2022-05-28T22:09:47Z
http://www.macajournal.com/?_action=export&rf=summon&issue=1135922
Mathematical Analysis and its Contemporary Applications
MACA
2716-9890
2716-9890
2021
3
3
On various types of compatible Jungck--Rhoades pairs of mappings in C*-algebra valued metric spaces
Parveen
Kumar
Nicola
Fabiano
Ljiljana
Paunovic
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.
C* -algebra valued metric Space
Compatible mapping
fixed point
2021
09
01
1
25
http://www.macajournal.com/article_683278_d31787bbf23845b09c9de981825a75eb.pdf
Mathematical Analysis and its Contemporary Applications
MACA
2716-9890
2716-9890
2021
3
3
A new version of the Hahn Banach theorem in b-Banach spaces
Mohammad Reza
Haddadi
Hossein
Alaeidizaji
Vahid
Parvaneh
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.
b-normed space, b-Banach Space
Hahn-Banach theorem
2021
09
01
27
32
http://www.macajournal.com/article_683277_e52ef706cb1063158527a9ebec809845.pdf
Mathematical Analysis and its Contemporary Applications
MACA
2716-9890
2716-9890
2021
3
3
On Palais method in b-metric like spaces
Nikola
Mirkov
Zoran
Mitrovic
Mudasir
Younis
Stjan
Radenovic
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.
Palais method
Banach contraction principle
fixed point
2021
09
01
33
38
http://www.macajournal.com/article_683581_7ad194b60560210f68d38fffef24e9bf.pdf
Mathematical Analysis and its Contemporary Applications
MACA
2716-9890
2716-9890
2021
3
3
On quasi hemi-slant submanifolds of LP-cosymplectic manifolds
Siddesha
M S
Praveena
M M
Bagewadi
C S
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.
Slant submanifold
quasi hemi-slant submanifold and LP-cosymplectic manifold
2021
09
01
39
49
http://www.macajournal.com/article_684536_6e0647625f41a5a685af2dd09bbb6105.pdf
Mathematical Analysis and its Contemporary Applications
MACA
2716-9890
2716-9890
2021
3
3
Some approximations for an equation in modular spaces
Mehdi
Barough
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 $\rho$.
Hyers-Ulam stability
modular space
Quadratic-cubic functional equation
2021
09
01
51
64
http://www.macajournal.com/article_684537_9f2801fa88be4e195cbe6e7e00c8d90f.pdf
Mathematical Analysis and its Contemporary Applications
MACA
2716-9890
2716-9890
2021
3
3
Controlled g-frames in Hilbert C*-modules
Nabin
Sahu
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.
Frame
g-frame
Hilbert C*-module
2021
09
01
65
82
http://www.macajournal.com/article_684929_6efd75923f552e09c7ddf37e0fc7c6be.pdf