral type
Babak
Mohammadi
Many authors such as Amini-Harandi, Rezapour et al., Kadelburg et al., have tried to find at least one fixed point for quasi-contractions when $\alpha\in[\frac{1}{2}, 1)$ but no clear answer exists right now and many of them either have failed or changed to a lighter version. In this paper, we introduce some new strict fixed point results in the set of multi-valued \'{C}iri\'{c}-generalized weak quasi-contraction mappings of integral type. We consider a necessary and sufficient condition on such mappings which guarantees the existence of unique strict fixed point of such mappings. Our result is a partial positive answer for the mentioned problem which has remained open for many years. Also, we give an strict fixed point result of $\alpha$-$\psi$-quasicontractive multi-valued mappings of integral type. Our results generalize and improve many existing results on multi-valued mappings in literature. Moreover, some examples are presented to support our new class of multi-valued contractions.
strict fixed point
'{C}iri'{c}-generalized weak quasi-contraction
multi-valued mappings
integral type
2018
12
15
117
129
https://ijnaa.semnan.ac.ir/article_3511_e5747011237bd65360933a55ff42edcd.pdf
International Journal of Nonlinear Analysis and Applications
IJNAA
2018
9
2
An extended multidimensional Hardy-Hilbert-type inequality with a general homogeneous kernel
Bicheng
Yang
In this paper, by the use of the weight coefficients, the transfer formula and the technique of real analysis, an extended multidimensional Hardy-Hilbert-type inequality with a general homogeneous kernel and a best possible constant factor is given. Moreover, the equivalent forms, the operator expressions and a few examples are considered.
Hardy-Hilbert-type inequality
weight coefficient
equivalent form
operator
norm
2018
12
17
131
143
https://ijnaa.semnan.ac.ir/article_3512_74c207a1281ac51dea5d782dbbcc5f68.pdf
International Journal of Nonlinear Analysis and Applications
IJNAA
2018
9
2
Ulam stabilities for nonlinear Volterra-Fredholm delay integrodifferential equations
Kishor
Kucche
Pallavi
Shikhare
In the present research paper we derive results about existence and uniqueness of solutions and Ulam--Hyers and Rassias stabilities of nonlinear Volterra--Fredholm delay integrodifferential equations. Pachpatte's inequality and Picard operator theory are the main tools that are used to obtain our main results. We concluded this work with applications of obtained results and few illustrative examples.
Volterra-Fredholm integrodifferential equations
Ulam-Hyers stability
Ulam-Hyers--Rassias stability
Integral inequality
Picard operator
2018
12
17
145
159
https://ijnaa.semnan.ac.ir/article_3514_63fd6817160ec6464f7d75a15bd85c7f.pdf
International Journal of Nonlinear Analysis and Applications
IJNAA
2018
9
2
Some notes on ``Common fixed point of two $R$-weakly commuting mappings in $b$-metric spaces"
Shaoyuan
Xu
Suyu
Cheng
Stojan
Radenović
Very recently, Kuman et al. [P. Kumam, W. Sintunavarat, S. Sedghi, and N. Shobkolaei. Common Fixed Point of Two $R$-Weakly Commuting Mappings in $b$-Metric Spaces. Journal of Function Spaces, Volume 2015, Article ID 350840, 5 pages] obtained some interesting common fixed point results for two mappings satisfying generalized contractive condition in $b$-metric space without the assumption of the continuity of the $b$-metric, but unfortunately, there exists a gap in the proof of the main result. In this note, we point out and fill such gap by making some remarks and offering a new proof for the result. It should be mentioned that our proofs for some key assertions of the main result are new and somewhat different from the original ones. In addition, we also present a result to check the continuity of the $b$-metrics which is found effective and workable when applied to some examples.
$b$-metric spaces
$R$-weakly commuting mappings
the continuity concerning the $b$-metric
common fixed points
2018
12
18
161
167
https://ijnaa.semnan.ac.ir/article_3522_827c9ac2f28ad1c61f6bf515685d7838.pdf
International Journal of Nonlinear Analysis and Applications
IJNAA
2018
9
2
Coupled fixed points of generalized Kanann contraction and its applications
Naser
Ghafoori Adl
Davood
Ebrahimi Bagha
Mohammad Sadegh
Asgari
The purpose of this paper is to find of the theoretical results of fixed point theorems for a mixed monotone mapping in a metric space endowed with partially order by using the generalized Kanann type contractivity of assumption. Also, as an application, we prove the existence and uniqueness of solution for a first-order ordinary differential equation with periodic boundary conditions admitting only the existence of a mixed $\leq$-solution.
Coupled fixed point
Generalized Kanann mapping
partially ordered set
Periodic boundary value problem
2018
12
19
169
178
https://ijnaa.semnan.ac.ir/article_3523_0f18082d7d6d237aaa0fc831ba4718d4.pdf
International Journal of Nonlinear Analysis and Applications
IJNAA
2018
9
2
Fixed Point Theorems For Weak Contractions in Dualistic Partial Metric Spaces
Muhammad
Nazam
Arshad
Muhammad
In this paper, we describe some topological properties of dualistic partial metric spaces and establish some fixed point theorems for weak contraction mappings of rational type defined on dual partial metric spaces. These results are generalizations of some existing results in the literature. Moreover, we present examples to illustrate our result.
fixed point
dualistic partial metric
Weak contractions
2018
12
21
179
190
https://ijnaa.semnan.ac.ir/article_3524_2a484f1a955c18b99c48065c0b450821.pdf
International Journal of Nonlinear Analysis and Applications
IJNAA
2018
9
2
On a $k$-extension of the Nielsen's $beta$-Function
Kwara
Nantomah
Kottakkaran
Nisar
Kuldeep
Gehlot
Motivated by the $k$-digamma function, we introduce a $k$-extension of the Nielsen's $\beta$-function, and further study some properties and inequalities of the new function.
Nielsen's $beta$-function
$k$-extension
$k$-digamma function
inequality
2018
12
24
191
201
https://ijnaa.semnan.ac.ir/article_3525_262b738fee357c360fe1e5165b37d43a.pdf
International Journal of Nonlinear Analysis and Applications
IJNAA
2018
9
2
Yang-Laplace transform method Volterra and Abel's integro-differential equations of fractional order
Fuat
Usta
Huseyin
Budak
Mehmet
Sarikaya
This study outlines the local fractional integro-differential equations carried out by the local fractional calculus. The analytical solutions within local fractional Volterra and Abel’s integral equations via the Yang-Laplace transform are discussed. Some illustrative examples will be discussed. The obtained results show the simplicity and efficiency of the present technique with application to the problems for the local fractional integral equations.
Local fractional calculus
Volterra and Abel’s integral equations
Yang-Laplace transform
2018
12
25
203
214
https://ijnaa.semnan.ac.ir/article_3526_33ab662aac9af5fdeb7e6becf20ed364.pdf
International Journal of Nonlinear Analysis and Applications
IJNAA
2018
9
2
A new algorithm for computing SAGBI bases up to an arbitrary degree
Shahnaz
Fakouri
Abdolali
Basiri
Sajjad
Rahmani
We present a new algorithm for computing a SAGBI basis up to an arbitrary degree for a subalgebra generated by a set of homogeneous polynomials. Our idea is based on linear algebra methods which cause a low level of complexity and computational cost. We then use it to solve the membership problem in subalgebras.
SAGBI basis
SAGBI algorithm
subalgebra membership problem
homogeneous polynomial
2018
12
26
215
221
https://ijnaa.semnan.ac.ir/article_3530_27f14ecaa26f792a3f495500263a548b.pdf
International Journal of Nonlinear Analysis and Applications
IJNAA
2018
9
2
Certain subclass of $p$-valent meromorphic Bazilevi'{c} functions defined by fractional $q$-calculus operators
Abdul Rahman
Juma
Mushtaq
Abdulhussain
Saba
Al-khafaji
The aim of the present paper is to introduce and investigate a new subclass of Bazilevi\'{c} functions in the punctured unit disk $\mathcal{U}^*$ which have been described through using of the well-known fractional $q$-calculus operators, Hadamard product and a linear operator. In addition, we obtain some sufficient conditions for the functions belonging to this class and for some of its subclasses.
Meromorphic $p$-valent functions
Hadamard product
Bazilevi'{c} function
fractional $q$-calculus operators
2018
12
28
223
230
https://ijnaa.semnan.ac.ir/article_3531_02e40a41822e83d902f511a067178334.pdf
International Journal of Nonlinear Analysis and Applications
IJNAA
2018
9
2
A nonlinear multi objective model for the product portfolio optimization: An integer programming
Nahid
Dorostkar-Ahmadi
Mohsen
Shafiei Nikabadi
Optimization of the product portfolio has been recognized as a critical problem in industry, management, economy and so on. It aims at the selection of an optimal mix of the products to offer in the target market. As a probability function, reliability is an essential objective of the problem which linear models often fail to evaluate it. Here, we develop a multiobjective integer nonlinear constraint model for the problem. Our model provides opportunities to consider the knowledge transferring cost and the environmental effects, as nowadays important concerns of the world, in addition to the classical factors operational cost and reliability. Also, the model is designed in a way to simultaneously optimize the input materials and the products. Although being to some extent complicated, the model can be efficiently solved by the metaheuristic algorithms. Finally, we make some numerical experiments on a simulated test problem.
Product portfolio optimization
nonlinear programming
multiobjective optimization
Reliability
metaheuristic algorithm
2018
12
29
231
239
https://ijnaa.semnan.ac.ir/article_3528_c56d3bfeaa4c68e6a9041801e356f6cf.pdf