ORIGINAL_ARTICLE
Intuitionistic fuzzy stability of the heptic functional equation
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.
http://www.macajournal.com/article_682027_ada5db04b909f29eceb5cb38b01079cf.pdf
2021-06-01
1
14
10.30495/maca.2021.1926769.1006
Heptic functional equation
Hyers-Ulam stability
Intuitionistic fuzzy normed space
Mohammad
Mousavi
mshafieemousavi@azad.ac.ir
1
Department of Mathematics, South Tehran Branch, Islamic Azad University, Tehran, Iran
LEAD_AUTHOR
ORIGINAL_ARTICLE
On character amenability of weighted convolution algebras on certain semigroups
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 $ x\in 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.
http://www.macajournal.com/article_682819_94981018730a45952305489b3d587939.pdf
2021-06-01
15
26
10.30495/maca.2021.1928647.1007
Character amenability
Rees matrix semigroup
Weighted Rees matrix semigroup algebra
Clifford semigroup
Kobra
Oustad
kobra.ostad@gmail.com
1
Department of Mathematics, Dehdasht Branch, Islamic Azad University, Dehdasht, Iran
LEAD_AUTHOR
ORIGINAL_ARTICLE
Fixed point results for generalized contractions in S-metric spaces
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.
http://www.macajournal.com/article_682825_992098c78b024558a576514a7c4fd72b.pdf
2021-06-01
27
39
10.30495/maca.2021.1929557.1009
fixed point
generalized contraction
S-metric space
Khalil
Javed
khaliljaved15@gmail.com
1
Department of Mathematics and Statistics, International Islamic University, Islamabad, Pakistan
LEAD_AUTHOR
Fahim
Uddin
fahamiiu@gmail.com
2
Department of Mathematics and Statistics, International Islamic University, Islamabad, Pakistan
AUTHOR
Faizan
Adeel
faizan.mscma@gmail.com
3
Department of Mathematics and Statistics, International Islamic University, Islamabad, Pakistan
AUTHOR
Muhammad
Arshad
marshadzia@iiu.edu.pk
4
Department of Mathematics and Statistics, International Islamic University, Islamabad, Pakistan
AUTHOR
Hossein
Alaeidizaji
alaeidizaj.hossein@gmail.com
5
Department of Mathematics, Payame Noor University, Tehran, Iran
AUTHOR
Vahid
Parvaneh
zam.dalahoo@gmail.com
6
Department of Mathematics, Gilan-E-Gharb Branch, Islamic Azad University, Gilan-E-Gharb, Iran
AUTHOR
ORIGINAL_ARTICLE
Some coupled coincidence point results in partially ordered metric spaces
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 presented herein.
http://www.macajournal.com/article_682831_bb4ebcae2b6bb66b076bb041df7b105d.pdf
2021-06-01
40
54
10.30495/maca.2021.1929674.1010
Coupled coincidence point
Partially ordered set
partial metric space
Mixed monotone property
Compatible mapping
Laya
Fadakar
layafadakr1364@gmail.com
1
Department of Mathematics, Ardabil Branch, Islamic Azad
University, Ardabil, Iran
AUTHOR
Huseyin
Işık
isikhuseyin76@gmail.com
2
Department of Engineering Science, Bandırma Onyedi Eylul University, 10200, Bandırma, Balıkesir, Turkey
LEAD_AUTHOR
Shirin
Tavakoli
shirintavakoli65@gmail.com
3
Department of Mathematics, Ardabil Branch, Islamic Azad University, Ardabil, Iran
AUTHOR
Arezo
Mardzad
arezomardzad@gmail.com
4
Department of Mathematics, Ardabil Branch, Islamic Azad University, Ardabil, Iran
AUTHOR
ORIGINAL_ARTICLE
The coincidence point results and rational contractions in E(s)-distance spaces
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.
http://www.macajournal.com/article_682834_f046d46b9f30a1df6b2e8d964c8032db.pdf
2021-06-01
55
67
10.30495/maca.2021.1931683.1012
E-distance space
E(s)-distance space
coincidence point
fixed point, rational contraction
Maliha
Rashid
maliha.rashid@iiu.edu.pk
1
Department of Mathematics and Statistics, International Islamic University, 44000 Islamabad, Pakistan
AUTHOR
Rabia
Bibi
rabi10907@gmail.com
2
Department of Mathematics and Statistics, International Islamic University, 44000 Islamabad, Pakistan
AUTHOR
Reny
George
r.kunnelchacko@psau.edu.sa
3
Department of Mathematics, College of Science and Humanities in Al-Kharj, Prince Sattam bin Abdulaziz University, Al-Kharj 11942, Saudi Arabia
AUTHOR
Zoran
Mitrovic
zoran.mitrovic@etf.unibl.org
4
University of Banja Luka, Faculty of Electrical Engineering, Patre 5, 78000 Banja Luka, Bosnia and Herzegovina
LEAD_AUTHOR
ORIGINAL_ARTICLE
Biﬂatness of Banach algebras modulo an ideal
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
http://www.macajournal.com/article_682838_83a8a11a66143db0a472eefc460fd4a6.pdf
2021-06-01
68
74
10.30495/maca.2021.1932071.1013
amenability
Amenability modulo an ideal
biﬂatness modulo an ideal
biprojectivity modulo and ideal
Mohammad
Abolfathi
m.abolfathi@urmia.ac.ir
1
Department of Mathematics, Faculty of Science, Urmia University, Urmia, Iran
LEAD_AUTHOR
Oluwatosin Temitope
Mewomo
mewomoo@ukzn.ac.za
2
School of Mathematics, Statistics and Computer Science, University of KwaZulu-Natal, Durban, South Africa
AUTHOR