2022-05-28T21:49:28Z
http://www.macajournal.com/?_action=export&rf=summon&issue=1135559
Mathematical Analysis and its Contemporary Applications
MACA
2716-9890
2716-9890
2021
3
2
Intuitionistic fuzzy stability of the heptic functional equation
Mohammad
Mousavi
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
2021
06
01
1
14
http://www.macajournal.com/article_682027_ada5db04b909f29eceb5cb38b01079cf.pdf
Mathematical Analysis and its Contemporary Applications
MACA
2716-9890
2716-9890
2021
3
2
On character amenability of weighted convolution algebras on certain semigroups
Kobra
Oustad
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.
Character amenability
Rees matrix semigroup
Weighted Rees matrix semigroup algebra
Clifford semigroup
2021
06
01
15
26
http://www.macajournal.com/article_682819_94981018730a45952305489b3d587939.pdf
Mathematical Analysis and its Contemporary Applications
MACA
2716-9890
2716-9890
2021
3
2
Fixed point results for generalized contractions in S-metric spaces
Khalil
Javed
Fahim
Uddin
Faizan
Adeel
Muhammad
Arshad
Hossein
Alaeidizaji
Vahid
Parvaneh
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
2021
06
01
27
39
http://www.macajournal.com/article_682825_992098c78b024558a576514a7c4fd72b.pdf
Mathematical Analysis and its Contemporary Applications
MACA
2716-9890
2716-9890
2021
3
2
Some coupled coincidence point results in partially ordered metric spaces
Laya
Fadakar
Huseyin
Işık
Shirin
Tavakoli
Arezo
Mardzad
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.
Coupled coincidence point
Partially ordered set
partial metric space
Mixed monotone property
Compatible mapping
2021
06
01
40
54
http://www.macajournal.com/article_682831_bb4ebcae2b6bb66b076bb041df7b105d.pdf
Mathematical Analysis and its Contemporary Applications
MACA
2716-9890
2716-9890
2021
3
2
The coincidence point results and rational contractions in E(s)-distance spaces
Maliha
Rashid
Rabia
Bibi
Reny
George
Zoran
Mitrovic
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
2021
06
01
55
67
http://www.macajournal.com/article_682834_f046d46b9f30a1df6b2e8d964c8032db.pdf
Mathematical Analysis and its Contemporary Applications
MACA
2716-9890
2716-9890
2021
3
2
Biﬂatness of Banach algebras modulo an ideal
Mohammad
Abolfathi
Oluwatosin Temitope
Mewomo
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
2021
06
01
68
74
http://www.macajournal.com/article_682838_83a8a11a66143db0a472eefc460fd4a6.pdf