On various types of compatible Jungck--Rhoades pairs of mappings in C*-algebra valued metric spaces
Parveen
Kumar
Department of Mathematics, Deenbandhu Chhotu Ram University of Science
and Technology, Murthal, Sonipat 131039, Haryana, India.
author
Nicola
Fabiano
Vinča Institute of Nuclear Sciences - National Institute of the Republic of Serbia, University of Belgrade, Mike Petrovića
Alasa 12--14, 11351 Belgrade, Serbia
author
Ljiljana
Paunovic
Teacher Education Faculty, University in Pri\v{s}tina-Kosovska Mitrovica,
Nemanjina bb, 38218 Leposavic, Serbia
author
text
article
2021
eng
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.
Mathematical Analysis and its Contemporary Applications
A.I.A University Publishing Group.
2716-9890
3
v.
3
no.
2021
1
25
http://www.macajournal.com/article_683278_d31787bbf23845b09c9de981825a75eb.pdf
dx.doi.org/10.30495/maca.2021.1932335.1014
A new version of the Hahn Banach theorem in b-Banach spaces
Mohammad Reza
Haddadi
Department of Mathematics, Ayatollah Boroujerdi University, Boroujerd, Iran
author
Hossein
Alaeidizaji
Department of Mathematics, Payame Noor University, P.O. Box. 19395-3697, Tehran, Iran
author
Vahid
Parvaneh
Department of Mathematics, Gilan-E-Gharb Branch, Islamic Azad University, Gilan-E-Gharb, Iran
author
text
article
2021
eng
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.
Mathematical Analysis and its Contemporary Applications
A.I.A University Publishing Group.
2716-9890
3
v.
3
no.
2021
27
32
http://www.macajournal.com/article_683277_e52ef706cb1063158527a9ebec809845.pdf
dx.doi.org/10.30495/maca.2021.1929965.1011
On Palais method in b-metric like spaces
Nikola
Mirkov
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
The University of Banja Luka, Faculty of Electrical Engineering, Patre 5, 78000 Banja Luka, Bosnia and Herzegovina
author
Mudasir
Younis
Department of Mathematics, Jammu Kashmir Institute of Mathematical Sciences, Srinagar, J and K, India
author
Stjan
Radenovic
University of Belgrade, Faculty of Mechanical Engineering, Kraljice Marije 16, 11120 Belgrade, Republic of Serbia
author
text
article
2021
eng
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.
Mathematical Analysis and its Contemporary Applications
A.I.A University Publishing Group.
2716-9890
3
v.
3
no.
2021
33
38
http://www.macajournal.com/article_683581_7ad194b60560210f68d38fffef24e9bf.pdf
dx.doi.org/10.30495/maca.2021.1932449.1015
On quasi hemi-slant submanifolds of LP-cosymplectic manifolds
Siddesha
M S
Department of Mathematics, Jain (Deemed-to-be University)
Bengaluru, Karnataka, India
author
Praveena
M M
2Department of Mathematics, M.S. Ramaiah Institute of Technology, Bangalore-54, Affiliated to VTU, Belagavi, Karnataka, India
author
Bagewadi
C S
Department of Mathematics, Kuvempu University, Shankaraghatta- 577 451, Shimoga, Karnataka, India
author
text
article
2021
eng
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.
Mathematical Analysis and its Contemporary Applications
A.I.A University Publishing Group.
2716-9890
3
v.
3
no.
2021
39
49
http://www.macajournal.com/article_684536_6e0647625f41a5a685af2dd09bbb6105.pdf
dx.doi.org/10.30495/maca.2021.1934998.1016
Some approximations for an equation in modular spaces
Mehdi
Barough
Department of Medical Radiation Engineering, Centetal Tehran Branch, Islamic Azad University,Tehran,Iran
author
text
article
2021
eng
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 $\rho$.
Mathematical Analysis and its Contemporary Applications
A.I.A University Publishing Group.
2716-9890
3
v.
3
no.
2021
51
64
http://www.macajournal.com/article_684537_9f2801fa88be4e195cbe6e7e00c8d90f.pdf
dx.doi.org/10.30495/maca.2021.1935651.1018
Controlled g-frames in Hilbert C*-modules
Nabin
Sahu
Dhirubhai Ambani Institute of Information and Communication Technology, Gandhinagar, India
author
text
article
2021
eng
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.
Mathematical Analysis and its Contemporary Applications
A.I.A University Publishing Group.
2716-9890
3
v.
3
no.
2021
65
82
http://www.macajournal.com/article_684929_6efd75923f552e09c7ddf37e0fc7c6be.pdf
dx.doi.org/10.30495/maca.2021.1937063.1023