A.I.A University Publishing Group.Mathematical Analysis and its Contemporary Applications2716-98903320210901On various types of compatible Jungck--Rhoades pairs of mappings in C*-algebra valued metric spaces12568327810.30495/maca.2021.1932335.1014ENParveenKumarDepartment of Mathematics, Deenbandhu Chhotu Ram University of Science
and Technology, Murthal, Sonipat 131039, Haryana, India.NicolaFabianoVinča Institute of Nuclear Sciences - National Institute of the Republic of Serbia, University of Belgrade, Mike Petrovića
Alasa 12--14, 11351 Belgrade, Serbia0000-0003-1645-2071LjiljanaPaunovicTeacher Education Faculty, University in Pri\v{s}tina-Kosovska Mitrovica,
Nemanjina bb, 38218 Leposavic, Serbia0000-0002-5449-9367Journal Article20210603In this paper, among other things, we have established four different types of compatible mappings that work in the context of C*-algebra valued metric spaces. The obtained types of mappings generalize from previously known ones within ordinary metric spaces. We have shown by examples that these types of mappings are really different. They can be used to consider new fixed point results which were done in the paper for the case of common fixed points of some mappings. The results in this paper generalize, extend, unify, enrich and complement many known results in the existing literature.A.I.A University Publishing Group.Mathematical Analysis and its Contemporary Applications2716-98903320210901A new version of the Hahn Banach theorem in b-Banach spaces273268327710.30495/maca.2021.1929965.1011ENMohammad RezaHaddadiDepartment of Mathematics, Ayatollah Boroujerdi University, Boroujerd, IranHosseinAlaeidizajiDepartment of Mathematics, Payame Noor University, P.O. Box. 19395-3697, Tehran, IranVahidParvanehDepartment of Mathematics, Gilan-E-Gharb Branch, Islamic Azad University, Gilan-E-Gharb, IranJournal Article20210507In this paper, we introduce the notion of b-Banach spaces and we present some examples. Also, we give an important extension of the Hahn-Banach theorem in a $b$-Banach space with an application.A.I.A University Publishing Group.Mathematical Analysis and its Contemporary Applications2716-98903320210901On Palais method in b-metric like spaces333868358110.30495/maca.2021.1932449.1015ENNikolaMirkovUniversity of Belgrade, Vinca'Institute of Nuclear Sciences - National Institute of the Republic of Serbia, Mike Petrovica Alasa 12--14, 11351 Belgrade, Republic of SerbiaZoran D.MitrovicThe University of Banja Luka, Faculty of Electrical Engineering, Patre 5, 78000 Banja Luka, Bosnia and HerzegovinaMudasirYounisDepartment of Mathematics, Jammu Kashmir Institute of Mathematical Sciences, Srinagar, J and K, India0000-0001-5499-4272StjanRadenovicUniversity of Belgrade, Faculty of Mechanical Engineering, Kraljice Marije 16, 11120 Belgrade, Republic of SerbiaJournal Article20210604This paper aims to prove that the Lipschitz constant in the Banach contraction principle belongs to the whole interval [0, 1) for all the six classes of spaces viz. metric spaces, b-metric spaces, partial metric spaces, partial b-metric spaces, metric like space, and finally for more general spaces called b-metric like spaces. For the proof, the idea of Palais is used and applied in a more general setting. However, the current approach is a bit more general, because the present result is applied to spaces, where the condition d(x, y) = 0 yields x = y but not conversely. Accordingly, the outcome of the paper sums up, complements and binds together known results available in the current research literature.A.I.A University Publishing Group.Mathematical Analysis and its Contemporary Applications2716-98903320210901On quasi hemi-slant submanifolds of LP-cosymplectic manifolds394968453610.30495/maca.2021.1934998.1016ENSiddeshaM SDepartment of Mathematics, Jain (Deemed-to-be University)
Bengaluru, Karnataka, IndiaPraveenaM M2Department of Mathematics, M.S. Ramaiah Institute of Technology, Bangalore-54, Affiliated to VTU, Belagavi, Karnataka, IndiaBagewadiC SDepartment of Mathematics, Kuvempu University, Shankaraghatta- 577 451, Shimoga, Karnataka, IndiaJournal Article20210706In this paper, we define and study quasi Hemi-slant submanifolds of Lorentzian almost contact metric manifolds. We mainly concern with quasi Hemi-slant submanifolds of LP-cosymplectic manifolds. First, we find conditions for integrability of distributions involved in the definition of quasi hemislant submanifolds of LP-cosymplectic manifolds. Further, we investigate the necessary and sufficient conditions for quasi Hemi-slant submanifolds of LP-cosymplectic manifolds to be totally geodesic and geometry of foliations are determined.A.I.A University Publishing Group.Mathematical Analysis and its Contemporary Applications2716-98903320210901Some approximations for an equation in modular spaces516468453710.30495/maca.2021.1935651.1018ENMehdi SalehiBaroughDepartment of Medical Radiation Engineering, Centetal Tehran Branch, Islamic Azad University,Tehran,Iran000-0002-5680-0002Journal Article20210515In this paper, we introduce and obtain the general solution of a new mixed type quadratic-cubic functional equation. We investigate the stability of such functional equations in the modular space $X_rho$ by applying $Delta_2$-condition and the Fatou property (in some results) in the modular function $rho$.A.I.A University Publishing Group.Mathematical Analysis and its Contemporary Applications2716-98903320210901Controlled g-frames in Hilbert C*-modules658268492910.30495/maca.2021.1937063.1023ENNabin KumarSahuDhirubhai Ambani Institute of Information and Communication Technology, Gandhinagar, IndiaJournal Article20210803The controlled frame was introduced in 2010 by Balazs et al. [2], with the aim to improve the efficiency of the iterative algorithms constructed for inverting the frame operator. In this paper, the concept of controlled g-frames is introduced in Hilbert C*-modules. The equivalent condition for a controlled g-frame is established using the operator theoretic approach. Some characterizations of controlled g-frames and controlled g-Bessel sequences are found out. Moreover, the relationship between g-frames and controlled g-frames are established. In the end, some perturbation results on controlled g-frames are proved.