A.I.A University Publishing Group.Mathematical Analysis and its Contemporary Applications2716-98903220210601Intuitionistic fuzzy stability of the heptic functional equation11468202710.30495/maca.2021.1926769.1006ENMohammad ShafiiMousaviDepartment of Mathematics, South Tehran Branch, Islamic Azad University, Tehran,
IranJournal Article20210413In 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.A.I.A University Publishing Group.Mathematical Analysis and its Contemporary Applications2716-98903220210601On character amenability of weighted convolution algebras on certain semigroups152668281910.30495/maca.2021.1928647.1007ENKobraOustadDepartment of Mathematics, Dehdasht Branch, Islamic Azad University, Dehdasht, IranJournal Article20210425In 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.A.I.A University Publishing Group.Mathematical Analysis and its Contemporary Applications2716-98903220210601Fixed point results for generalized contractions in S-metric spaces273968282510.30495/maca.2021.1929557.1009ENKhalilJavedDepartment of Mathematics and Statistics, International Islamic University, Islamabad, PakistanFahimUddinDepartment of Mathematics and Statistics, International Islamic University, Islamabad, PakistanFaizanAdeelDepartment of Mathematics and Statistics, International Islamic University, Islamabad, PakistanMuhammadArshadDepartment of Mathematics and Statistics, International Islamic University, Islamabad, PakistanHosseinAlaeidizajiDepartment of Mathematics, Payame Noor University, Tehran, IranVahidParvanehDepartment of Mathematics, Gilan-E-Gharb Branch, Islamic Azad University, Gilan-E-Gharb, IranJournal Article20210414In 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.A.I.A University Publishing Group.Mathematical Analysis and its Contemporary Applications2716-98903220210601Some coupled coincidence point results in partially ordered metric spaces405468283110.30495/maca.2021.1929674.1010ENLayaFadakarDepartment of Mathematics, Ardabil Branch, Islamic Azad
University, Ardabil, IranHuseyinIşıkDepartment of Engineering Science, Bandırma Onyedi Eylul University, 10200, Bandırma, Balıkesir, TurkeyShirinTavakoliDepartment of Mathematics, Ardabil Branch, Islamic Azad University, Ardabil, IranArezoMardzadDepartment of Mathematics, Ardabil Branch, Islamic Azad University, Ardabil, IranJournal Article20210504In 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.A.I.A University Publishing Group.Mathematical Analysis and its Contemporary Applications2716-98903220210601The coincidence point results and rational contractions in E(s)-distance spaces556768283410.30495/maca.2021.1931683.1012ENMalihaRashidDepartment of Mathematics and Statistics, International Islamic University, 44000 Islamabad, PakistanRabiaBibiDepartment of Mathematics and Statistics, International Islamic University, 44000 Islamabad, PakistanRenyGeorgeDepartment of Mathematics, College of Science and Humanities in Al-Kharj, Prince Sattam bin Abdulaziz University, Al-Kharj 11942, Saudi ArabiaDepartment of Mathematics and Computer Science, St. Thomas College , Bhilai, Chhattisgarh, IndiaZoran D.MitrovicUniversity of Banja Luka, Faculty of Electrical Engineering, Patre 5, 78000 Banja Luka, Bosnia and HerzegovinaJournal Article20210526The 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.A.I.A University Publishing Group.Mathematical Analysis and its Contemporary Applications2716-98903220210601Biﬂatness of Banach algebras modulo an ideal687468283810.30495/maca.2021.1932071.1013ENMohammad AliAbolfathiDepartment of Mathematics, Faculty of Science, Urmia University, Urmia, IranOluwatosin TemitopeMewomoSchool of Mathematics, Statistics and Computer Science, University of KwaZulu-Natal, Durban, South AfricaJournal Article20210531Biﬂatness 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