eng
University of Maragheh
Sahand Communications in Mathematical Analysis
2322-5807
2423-3900
2017-04-01
06
1
1
17
10.22130/scma.2017.22080
22080
مقاله پژوهشی
$r$-fuzzy regular semi open sets in smooth topological spaces
Appachi Vadivel
avmaths@gmail.com
1
Elangovan Elavarasan
maths.aras@gmail.com
2
Department of Mathematics, Annamalai University, Annamalai Nagar-608002, Tamil Nadu, India.
Department of Mathematics, Annamalai University, Annamalai Nagar-608002, Tamil Nadu, India.
In this paper, we introduce and study the concept of $r$-fuzzy regular semi open (closed) sets in smooth topological spaces. By using $r$-fuzzy regular semi open (closed) sets, we define a new fuzzy closure operator namely $r$-fuzzy regular semi interior (closure) operator. Also, we introduce fuzzy regular semi continuous and fuzzy regular semi irresolute mappings. Moreover, we investigate the relationship among fuzzy regular semi continuous and fuzzy regular semi irresolute mappings. Finally, we have given some counter examples to show that these types of mappings are not equivalent.
http://scma.maragheh.ac.ir/article_22080_6b6d5d86c4a101f32db67cdc439daa70.pdf
$r$-fuzzy regular semi open (closed) sets
$r$-fuzzy regular semi interior (closure) operator
Fuzzy regular semi continuous (irresolute) maps
eng
University of Maragheh
Sahand Communications in Mathematical Analysis
2322-5807
2423-3900
2017-04-01
06
1
19
28
10.22130/scma.2017.22015
22015
مقاله پژوهشی
Dynamic equivalence relation on the fuzzy measure algebras
Roya Ghasemkhani
roya.ghasemkhani@gmail.com
1
Uosef Mohammadi
u.mohamadi@ujiroft.ac.ir
2
Department of Mathematics, Faculty of Science, University of Jiroft, Jiroft, Iran.
Department of Mathematics, Faculty of Science, University of Jiroft, Jiroft, Iran.
The main goal of the present paper is to extend classical results from the measure theory and dynamical systems to the fuzzy subset setting. In this paper, the notion of dynamic equivalence relation is introduced and then it is proved that this relation is an equivalence relation. Also, a new metric on the collection of all equivalence classes is introduced and it is proved that this metric is complete.
http://scma.maragheh.ac.ir/article_22015_386a0c0212ed48b855025307bda3aa1e.pdf
Fuzzy measure algebra
Dynamical system
Equivalence relation
Uniformly continuous
eng
University of Maragheh
Sahand Communications in Mathematical Analysis
2322-5807
2423-3900
2017-04-01
06
1
29
37
10.22130/scma.2017.23649
23649
مقاله پژوهشی
Fuzzy weakly $e$-closed functions
Veerappan Chandrasekar
vckkc3895@gmail.com
1
Somasundaram Parimala
pspmaths@gmail.com
2
Department of Mathematics, Kandaswami Kandar's College, P-velur, Tamil Nadu-638 182, India.
Research Scholar (Part Time), Department of Mathematics, Kandaswami Kandar's College, P-velur, Tamil Nadu-638 182, India.
In this paper, we introduce and characterize fuzzy wea-kly $e$-closed functions in fuzzy topological spaces and the relationship between these mappings and some properties of them are investigated.
http://scma.maragheh.ac.ir/article_23649_83ca0155b8a1e0d756e5be1c689630fe.pdf
Fuzzy topology
Fuzzy $e$-closed functions
Fuzzy weakly $e$-closed functions
Fuzzy contra $e$-open functions
eng
University of Maragheh
Sahand Communications in Mathematical Analysis
2322-5807
2423-3900
2017-04-01
06
1
39
47
10.22130/scma.2017.23163
23163
مقاله پژوهشی
Fixed point results in cone metric spaces endowed with a graph
Kamal Fallahi
fallahi1361@gmail.com
1
Ghasem Soleimani Rad
gh.soleimani2008@gmail.com
2
Department of Mathematics, Payame Noor University, P.O. Box 19395-3697, Tehran, Iran.
Department of Mathematics, Payame Noor University, P.O. Box 19395-3697, Tehran, Iran.
In this paper, we prove the existence of fixed point for Chatterjea type mappings under $c$-distance in cone metric spaces endowed with a graph. The main results extend, generalized and unified some fixed point theorems on $c$-distance in metric and cone metric spaces.
http://scma.maragheh.ac.ir/article_23163_0b45f04bdebc0d3a7cfa6e52d1e52803.pdf
Normal cone
Cone metric space
$c$-distance
Fixed point
eng
University of Maragheh
Sahand Communications in Mathematical Analysis
2322-5807
2423-3900
2017-04-01
06
1
49
68
10.22130/scma.2017.22988
22988
مقاله پژوهشی
Approximation of fixed points for a continuous representation of nonexpansive mappings in Hilbert spaces
Ebrahim Soori
sori.e@lu.ac.ir
1
Department of Mathematics, Lorestan University, P.O. Box 465, Khoramabad, Lorestan, Iran.
This paper introduces an implicit scheme for a continuous representation of nonexpansive mappings on a closed convex subset of a Hilbert space with respect to a sequence of invariant means defined on an appropriate space of bounded, continuous real valued functions of the semigroup. The main result is to prove the strong convergence of the proposed implicit scheme to the unique solution of the variational inequality on the solution of systems of equilibrium problems and the common fixed points of a sequence of nonexpansive mappings and a continuous representation of nonexpansive mappings.
http://scma.maragheh.ac.ir/article_22988_6164b5942bd9d9914849f5c337fac6fa.pdf
Continuous representation
Fixed point
Equilibrium problem
Nonexpansive mapping
Variational inequality
eng
University of Maragheh
Sahand Communications in Mathematical Analysis
2322-5807
2423-3900
2017-04-01
06
1
69
76
10.22130/scma.2017.23686
23686
مقاله پژوهشی
The analytical solutions for Volterra integro-differential equations within Local fractional operators by Yang-Laplace transform
Hassan Kamil Jassim
hassan.kamil28@yahoo.com
1
Department of Mathematics, Faculty of Education for Pure Sciences, University of Thi-Qar, Nasiriyah, Iraq.
In this paper, we apply the local fractional Laplace transform method (or Yang-Laplace transform) on Volterra integro-differential equations of the second kind within the local fractional integral operators to obtain the analytical approximate solutions. The iteration procedure is based on local fractional derivative operators. This approach provides us with a convenient way to find a solution with less computation as compared with local fractional variational iteration method. Some illustrative examples are discussed. The results show that the methodology is very efficient and a simple tool for solving integral equations.
http://scma.maragheh.ac.ir/article_23686_f3ebd1266c52fc8a3318ef0f1567e9cc.pdf
Volterra integro-differential equation
Yang-Laplace transform
Local fractional derivative operators
eng
University of Maragheh
Sahand Communications in Mathematical Analysis
2322-5807
2423-3900
2017-04-01
06
1
77
86
10.22130/scma.2017.23831
23831
مقاله پژوهشی
A generalization of Kannan and Chatterjea fixed point theorems on complete $b$-metric spaces
Hamid Faraji
hamid_ftmath@yahoo.com
1
Kourosh Nourouzi
nourouzi@kntu.ac.ir
2
Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, Iran.
Faculty of Mathematics, K. N. Toosi University of Technology, P.O. Box 16315-1618, Tehran, Iran.
In this paper, we give some results on the common fixed point of self-mappings defined on complete $b$-metric spaces. Our results generalize Kannan and Chatterjea fixed point theorems on complete $b$-metric spaces. In particular, we show that two self-mappings satisfying a contraction type inequality have a unique common fixed point. We also give some examples to illustrate the given results.
http://scma.maragheh.ac.ir/article_23831_6c258f4180145f5370b887cf815cd897.pdf
$b$-metric space
Common fixed point
Altering distance function