@article {
author = {Mousavi, Mohammad},
title = {Intuitionistic fuzzy stability of the heptic functional equation},
journal = {Mathematical Analysis and its Contemporary Applications},
volume = {3},
number = {2},
pages = {1-14},
year = {2021},
publisher = {A.I.A University Publishing Group.},
issn = {2716-9890},
eissn = {2716-9898},
doi = {10.30495/maca.2021.1926769.1006},
abstract = {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.},
keywords = {Heptic functional equation,Hyers-Ulam stability,Intuitionistic fuzzy normed space},
url = {http://www.macajournal.com/article_682027.html},
eprint = {http://www.macajournal.com/article_682027_ada5db04b909f29eceb5cb38b01079cf.pdf}
}
@article {
author = {Oustad, Kobra},
title = {On character amenability of weighted convolution algebras on certain semigroups},
journal = {Mathematical Analysis and its Contemporary Applications},
volume = {3},
number = {2},
pages = {15-26},
year = {2021},
publisher = {A.I.A University Publishing Group.},
issn = {2716-9890},
eissn = {2716-9898},
doi = {10.30495/maca.2021.1928647.1007},
abstract = {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.},
keywords = {Character amenability,Rees matrix semigroup,Weighted Rees matrix semigroup algebra,Clifford semigroup},
url = {http://www.macajournal.com/article_682819.html},
eprint = {http://www.macajournal.com/article_682819_94981018730a45952305489b3d587939.pdf}
}
@article {
author = {Javed, Khalil and Uddin, Fahim and Adeel, Faizan and Arshad, Muhammad and Alaeidizaji, Hossein and Parvaneh, Vahid},
title = {Fixed point results for generalized contractions in S-metric spaces},
journal = {Mathematical Analysis and its Contemporary Applications},
volume = {3},
number = {2},
pages = {27-39},
year = {2021},
publisher = {A.I.A University Publishing Group.},
issn = {2716-9890},
eissn = {2716-9898},
doi = {10.30495/maca.2021.1929557.1009},
abstract = {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.},
keywords = {fixed point,generalized contraction,S-metric space},
url = {http://www.macajournal.com/article_682825.html},
eprint = {http://www.macajournal.com/article_682825_992098c78b024558a576514a7c4fd72b.pdf}
}
@article {
author = {Fadakar, Laya and Işık, Huseyin and Tavakoli, Shirin and Mardzad, Arezo},
title = {Some coupled coincidence point results in partially ordered metric spaces},
journal = {Mathematical Analysis and its Contemporary Applications},
volume = {3},
number = {2},
pages = {40-54},
year = {2021},
publisher = {A.I.A University Publishing Group.},
issn = {2716-9890},
eissn = {2716-9898},
doi = {10.30495/maca.2021.1929674.1010},
abstract = {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.},
keywords = {Coupled coincidence point,Partially ordered set,partial metric space,Mixed monotone property,Compatible mapping},
url = {http://www.macajournal.com/article_682831.html},
eprint = {http://www.macajournal.com/article_682831_bb4ebcae2b6bb66b076bb041df7b105d.pdf}
}
@article {
author = {Rashid, Maliha and Bibi, Rabia and George, Reny and Mitrovic, Zoran},
title = {The coincidence point results and rational contractions in E(s)-distance spaces},
journal = {Mathematical Analysis and its Contemporary Applications},
volume = {3},
number = {2},
pages = {55-67},
year = {2021},
publisher = {A.I.A University Publishing Group.},
issn = {2716-9890},
eissn = {2716-9898},
doi = {10.30495/maca.2021.1931683.1012},
abstract = {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.},
keywords = {E-distance space,E(s)-distance space,coincidence point,fixed point, rational contraction},
url = {http://www.macajournal.com/article_682834.html},
eprint = {http://www.macajournal.com/article_682834_f046d46b9f30a1df6b2e8d964c8032db.pdf}
}
@article {
author = {Abolfathi, Mohammad and Mewomo, Oluwatosin Temitope},
title = {Biﬂatness of Banach algebras modulo an ideal},
journal = {Mathematical Analysis and its Contemporary Applications},
volume = {3},
number = {2},
pages = {68-74},
year = {2021},
publisher = {A.I.A University Publishing Group.},
issn = {2716-9890},
eissn = {2716-9898},
doi = {10.30495/maca.2021.1932071.1013},
abstract = {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},
keywords = {amenability,Amenability modulo an ideal,biﬂatness modulo an ideal,biprojectivity modulo and ideal},
url = {http://www.macajournal.com/article_682838.html},
eprint = {http://www.macajournal.com/article_682838_83a8a11a66143db0a472eefc460fd4a6.pdf}
}