University of Maragheh
Sahand Communications in Mathematical Analysis
2322-5807
2423-3900
06
1
2017
04
01
$r$-fuzzy regular semi open sets in smooth topological spaces
1
17
EN
Appachi
Vadivel
Department of Mathematics, Annamalai University, Annamalai Nagar-608002, Tamil Nadu, India.
avmaths@gmail.com
Elangovan
Elavarasan
Department of Mathematics, Annamalai University, Annamalai Nagar-608002, Tamil Nadu, India.
maths.aras@gmail.com
10.22130/scma.2017.22080
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.
$r$-fuzzy regular semi open (closed) sets,$r$-fuzzy regular semi interior (closure) operator,Fuzzy regular semi continuous (irresolute) maps
http://scma.maragheh.ac.ir/article_22080.html
http://scma.maragheh.ac.ir/article_22080_6b6d5d86c4a101f32db67cdc439daa70.pdf
University of Maragheh
Sahand Communications in Mathematical Analysis
2322-5807
2423-3900
06
1
2017
04
01
Dynamic equivalence relation on the fuzzy measure algebras
19
28
EN
Roya
Ghasemkhani
Department of Mathematics, Faculty of Science, University of Jiroft, Jiroft, Iran.
roya.ghasemkhani@gmail.com
Uosef
Mohammadi
Department of Mathematics, Faculty of Science, University of Jiroft, Jiroft, Iran.
u.mohamadi@ujiroft.ac.ir
10.22130/scma.2017.22015
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.
Fuzzy measure algebra,Dynamical system,Equivalence relation,Uniformly continuous
http://scma.maragheh.ac.ir/article_22015.html
http://scma.maragheh.ac.ir/article_22015_386a0c0212ed48b855025307bda3aa1e.pdf
University of Maragheh
Sahand Communications in Mathematical Analysis
2322-5807
2423-3900
06
1
2017
04
01
Fuzzy weakly $e$-closed functions
29
37
EN
Veerappan
Chandrasekar
Department of Mathematics, Kandaswami Kandar's College, P-velur, Tamil Nadu-638 182, India.
vckkc3895@gmail.com
Somasundaram
Parimala
Research Scholar (Part Time), Department of Mathematics, Kandaswami Kandar's College, P-velur, Tamil Nadu-638 182, India.
pspmaths@gmail.com
10.22130/scma.2017.23649
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.
Fuzzy topology,Fuzzy $e$-closed functions,Fuzzy weakly $e$-closed functions,Fuzzy contra $e$-open functions
http://scma.maragheh.ac.ir/article_23649.html
http://scma.maragheh.ac.ir/article_23649_83ca0155b8a1e0d756e5be1c689630fe.pdf
University of Maragheh
Sahand Communications in Mathematical Analysis
2322-5807
2423-3900
06
1
2017
04
01
Fixed point results in cone metric spaces endowed with a graph
39
47
EN
Kamal
Fallahi
Department of Mathematics, Payame Noor University, P.O. Box 19395-3697, Tehran, Iran.
fallahi1361@gmail.com
Ghasem
Soleimani Rad
Department of Mathematics, Payame Noor University, P.O. Box 19395-3697, Tehran, Iran.
gh.soleimani2008@gmail.com
10.22130/scma.2017.23163
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.
Normal cone,Cone metric space,$c$-distance,Fixed point
http://scma.maragheh.ac.ir/article_23163.html
http://scma.maragheh.ac.ir/article_23163_0b45f04bdebc0d3a7cfa6e52d1e52803.pdf
University of Maragheh
Sahand Communications in Mathematical Analysis
2322-5807
2423-3900
06
1
2017
04
01
Approximation of fixed points for a continuous representation of nonexpansive mappings in Hilbert spaces
49
68
EN
Ebrahim
Soori
Department of Mathematics, Lorestan University, P.O. Box 465, Khoramabad, Lorestan, Iran.
sori.e@lu.ac.ir
10.22130/scma.2017.22988
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.
Continuous representation,Fixed point,Equilibrium problem,Nonexpansive mapping,Variational inequality
http://scma.maragheh.ac.ir/article_22988.html
http://scma.maragheh.ac.ir/article_22988_6164b5942bd9d9914849f5c337fac6fa.pdf
University of Maragheh
Sahand Communications in Mathematical Analysis
2322-5807
2423-3900
06
1
2017
04
01
The analytical solutions for Volterra integro-differential equations within Local fractional operators by Yang-Laplace transform
69
76
EN
Hassan Kamil
Jassim
Department of Mathematics, Faculty of Education for Pure Sciences, University of Thi-Qar, Nasiriyah, Iraq.
hassan.kamil28@yahoo.com
10.22130/scma.2017.23686
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.
Volterra integro-differential equation,Yang-Laplace transform,Local fractional derivative operators
http://scma.maragheh.ac.ir/article_23686.html
http://scma.maragheh.ac.ir/article_23686_f3ebd1266c52fc8a3318ef0f1567e9cc.pdf
University of Maragheh
Sahand Communications in Mathematical Analysis
2322-5807
2423-3900
06
1
2017
04
01
A generalization of Kannan and Chatterjea fixed point theorems on complete $b$-metric spaces
77
86
EN
Hamid
Faraji
Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, Iran.
hamid_ftmath@yahoo.com
Kourosh
Nourouzi
Faculty of Mathematics, K. N. Toosi University of Technology, P.O. Box 16315-1618, Tehran, Iran.
nourouzi@kntu.ac.ir
10.22130/scma.2017.23831
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.
$b$-metric space,Common fixed point,Altering distance function
http://scma.maragheh.ac.ir/article_23831.html
http://scma.maragheh.ac.ir/article_23831_6c258f4180145f5370b887cf815cd897.pdf