RGNNA Publishing Group.Mathematical Analysis and its Contemporary Applications2716-98984220220401Some critical remarks of recent results on F-contractions in b-metric spaces11068918710.30495/maca.2022.1948245.1043ENMudasirYounisDepartment of Applied Mathematics, Jammu Kashmir Institute of Mathematical Sciences (An Institute of Higher Excellence), Srinagar-190008, J & K, India0000-0001-5499-4272NicolaFabianoVinča Institute of Nuclear Sciences - National Institute of the Republic of Serbia, University of Belgrade, Mike Petrovića
Alasa 12--14, 11351 Belgrade, Serbia0000-0003-1645-2071MirjanaPantovicUniversity of Kragujevac, Faculty of Science, Department of Mathematics and Informatics, Radoja Domanovica 12, 34 000 Kragujevac, SerbiaStojanRadenovicFaculty of Mechanical Engineering, University of Belgrade,
Kraljice Marije 16, 11 120 Beograd 35, SerbiaJournal Article20211226In this paper, we analyze, generalize and correct some recent results on F-contractions within b-metric spaces. In all results, our only assumption is the strict growth of the function F: $\left( 0,+\infty \right) \rightarrow \left( -\infty ,+\infty \right) .$https://www.macajournal.com/article_689187_9d22912679f3ee40481df36982ad5f00.pdfRGNNA Publishing Group.Mathematical Analysis and its Contemporary Applications2716-98984220220401Automatic continuity of almost Jordan derivations on special Jordan Banach algebras111668840610.30495/maca.2022.1946498.1040ENGanesa MoorthyChinnaduraiDepartment of Mathematics, Alagappa University, Karaikudi-630 003, IndiaSivaGurusamyDepartment of Mathematics, Alagappa University, Karaikudi-630 003, IndiaJournal Article20211206The following is the question form of Kaplansky conjecture of 1958. Is every derivation on semisimple Banach algebra continuous? Kaplansky conjecture was proved by Johnson and Sinclair in 1968. The concept of almost Jordan derivations on Jordan Banach algebras is introduced in this article. Also, Kaplansky conjecture is extended to Jordan Banach algebras as an open question: Is every almost Jordan derivations on semisimple Jordan Banach algebras continuous?. Moreover, a partial answer to this open question is derived in the sense that every almost Jordan derivation $T$ on semisimple special Jordan Banach algebras $\Omega^{+}$, with an additional condition on $\Omega^{+}$, is continuous.https://www.macajournal.com/article_688406_891d409d3421921081a3ca6e77046d55.pdfRGNNA Publishing Group.Mathematical Analysis and its Contemporary Applications2716-98984220220401t-norms over fuzzy ideals (implicative, positive implicative) of BCK-algebras173468698210.30495/maca.2021.1942817.1034ENRasulRasuliDepartment of Mathematics, Payame Noor University, Tehran, Iran.Journal Article20211017In this paper, we use the notion of t-norms to introduce fuzzy subalgebras, fuzzy ideals, fuzzy implicative ideals, fuzzy positive implicative ideals in BCK-algebras. Next, we clarify the links between them and investigate their properties. Finally, we consider them under intersection, cartesian product and homomorphisms(image and pre image) and we study related properties.https://www.macajournal.com/article_686982_fc6c8fb4892255ba0c2a9fba6a36f5dc.pdfRGNNA Publishing Group.Mathematical Analysis and its Contemporary Applications2716-98984220220401Exact controllability and continuous dependence of solution of a conformable fractional control system354668892210.30495/maca.2022.1947815.1042ENSanjuktaDasEcole Centrale School of Engineering, Mahindra University, IndiaJournal Article20211221The exact controllability of a conformable fractional differential system is established in this paper. The system is described by a non-densely defined linear part satisfying the Hille Yosida condition, and a control term appearing in the nonlinear part. The existence of mild solution and exact controllability is proved by Banach fixed point theorem for the system with non-local conditions and deviated argument. The continuous dependence of the mild solution is also studied. An example is discussed to illustrate the results.https://www.macajournal.com/article_688922_dc1847ed54b8bae4bc82b1be705e9e18.pdfRGNNA Publishing Group.Mathematical Analysis and its Contemporary Applications2716-98984220220401Notes on the stability of multimixed additive-quartic mappings475668918810.30495/maca.2022.1949403.1045ENYousefEbrahimdoostDepartment of Mathematics, Islamshahr Branch, Islamic Azad University, Islamshahr,
IranJournal Article20211109In this article, we prove the Hyers-Ulam stability of multimixed additive-quartic functional equations in the setting of Banach spaces by applying a fixed point method and moreover we generalize some known results.https://www.macajournal.com/article_689188_d90cae5ee607fec35d77e9da0b6abac3.pdfRGNNA Publishing Group.Mathematical Analysis and its Contemporary Applications2716-98984220220401Fixed point theorems for occasionally weakly compatible maps in neutrosophic metric spaces576968874910.30495/maca.2022.1943366.1035ENJeyaramanMathuraiveeranPG and Research Department of Mathematics, Raja Doraisingam Govt. Arts College, Sivagangai,
Affiliated to Alagappa University, Karaikudi, Tamil Nadu, Indiahttps://orcid.org/0A.N.MangayarkkarasiGovernment Arts College for Women, Sivagangai, Affiliated to Alagappa University, Karaikudi, Tamilnadu, IndiaDepartment of Mathematics, Nachiappa Swamigal Arts and Science College, Karaikudi, Affiliated to Alagappa University, Karaikudi, Tamilnadu, IndiaJournal Article20211025In 2008, Al-Thagafi and Shahzad introduced the notion of Occasionally Weakly Compatible mappings (shortly OWC maps) which is more general than all the commutativity concepts. The purpose of the paper is to obtain common fixed point theorems in Neutrosophic metric spaces by using OWC maps.https://www.macajournal.com/article_688749_2acbbb7e5407aaeac8f1adab7037b75f.pdf