A.I.A University Publishing Group.
Mathematical Analysis and its Contemporary Applications
2716-9890
2716-9898
3
2
2021
06
01
Intuitionistic fuzzy stability of the heptic functional equation
1
14
EN
Mohammad
Shafii
Mousavi
Department of Mathematics, South Tehran Branch, Islamic Azad University, Tehran,
Iran
mshafieemousavi@azad.ac.ir
10.30495/maca.2021.1926769.1006
In this article, by using a fixed point method, we establish the intuitionistic fuzzy version of Hyers-Ulam stability for a heptic functional equation that was introduced by Xu and Rassias. This way shows that the concept of stability is related to some fixed point of a suitable operator.
Heptic functional equation,Hyers-Ulam stability,Intuitionistic fuzzy normed space
http://www.macajournal.com/article_682027.html
http://www.macajournal.com/article_682027_ada5db04b909f29eceb5cb38b01079cf.pdf
A.I.A University Publishing Group.
Mathematical Analysis and its Contemporary Applications
2716-9890
2716-9898
3
2
2021
06
01
On character amenability of weighted convolution algebras on certain semigroups
15
26
EN
Kobra
Oustad
Department of Mathematics, Dehdasht Branch, Islamic Azad University, Dehdasht, Iran
kobra.ostad@gmail.com
10.30495/maca.2021.1928647.1007
In this work, we study the character amenability of weighted convolution algebras $ell^{1} (S,omega)$, where $ S $ is a semigroup of classes of inverse semigroups with a uniformly locally finite idempotent set, inverse semigroups with a finite number of idempotents, Clifford semigroups and Rees matrix semigroups. We show that for inverse semigroup with a finite number of idempotents and any weight $ omega $, $ell^{1} (S,omega)$ is character amenable if each maximal semigroup of $ S $ is amenable. Then for a commutative semigroup $ S $ and $ omega(x)geq 1$, for all $ xin S $. Moreover, we show that character amenability of $ell^{1} (S,omega)$ implies that $ S $ is a Clifford semigroup. Finally, we investigate the character amenability of the weighted convolution algebra $ ell^{1} (S,omega)$, and its second dual for a Rees matrix semigroup.
Character amenability,Rees matrix semigroup,Weighted Rees matrix semigroup algebra,Clifford semigroup
http://www.macajournal.com/article_682819.html
http://www.macajournal.com/article_682819_94981018730a45952305489b3d587939.pdf
A.I.A University Publishing Group.
Mathematical Analysis and its Contemporary Applications
2716-9890
2716-9898
3
2
2021
06
01
Fixed point results for generalized contractions in S-metric spaces
27
39
EN
Khalil
Javed
Department of Mathematics and Statistics, International Islamic University, Islamabad, Pakistan
khaliljaved15@gmail.com
Fahim
Uddin
Department of Mathematics and Statistics, International Islamic University, Islamabad, Pakistan
fahamiiu@gmail.com
Faizan
Adeel
Department of Mathematics and Statistics, International Islamic University, Islamabad, Pakistan
faizan.mscma@gmail.com
Muhammad
Arshad
Department of Mathematics and Statistics, International Islamic University, Islamabad, Pakistan
marshadzia@iiu.edu.pk
Hossein
Alaeidizaji
Department of Mathematics, Payame Noor University, Tehran, Iran
alaeidizaj.hossein@gmail.com
Vahid
Parvaneh
Department of Mathematics, Gilan-E-Gharb Branch, Islamic Azad University, Gilan-E-Gharb, Iran
zam.dalahoo@gmail.com
10.30495/maca.2021.1929557.1009
In this paper, we discuss the existence of a fixed point for a generalized contraction in S-metric spaces. We furnish some examples in support of our main results. Our results generalize and improve many well-known results in the existing literature.
fixed point,generalized contraction,S-metric space
http://www.macajournal.com/article_682825.html
http://www.macajournal.com/article_682825_992098c78b024558a576514a7c4fd72b.pdf
A.I.A University Publishing Group.
Mathematical Analysis and its Contemporary Applications
2716-9890
2716-9898
3
2
2021
06
01
Some coupled coincidence point results in partially ordered metric spaces
40
54
EN
Laya
Fadakar
Department of Mathematics, Ardabil Branch, Islamic Azad
University, Ardabil, Iran
layafadakr1364@gmail.com
Huseyin
Işık
Department of Engineering Science, Bandırma Onyedi Eylul University, 10200, Bandırma, Balıkesir, Turkey
isikhuseyin76@gmail.com
Shirin
Tavakoli
Department of Mathematics, Ardabil Branch, Islamic Azad University, Ardabil, Iran
shirintavakoli65@gmail.com
Arezo
Mardzad
Department of Mathematics, Ardabil Branch, Islamic Azad University, Ardabil, Iran
arezomardzad@gmail.com
10.30495/maca.2021.1929674.1010
In this paper, we introduce the notion of partial-compatibility of mappings in an ordered partial metric space and use this notion to establish coupled coincidence point theorems for $phi$-mixed monotone mappings satisfying a nonlinear contraction condition. Our consequences is an extension of the results of Shatanawi et al. [W. Shatanawi, B. Samet and M. Abbas, textit{Coupled fixed point theorems for mixed monotone mappings in ordered partial metric spaces}, Math. Comp. Model., 55(3-4) (2012), 680-687]. We also provide an example to illustrate the results<br /> presented herein.
Coupled coincidence point,Partially ordered set,partial metric space,Mixed monotone property,Compatible mapping
http://www.macajournal.com/article_682831.html
http://www.macajournal.com/article_682831_bb4ebcae2b6bb66b076bb041df7b105d.pdf
A.I.A University Publishing Group.
Mathematical Analysis and its Contemporary Applications
2716-9890
2716-9898
3
2
2021
06
01
The coincidence point results and rational contractions in E(s)-distance spaces
55
67
EN
Maliha
Rashid
Department of Mathematics and Statistics, International Islamic University, 44000 Islamabad, Pakistan
maliha.rashid@iiu.edu.pk
Rabia
Bibi
Department of Mathematics and Statistics, International Islamic University, 44000 Islamabad, Pakistan
rabi10907@gmail.com
Reny
George
Department of Mathematics, College of Science and Humanities in Al-Kharj, Prince Sattam bin Abdulaziz University, Al-Kharj 11942, Saudi Arabia
r.kunnelchacko@psau.edu.sa
Zoran
D.
Mitrovic
University of Banja Luka, Faculty of Electrical Engineering, Patre 5, 78000 Banja Luka, Bosnia and Herzegovina
zoran.mitrovic@etf.unibl.org
10.30495/maca.2021.1931683.1012
The purpose of this article is to clarify the concept of semi-interior points of positive cones by presenting some results and examples in this context. Moreover, the new concept of E(s)-distance spaces is defined, which generalizes $E$-metric spaces. In addition, some coincidence point results have been obtained that extend and generalize some known results in the literature.
E-distance space,E(s)-distance space,coincidence point,fixed point, rational contraction
http://www.macajournal.com/article_682834.html
http://www.macajournal.com/article_682834_f046d46b9f30a1df6b2e8d964c8032db.pdf
A.I.A University Publishing Group.
Mathematical Analysis and its Contemporary Applications
2716-9890
2716-9898
3
2
2021
06
01
Biﬂatness of Banach algebras modulo an ideal
68
74
EN
Mohammad
Ali
Abolfathi
Department of Mathematics, Faculty of Science, Urmia University, Urmia, Iran
m.abolfathi@urmia.ac.ir
Oluwatosin Temitope
Mewomo
School of Mathematics, Statistics and Computer Science, University of KwaZulu-Natal, Durban, South Africa
mewomoo@ukzn.ac.za
10.30495/maca.2021.1932071.1013
Biﬂatness of Banach algebras is one of the important topics in the study of cohomological properties of Banach algebras. This concept has a close relationship with the amenability of Banach algebras. In this paper, we introduce a new notion namely biﬂatness of Banach algebras modulo closed ideals. Moreover, we deﬁne the concept of virtual diagonal modulo ideals for investigating biﬂatness of Banach algebras modulo closed ideals. We show that biﬂatness of a Banach algebra A modulo I is equivalent to the existence of I -virtual diagonal modulo ideal I. By this result, we show that amenability of A/I implies biﬂatness of A modulo I. Moreover, we investigate the relationship of biﬂatness of the Banach algebra A modulo I with the biﬂatness of A/I . Finally, biﬂatness of Banach algebras modulo closed ideals is weaker than biprojectivity of them modulo closed ideals and provide examples to better understand the content
amenability,Amenability modulo an ideal,biﬂatness modulo an ideal,biprojectivity modulo and ideal
http://www.macajournal.com/article_682838.html
http://www.macajournal.com/article_682838_83a8a11a66143db0a472eefc460fd4a6.pdf