$r$-fuzzy regular semi open sets in smooth topological spaces
Appachi
Vadivel
Department of Mathematics, Annamalai University, Annamalai Nagar-608002, Tamil Nadu, India.
author
Elangovan
Elavarasan
Department of Mathematics, Annamalai University, Annamalai Nagar-608002, Tamil Nadu, India.
author
text
article
2017
eng
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.
Sahand Communications in Mathematical Analysis
University of Maragheh
2322-5807
06
v.
1
no.
2017
1
17
https://scma.maragheh.ac.ir/article_22080_6b6d5d86c4a101f32db67cdc439daa70.pdf
dx.doi.org/10.22130/scma.2017.22080
Dynamic equivalence relation on the fuzzy measure algebras
Roya
Ghasemkhani
Department of Mathematics, Faculty of Science, University of Jiroft, Jiroft, Iran.
author
Uosef
Mohammadi
Department of Mathematics, Faculty of Science, University of Jiroft, Jiroft, Iran.
author
text
article
2017
eng
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.
Sahand Communications in Mathematical Analysis
University of Maragheh
2322-5807
06
v.
1
no.
2017
19
28
https://scma.maragheh.ac.ir/article_22015_386a0c0212ed48b855025307bda3aa1e.pdf
dx.doi.org/10.22130/scma.2017.22015
Fuzzy weakly $e$-closed functions
Veerappan
Chandrasekar
Department of Mathematics, Kandaswami Kandar's College, P-velur, Tamil Nadu-638 182, India.
author
Somasundaram
Parimala
Research Scholar (Part Time), Department of Mathematics, Kandaswami Kandar's College, P-velur, Tamil Nadu-638 182, India.
author
text
article
2017
eng
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.
Sahand Communications in Mathematical Analysis
University of Maragheh
2322-5807
06
v.
1
no.
2017
29
37
https://scma.maragheh.ac.ir/article_23649_83ca0155b8a1e0d756e5be1c689630fe.pdf
dx.doi.org/10.22130/scma.2017.23649
Fixed point results in cone metric spaces endowed with a graph
Kamal
Fallahi
Department of Mathematics, Payame Noor University, P.O. Box 19395-3697, Tehran, Iran.
author
Ghasem
Soleimani Rad
Department of Mathematics, Payame Noor University, P.O. Box 19395-3697, Tehran, Iran.
author
text
article
2017
eng
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.
Sahand Communications in Mathematical Analysis
University of Maragheh
2322-5807
06
v.
1
no.
2017
39
47
https://scma.maragheh.ac.ir/article_23163_0b45f04bdebc0d3a7cfa6e52d1e52803.pdf
dx.doi.org/10.22130/scma.2017.23163
Approximation of fixed points for a continuous representation of nonexpansive mappings in Hilbert spaces
Ebrahim
Soori
Department of Mathematics, Lorestan University, P.O. Box 465, Khoramabad, Lorestan, Iran.
author
text
article
2017
eng
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.
Sahand Communications in Mathematical Analysis
University of Maragheh
2322-5807
06
v.
1
no.
2017
49
68
https://scma.maragheh.ac.ir/article_22988_6164b5942bd9d9914849f5c337fac6fa.pdf
dx.doi.org/10.22130/scma.2017.22988
The analytical solutions for Volterra integro-differential equations within Local fractional operators by Yang-Laplace transform
Hassan Kamil
Jassim
Department of Mathematics, Faculty of Education for Pure Sciences, University of Thi-Qar, Nasiriyah, Iraq.
author
text
article
2017
eng
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.
Sahand Communications in Mathematical Analysis
University of Maragheh
2322-5807
06
v.
1
no.
2017
69
76
https://scma.maragheh.ac.ir/article_23686_f3ebd1266c52fc8a3318ef0f1567e9cc.pdf
dx.doi.org/10.22130/scma.2017.23686
A generalization of Kannan and Chatterjea fixed point theorems on complete $b$-metric spaces
Hamid
Faraji
Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, Iran.
author
Kourosh
Nourouzi
Faculty of Mathematics, K. N. Toosi University of Technology, P.O. Box 16315-1618, Tehran, Iran.
author
text
article
2017
eng
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.
Sahand Communications in Mathematical Analysis
University of Maragheh
2322-5807
06
v.
1
no.
2017
77
86
https://scma.maragheh.ac.ir/article_23831_6c258f4180145f5370b887cf815cd897.pdf
dx.doi.org/10.22130/scma.2017.23831