2017-09-21T11:28:26Z
http://scma.maragheh.ac.ir/?_action=export&rf=summon&issue=4098
Sahand Communications in Mathematical Analysis
SCMA
2322-5807
2322-5807
2017
6
1
$r$-fuzzy regular semi open sets in smooth topological spaces
Appachi
Vadivel
Elangovan
Elavarasan
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
2017
04
01
1
17
http://scma.maragheh.ac.ir/article_22080_6b6d5d86c4a101f32db67cdc439daa70.pdf
Sahand Communications in Mathematical Analysis
SCMA
2322-5807
2322-5807
2017
6
1
Dynamic equivalence relation on the fuzzy measure algebras
Roya
Ghasemkhani
Uosef
Mohammadi
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
2017
04
01
19
28
http://scma.maragheh.ac.ir/article_22015_386a0c0212ed48b855025307bda3aa1e.pdf
Sahand Communications in Mathematical Analysis
SCMA
2322-5807
2322-5807
2017
6
1
Fuzzy weakly $e$-closed functions
Veerappan
Chandrasekar
Somasundaram
Parimala
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
2017
04
01
29
37
http://scma.maragheh.ac.ir/article_23649_83ca0155b8a1e0d756e5be1c689630fe.pdf
Sahand Communications in Mathematical Analysis
SCMA
2322-5807
2322-5807
2017
6
1
Fixed point results in cone metric spaces endowed with a graph
Kamal
Fallahi
Ghasem
Soleimani Rad
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
2017
04
01
39
47
http://scma.maragheh.ac.ir/article_23163_0b45f04bdebc0d3a7cfa6e52d1e52803.pdf
Sahand Communications in Mathematical Analysis
SCMA
2322-5807
2322-5807
2017
6
1
Approximation of fixed points for a continuous representation of nonexpansive mappings in Hilbert spaces
Ebrahim
Soori
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
2017
04
01
49
68
http://scma.maragheh.ac.ir/article_22988_6164b5942bd9d9914849f5c337fac6fa.pdf
Sahand Communications in Mathematical Analysis
SCMA
2322-5807
2322-5807
2017
6
1
The analytical solutions for Volterra integro-differential equations within Local fractional operators by Yang-Laplace transform
Hassan Kamil
Jassim
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
2017
04
01
69
76
http://scma.maragheh.ac.ir/article_23686_f3ebd1266c52fc8a3318ef0f1567e9cc.pdf
Sahand Communications in Mathematical Analysis
SCMA
2322-5807
2322-5807
2017
6
1
A generalization of Kannan and Chatterjea fixed point theorems on complete $b$-metric spaces
Hamid
Faraji
Kourosh
Nourouzi
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
2017
04
01
77
86
http://scma.maragheh.ac.ir/article_23831_6c258f4180145f5370b887cf815cd897.pdf