2021
3
3
0
82
1

On various types of compatible JungckRhoades pairs of mappings in C*algebra valued metric spaces
http://www.macajournal.com/article_683278.html
10.30495/maca.2021.1932335.1014
1
In 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.
0

1
25


Parveen
Kumar
Department of Mathematics, Deenbandhu Chhotu Ram University of Science
and Technology, Murthal, Sonipat 131039, Haryana, India.
India
parveenyuvi@gmail.com


Nicola
Fabiano
Vinča Institute of Nuclear Sciences  National Institute of the Republic of Serbia, University of Belgrade, Mike Petrovića
Alasa 1214, 11351 Belgrade, Serbia
Serbia
nicola.fabiano@gmail.com


Ljiljana
Paunovic
Teacher Education Faculty, University in Priv{s}tinaKosovska Mitrovica,
Nemanjina bb, 38218 Leposavic, Serbia
Serbia
ljiljana.paunovic@pr.ac.rs
C* algebra valued metric Space
Compatible mapping
fixed point
1

A new version of the Hahn Banach theorem in bBanach spaces
http://www.macajournal.com/article_683277.html
10.30495/maca.2021.1929965.1011
1
In this paper, we introduce the notion of bBanach spaces and we present some examples. Also, we give an important extension of the HahnBanach theorem in a $b$Banach space with an application.
0

27
32


Mohammad Reza
Haddadi
Department of Mathematics, Ayatollah Boroujerdi University, Boroujerd, Iran
Iran
haddadi@abru.ac.ir


Hossein
Alaeidizaji
Department of Mathematics, Payame Noor University, P.O. Box. 193953697, Tehran, Iran
Iran
alaeidizaj.hossein@gmail.com


Vahid
Parvaneh
Department of Mathematics, GilanEGharb Branch, Islamic Azad University, GilanEGharb, Iran
Iran
zam.dalahoo@gmail.com
bnormed space, bBanach Space
HahnBanach theorem
1

On Palais method in bmetric like spaces
http://www.macajournal.com/article_683581.html
10.30495/maca.2021.1932449.1015
1
This 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, bmetric spaces, partial metric spaces, partial bmetric spaces, metric like space, and finally for more general spaces called bmetric 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.
0

33
38


Nikola
Mirkov
University of Belgrade, Vinca'Institute of Nuclear Sciences  National Institute of the Republic of Serbia, Mike Petrovica Alasa 1214, 11351 Belgrade, Republic of Serbia
Serbia
nmirkov@vin.bg.ac.rs


Zoran
Mitrovic
The University of Banja Luka, Faculty of Electrical Engineering, Patre 5, 78000 Banja Luka, Bosnia and Herzegovina
Bosnia & Herzegowina
zoran.mitrovic@etf.unibl.org


Mudasir
Younis
Department of Mathematics, Jammu Kashmir Institute of Mathematical Sciences, Srinagar, J and K, India
India
mudasiryouniscuk@gmail.com


Stjan
Radenovic
University of Belgrade, Faculty of Mechanical Engineering, Kraljice Marije 16, 11120 Belgrade, Republic of Serbia
Serbia
radens@beotel.net
Palais method
Banach contraction principle
fixed point
1

On quasi hemislant submanifolds of LPcosymplectic manifolds
http://www.macajournal.com/article_684536.html
10.30495/maca.2021.1934998.1016
1
In this paper, we define and study quasi Hemislant submanifolds of Lorentzian almost contact metric manifolds. We mainly concern with quasi Hemislant submanifolds of LPcosymplectic manifolds. First, we find conditions for integrability of distributions involved in the definition of quasi hemislant submanifolds of LPcosymplectic manifolds. Further, we investigate the necessary and sufficient conditions for quasi Hemislant submanifolds of LPcosymplectic manifolds to be totally geodesic and geometry of foliations are determined.
0

39
49


Siddesha
M S
Department of Mathematics, Jain (Deemedtobe University)
Bengaluru, Karnataka, India
India
mssiddesha@gmail.com


Praveena
M M
2Department of Mathematics, M.S. Ramaiah Institute of Technology, Bangalore54, Affiliated to VTU, Belagavi, Karnataka, India
India
mmpraveenamaths@gmail.com


Bagewadi
C S
Department of Mathematics, Kuvempu University, Shankaraghatta 577 451, Shimoga, Karnataka, India
India
prof_bagewadi@yahoo.co.in
Slant submanifold
quasi hemislant submanifold and LPcosymplectic manifold
1

Some approximations for an equation in modular spaces
http://www.macajournal.com/article_684537.html
10.30495/maca.2021.1935651.1018
1
In this paper, we introduce and obtain the general solution of a new mixed type quadraticcubic 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 $rho$.
0

51
64


Mehdi
Barough
Department of Medical Radiation Engineering, Centetal Tehran Branch, Islamic Azad University,Tehran,Iran
Iran
m.s.barough@gmail.com
HyersUlam stability
modular space
Quadraticcubic functional equation
1

Controlled gframes in Hilbert C*modules
http://www.macajournal.com/article_684929.html
10.30495/maca.2021.1937063.1023
1
The 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 gframes is introduced in Hilbert C*modules. The equivalent condition for a controlled gframe is established using the operator theoretic approach. Some characterizations of controlled gframes and controlled gBessel sequences are found out. Moreover, the relationship between gframes and controlled gframes are established. In the end, some perturbation results on controlled gframes are proved.
0

65
82


Nabin
Sahu
Dhirubhai Ambani Institute of Information and Communication Technology, Gandhinagar, India
India
nabinkumar_sahu@daiict.ac.in
Frame
gframe
Hilbert C*module