2021
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Intuitionistic fuzzy stability of the heptic functional equation
http://www.macajournal.com/article_682027.html
10.30495/maca.2021.1926769.1006
1
In this article, by using a fixed point method, we establish the intuitionistic fuzzy version of HyersUlam 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.
0

1
14


Mohammad
Mousavi
Department of Mathematics, South Tehran Branch, Islamic Azad University, Tehran,
Iran
Iran
mshafieemousavi@azad.ac.ir
Heptic functional equation
HyersUlam stability
Intuitionistic fuzzy normed space
1

On character amenability of weighted convolution algebras on certain semigroups
http://www.macajournal.com/article_682819.html
10.30495/maca.2021.1928647.1007
1
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.
0

15
26


Kobra
Oustad
Department of Mathematics, Dehdasht Branch, Islamic Azad University, Dehdasht, Iran
Iran
kobra.ostad@gmail.com
Character amenability
Rees matrix semigroup
Weighted Rees matrix semigroup algebra
Clifford semigroup
1

Fixed point results for generalized contractions in Smetric spaces
http://www.macajournal.com/article_682825.html
10.30495/maca.2021.1929557.1009
1
In this paper, we discuss the existence of a fixed point for a generalized contraction in Smetric spaces. We furnish some examples in support of our main results. Our results generalize and improve many wellknown results in the existing literature.
0

27
39


Khalil
Javed
Department of Mathematics and Statistics, International Islamic University, Islamabad, Pakistan
Pakistan
khaliljaved15@gmail.com


Fahim
Uddin
Department of Mathematics and Statistics, International Islamic University, Islamabad, Pakistan
Pakistan
fahamiiu@gmail.com


Faizan
Adeel
Department of Mathematics and Statistics, International Islamic University, Islamabad, Pakistan
Pakistan
faizan.mscma@gmail.com


Muhammad
Arshad
Department of Mathematics and Statistics, International Islamic University, Islamabad, Pakistan
Pakistan
marshadzia@iiu.edu.pk


Hossein
Alaeidizaji
Department of Mathematics, Payame Noor University, Tehran, Iran
Iran
alaeidizaj.hossein@gmail.com


Vahid
Parvaneh
Department of Mathematics, GilanEGharb Branch, Islamic Azad University, GilanEGharb, Iran
Iran
zam.dalahoo@gmail.com
fixed point
generalized contraction
Smetric space
1

Some coupled coincidence point results in partially ordered metric spaces
http://www.macajournal.com/article_682831.html
10.30495/maca.2021.1929674.1010
1
In this paper, we introduce the notion of partialcompatibility 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(34) (2012), 680687]. We also provide an example to illustrate the results presented herein.
0

40
54


Laya
Fadakar
Department of Mathematics, Ardabil Branch, Islamic Azad
University, Ardabil, Iran
Turkey
layafadakr1364@gmail.com


Huseyin
Işık
Department of Engineering Science, Bandırma Onyedi Eylul University, 10200, Bandırma, Balıkesir, Turkey
Turkey
isikhuseyin76@gmail.com


Shirin
Tavakoli
Department of Mathematics, Ardabil Branch, Islamic Azad University, Ardabil, Iran
Iran
shirintavakoli65@gmail.com


Arezo
Mardzad
Department of Mathematics, Ardabil Branch, Islamic Azad University, Ardabil, Iran
Iran
arezomardzad@gmail.com
Coupled coincidence point
Partially ordered set
partial metric space
Mixed monotone property
Compatible mapping
1

The coincidence point results and rational contractions in E(s)distance spaces
http://www.macajournal.com/article_682834.html
10.30495/maca.2021.1931683.1012
1
The purpose of this article is to clarify the concept of semiinterior 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.
0

55
67


Maliha
Rashid
Department of Mathematics and Statistics, International Islamic University, 44000 Islamabad, Pakistan
Pakistan
maliha.rashid@iiu.edu.pk


Rabia
Bibi
Department of Mathematics and Statistics, International Islamic University, 44000 Islamabad, Pakistan
Pakistan
rabi10907@gmail.com


Reny
George
Department of Mathematics, College of Science and Humanities in AlKharj, Prince Sattam bin Abdulaziz University, AlKharj 11942, Saudi Arabia
India
r.kunnelchacko@psau.edu.sa


Zoran
Mitrovic
University of Banja Luka, Faculty of Electrical Engineering, Patre 5, 78000 Banja Luka, Bosnia and Herzegovina
Bosnia & Herzegowina
zoran.mitrovic@etf.unibl.org
Edistance space
E(s)distance space
coincidence point
fixed point, rational contraction
1

Biﬂatness of Banach algebras modulo an ideal
http://www.macajournal.com/article_682838.html
10.30495/maca.2021.1932071.1013
1
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
0

68
74


Mohammad
Abolfathi
Department of Mathematics, Faculty of Science, Urmia University, Urmia, Iran
Iran
m.abolfathi@urmia.ac.ir


Oluwatosin Temitope
Mewomo
School of Mathematics, Statistics and Computer Science, University of KwaZuluNatal, Durban, South Africa
South Africa
mewomoo@ukzn.ac.za
amenability
Amenability modulo an ideal
biﬂatness modulo an ideal
biprojectivity modulo and ideal