Research & Science Group Ltd.
Communications in Nonlinear Analysis
2371-7920
8
2
2020
12
01
Some results for uniformly Lipchizian mappings in convex modular spaces
1
8
EN
Adewale
Olusola
Kayode
Department of Mathematics, University of Lagos
adewalekayode2@yahoo.com
In this paper, we introduce the concept of generalized uniformly L-Lipchizian mappings with constant $u$ and a strong convergence theorem for a pair of generalized uniformly L-Lipchizian mappings in convex modular spaces. Our work generalizes and extends a good number of results in this area of research.
uniformly L-Lipchizian,asymptotically nonexpansive,asymptotically pseudo-contractive mapping,convex modular space,fixed point
https://www.cna-journal.com/article_108427.html
https://www.cna-journal.com/article_108427_aa0ed0583b2c14bf24d90be1dd381109.pdf
Research & Science Group Ltd.
Communications in Nonlinear Analysis
2371-7920
8
2
2020
12
01
A large averaging modified implicit iterative scheme with errors for finite family of asymtotically φ-demicontractive mappings
9
27
EN
Austine
E.
Ofem
0000-0001-8064-2326
Department of Mathematics, University of Uyo, Uyo, Nigeria
ofemaustine@gmail.com
Donatus
Igbokwe
Department of Mathematics, Michael Okpara University of Agriculture, University of Agriculture, Umidke, Nigeria
igbogwedi@yahoo.com
In this paper, a three-step implicit iteration process with errors is introduced and we prove strong convergence theorem of the new iterative scheme with some mild conditions on the real sequences to a common fixed point of finite family of asymptotically φ-demicontractive mappings defined on a closed convex subset of a Banach space. The new iterative scheme includes several well known explicit and implicit iterative schemes. The results in this paper generalize several strong convergence results in the literature.
fixed point,Banach space,Implicit iteration process,asymptotically φ-demicontractive mappings. 2010 AMS Subject Classification: 47H09
https://www.cna-journal.com/article_109481.html
https://www.cna-journal.com/article_109481_4d73219c2087fb2cdad0ec0870ae9876.pdf
Research & Science Group Ltd.
Communications in Nonlinear Analysis
2371-7920
8
2
2020
12
01
New Iteration Algorithms for Finite Family of Two Quasi-nonexpansive Mappings Satisfying Jointly Demiclosedness Principle in Banach Spaces
28
43
EN
Imo
Kalu
Agwu
0000-0003-4535-1974
Department of Mathematics, Micheal Okpara University of Agriculture, Umudike, Umuahia, Abia State, Nigeria
agwuimo@gmail.com
In this paper, we propose and study two iteration schemes (modified Halpern's type and HS-iteration schemes). Furthermore, it is proved that if two infinite families of quasi-nonexpansive mappings satisfy jointly demiclosedness principle, then under appropriate conditions on the iteration parameters, the schemes so introduced strongly converge to the common fixed points of the mappings. Our main results improve and generalize the results in literture and many other existing results currently in literature.
Quasi-onexpansive Mappings,Modified Halpern's Type and HS-Iteration Schemes,Jointly Demiclosedness Principle,Uniformly Convex Banach Space
https://www.cna-journal.com/article_110883.html
https://www.cna-journal.com/article_110883_e867581f6bf23587c5f6c4d07e325688.pdf
Research & Science Group Ltd.
Communications in Nonlinear Analysis
2371-7920
8
2
2020
12
01
Study a semi-linear pseudo-parabolic problem with Neumann and integral conditions by using Galerkin mixed finite element method
44
55
EN
Sihem
Benamira
Departement of mathematics University Mentouri Constantine 1., Algeria.
s.benamira@yahoo.fr
Taki-Eddine
Oussaeif
Department of Mathematics and Computer science, Oum El Bouaghi University, Algeria
takieddine.oussaeif@gmail.com
Abdalfeteh
Bouziani
Department of Mathematics and Computer science, Oum El Bouaghi University, Algeria
aefbouziani@yahoo.fr
In this paper, we establish sufficient conditions for the the existence, uniqueness, and continuous dependence of generalized solution of a semi-linear pseudo-parabolic problem with Neumann condition and integral boundary condition of first type. The results are by the application of the method based on a priori estimate "energy inequality" and the finite element method based on the Faedo-Galerkin technique.
Nonlocal conditions,Finite element method,A priori estimates,Non-Classical Space,existence,uniqueness
https://www.cna-journal.com/article_112711.html
https://www.cna-journal.com/article_112711_4f4933b70b15adc970ed8a8f28b907f8.pdf
Research & Science Group Ltd.
Communications in Nonlinear Analysis
2371-7920
8
2
2020
12
01
Some Ostrowski type inequalities for functions whose modulus of the first derivatives are log-preinvex via k-Riemann-Liouville fractional integrals
56
74
EN
Badreddine
Meftah
Department of Mathematics, Faculty of Mathematics, Computer and
Material Sciences, University 8 mai 1945 Guelma, Algeria.
badrimeftah@yahoo.fr
Safa
Bouchehed
Department of Mathematics, Faculty of Mathematics, Computer and
Material Sciences, University 8 mai 1945 Guelma, Algeria.
bouchehedsafa@yahoo.com
Hala
Djebabla
Department of Mathematics, Faculty of Mathematics, Computer and
Material Sciences, University 8 mai 1945 Guelma, Algeria.
djebablahala17@gmail.com
In this paper, we establish a new identity integral, then we derive some Ostrowski's inequalities for functions whose modulus of the first derivatives are log-preinvex via k-Riemann-Liouville fractional<br />integral.
Ostrowski inequality,k-Riemann-Liouville operator integrals,Hölder inequality,log-preinvexity
https://www.cna-journal.com/article_112712.html
https://www.cna-journal.com/article_112712_9f624a5ba3252fcdff8508b730dcbe46.pdf
Research & Science Group Ltd.
Communications in Nonlinear Analysis
2371-7920
8
2
2020
12
01
Qualitative Theory and Numerical Simulation of SIRC Model Corresponding to Nonlocal Fractional Order derivative
75
91
EN
Amjad
Ali
Department of Mathematics, Govt P.G Jahanzeb College Swat, Khyber
Pakhtunkhwa, Pakistan
amjadalimna@yahoo.com
Muhammad
Yasin
Khan
Department of Mathematics, Islamia College University, Peshawar, Khyber
Pakhtunkhwa, Pakistan.
yasin27swt@gmail.com
Gohar
Ali
Department of Mathematics, Islamia College University, Peshawar, Khyber
Pakhtunkhwa, Pakistan.
goharali@icp.ed.pk
In this article, the existence theory and numerical solutions for fractional order SIRC model via nonlocal fractional order derivative are developed. Using the tools of analysis, the conditions for the existence and stability of the proposed model are established. With the help of Laplace Adomain Decomposition method, we obtain the approximate solutions for the underlying model. In the last part, using Matlab, we plotted various graphs to discuss the proposed model for different fractional order values of $xi$.
Fractional derivatives,Fixed point theory,Ulams type Stabilities,Mathematical Modeling,Approximate solutions,Laplace-Adomian decomposition method
https://www.cna-journal.com/article_112713.html
https://www.cna-journal.com/article_112713_4d931f2261c07277f73fb4664b6b8838.pdf
Research & Science Group Ltd.
Communications in Nonlinear Analysis
2371-7920
8
2
2020
12
01
Integral Type Version for Hardy and Roger Type Mapping in Dislocated Metric (d-Metric) Space
92
99
EN
Mujeeb
Ur
Rahman
Department of Mathematics, Govt P.G Jahanzeb College Swat, Khyber
Pakhtunkhwa, Pakistan
mujeebswt@gmail.com
Amjad
Ali
Department of Mathematics, Govt P.G Jahanzeb College Swat, Khyber
Pakhtunkhwa, Pakistan
amjadalimna@yahoo.com
Abstract. This work is dedicated to establish a common fixed point theorem for<br />integral type mapping. We will introduce integral type version for Hardy and Roger<br />type mapping using the concept of weakly compatible mappings in the context of<br />dislocated metric (d-metric) space. Several corollaries may be deduced from the<br />establish result.
Key Words and Phrases: Dislocated metric space,self-mapping,Cauchy sequence,common fixed point,weakly compatible mappings,Coincidence point
https://www.cna-journal.com/article_115420.html
https://www.cna-journal.com/article_115420_144339c4633bf94cdc5e0587aacc052d.pdf
Research & Science Group Ltd.
Communications in Nonlinear Analysis
2371-7920
8
2
2020
12
01
Fixed point theorem for generalized quasi orbit type contraction mapping in re-defined generalized metric spaces
100
109
EN
Sartaj
Ali
0000-0001-9423-2387
Department of Mathematics Govt College Chamla, Higher
Education Department, KP, Peshawar, Pakistan.
sartajali2004@yahoo.com
Muhammad
Sarwar
0000-0003-3904-8442
Department of Mathematics University of Malakand Chakdara Dir
(L) Pakistan
srawarswati@gmail.com
Wasim
Ahmad
Department of Mathematics University of Malakand Chakdara Dir
(L) Pakistan
In this manuscript, a fixed point theorem for generalized quasi orbit contractive type mappings is studied in the context of re-defined generalized metric spaces. Moreover, an appropriate example is also constructed to check the validity of the established result.
re-defined generalized metric space,Cauchy sequence,orbit type contractive condition
https://www.cna-journal.com/article_118110.html
https://www.cna-journal.com/article_118110_2dad60345a66ffcb3122a15a9e31bf9b.pdf
Research & Science Group Ltd.
Communications in Nonlinear Analysis
2371-7920
8
2
2020
12
01
Classification of positive solutions for nonlinear differential systems
110
119
EN
Lianwen
Wang
School of Computer Science and Mathematics, University of Central Missouri, Warrensburg, MO 64093, USA
lwang@ucmo.edu
The classification of positive solutions for a class of nonlinear differential systems is investigated. Necessary and sufficient conditions are established for the existence of certain solutions. Sufficient conditions for the nonexistence of certain solutions are also discussed. In particular, some sufficient conditions for the nonexistence are optimal in some sense.
Classification,existence,nonexistence,positive solution,nonlinear differential system
https://www.cna-journal.com/article_117911.html
https://www.cna-journal.com/article_117911_3238e3e7186ce0b6dfc6ba99ff2c83a7.pdf
Research & Science Group Ltd.
Communications in Nonlinear Analysis
2371-7920
8
2
2020
12
01
Location of Zeros of Polynomials
120
130
EN
Ramulu
Purra
Department of Mathematics, M.V.S Govt. Arts and Science
College(Autonomous), Mahabubnagar, Telangana, India
ramulu.purra@gmail.com
G.L.
Reddy
School of Mathematics and Statistics, University of Hyderabad, India, 500046.
glrsm@uohyd.ernet.in
In this paper we consider the problem of finding the estima-<br />tion of maximum number of zeros in a prescribed region and the results<br />which we obtain generalize and improve upon some well known results.
Zeros of polynomial,Enestrom- Kakeya theorem,Prescribed region
https://www.cna-journal.com/article_118114.html
https://www.cna-journal.com/article_118114_40a30d5bca245f4189144e64e67ed2e4.pdf