ORIGINAL_ARTICLE
On various types of compatible Jungck--Rhoades pairs of mappings in C*-algebra valued metric spaces
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.
http://www.macajournal.com/article_683278_d31787bbf23845b09c9de981825a75eb.pdf
2021-09-01
1
25
10.30495/maca.2021.1932335.1014
C* -algebra valued metric Space
Compatible mapping
fixed point
Parveen
Kumar
parveenyuvi@gmail.com
1
Department of Mathematics, Deenbandhu Chhotu Ram University of Science and Technology, Murthal, Sonipat 131039, Haryana, India.
AUTHOR
Nicola
Fabiano
nicola.fabiano@gmail.com
2
Vinča Institute of Nuclear Sciences - National Institute of the Republic of Serbia, University of Belgrade, Mike Petrovića
Alasa 12--14, 11351 Belgrade, Serbia
LEAD_AUTHOR
Ljiljana
Paunovic
ljiljana.paunovic@pr.ac.rs
3
Teacher Education Faculty, University in Pri\v{s}tina-Kosovska Mitrovica, Nemanjina bb, 38218 Leposavic, Serbia
AUTHOR
ORIGINAL_ARTICLE
A new version of the Hahn Banach theorem in b-Banach spaces
In 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.
http://www.macajournal.com/article_683277_e52ef706cb1063158527a9ebec809845.pdf
2021-09-01
27
32
10.30495/maca.2021.1929965.1011
b-normed space, b-Banach Space
Hahn-Banach theorem
Mohammad Reza
Haddadi
haddadi@abru.ac.ir
1
Department of Mathematics, Ayatollah Boroujerdi University, Boroujerd, Iran
AUTHOR
Hossein
Alaeidizaji
alaeidizaj.hossein@gmail.com
2
Department of Mathematics, Payame Noor University, P.O. Box. 19395-3697, Tehran, Iran
AUTHOR
Vahid
Parvaneh
zam.dalahoo@gmail.com
3
Department of Mathematics, Gilan-E-Gharb Branch, Islamic Azad University, Gilan-E-Gharb, Iran
LEAD_AUTHOR
ORIGINAL_ARTICLE
On Palais method in b-metric like spaces
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, 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.
http://www.macajournal.com/article_683581_7ad194b60560210f68d38fffef24e9bf.pdf
2021-09-01
33
38
10.30495/maca.2021.1932449.1015
Palais method
Banach contraction principle
fixed point
Nikola
Mirkov
nmirkov@vin.bg.ac.rs
1
University of Belgrade, Vinca'Institute of Nuclear Sciences - National Institute of the Republic of Serbia, Mike Petrovica Alasa 12--14, 11351 Belgrade, Republic of Serbia
AUTHOR
Zoran
Mitrovic
zoran.mitrovic@etf.unibl.org
2
The University of Banja Luka, Faculty of Electrical Engineering, Patre 5, 78000 Banja Luka, Bosnia and Herzegovina
LEAD_AUTHOR
Mudasir
Younis
mudasiryouniscuk@gmail.com
3
Department of Mathematics, Jammu Kashmir Institute of Mathematical Sciences, Srinagar, J and K, India
AUTHOR
Stjan
Radenovic
radens@beotel.net
4
University of Belgrade, Faculty of Mechanical Engineering, Kraljice Marije 16, 11120 Belgrade, Republic of Serbia
AUTHOR
ORIGINAL_ARTICLE
On quasi hemi-slant submanifolds of LP-cosymplectic manifolds
In 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.
http://www.macajournal.com/article_684536_6e0647625f41a5a685af2dd09bbb6105.pdf
2021-09-01
39
49
10.30495/maca.2021.1934998.1016
Slant submanifold
quasi hemi-slant submanifold and LP-cosymplectic manifold
Siddesha
M S
mssiddesha@gmail.com
1
Department of Mathematics, Jain (Deemed-to-be University) Bengaluru, Karnataka, India
LEAD_AUTHOR
Praveena
M M
mmpraveenamaths@gmail.com
2
2Department of Mathematics, M.S. Ramaiah Institute of Technology, Bangalore-54, Affiliated to VTU, Belagavi, Karnataka, India
AUTHOR
Bagewadi
C S
prof_bagewadi@yahoo.co.in
3
Department of Mathematics, Kuvempu University, Shankaraghatta- 577 451, Shimoga, Karnataka, India
AUTHOR
ORIGINAL_ARTICLE
Some approximations for an equation in modular spaces
In 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 $\rho$.
http://www.macajournal.com/article_684537_9f2801fa88be4e195cbe6e7e00c8d90f.pdf
2021-09-01
51
64
10.30495/maca.2021.1935651.1018
Hyers-Ulam stability
modular space
Quadratic-cubic functional equation
Mehdi
Barough
m.s.barough@gmail.com
1
Department of Medical Radiation Engineering, Centetal Tehran Branch, Islamic Azad University,Tehran,Iran
LEAD_AUTHOR
ORIGINAL_ARTICLE
Controlled g-frames in Hilbert C*-modules
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 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.
http://www.macajournal.com/article_684929_6efd75923f552e09c7ddf37e0fc7c6be.pdf
2021-09-01
65
82
10.30495/maca.2021.1937063.1023
Frame
g-frame
Hilbert C*-module
Nabin
Sahu
nabinkumar_sahu@daiict.ac.in
1
Dhirubhai Ambani Institute of Information and Communication Technology, Gandhinagar, India
LEAD_AUTHOR