2-simultaneous quasi-Chebyshev and weakly-Chebyshev subspaces in quotient generalized 2-normed spaces
2-simultaneous quasi-Chebyshev and weakly-Chebyshev subspaces in quotient generalized 2-normed spaces

Majid Abrishami-Moghaddam

Volume 5, Issue 3 , September 2023, Pages 1-10

https://doi.org/10.30495/maca.2023.2000990.1074

Abstract
  In this paper, we present characterizations of 2-simultaneous quasi-Chebyshevity and 2-simultaneous weakly Chebyshevity in quotient generalized 2-normed spaces.  Read More
Some common fixed points results via the degree of nondensifiability
Some common fixed points results via the degree of nondensifiability

Gonzalo Garcia

Volume 5, Issue 3 , September 2023, Pages 11-22

https://doi.org/10.30495/maca.2023.2004998.1078

Abstract
  In this paper, under suitable conditions and by using the so-called degree of nondensifiability (DND), we provide sufficient conditions for the existence of a common fixed point for ...  Read More
n-projective modules in n-abelian category
n-projective modules in n-abelian category

Samira Hashemi; Feysal Hassani; Rasul Rasuli

Volume 5, Issue 3 , September 2023, Pages 23-33

https://doi.org/10.30495/maca.2022.1965161.1063

Abstract
  In this paper, we introduce and clarify a new presentation between the n-exact sequence and the n-projective module. Also, we obtain some new results about them  Read More
A survey on $\Theta$-contractions and fixed point theorems
A survey on $\Theta$-contractions and fixed point theorems

Oloche Paul; Shehu Shagari Mohammed

Volume 5, Issue 3 , September 2023, Pages 35-67

https://doi.org/10.30495/maca.2023.2005470.1079

Abstract
  In this work, a collection of various fixed point results of $\Theta$-contractions are examined. Important results from when the concept was introduced up to the recent developments ...  Read More
Boundedness of some operators on variable exponent Fofana's spaces and their preduals
Boundedness of some operators on variable exponent Fofana's spaces and their preduals

Nouffou Diarra

Volume 5, Issue 3 , September 2023, Pages 69-90

https://doi.org/10.30495/maca.2023.2006788.1080

Abstract
   Let $ 1 \leq p\leq \alpha \leq  q \leq \infty$.  The  Fofana's spaces $\left(L^{p},\ell^{q}\right)^{\alpha}(\mathbb{R}^d)$  were introduced in 1988 by Fofana ...  Read More
Characterization of semi-continuity in $L^{p}$-spaces
Characterization of semi-continuity in $L^{p}$-spaces

Samwel Asamba; Benard Okelo; Robert Obogi; Priscah Omoke

Volume 5, Issue 3 , September 2023, Pages 91-100

https://doi.org/10.30495/maca.2023.2006888.1081

Abstract
  Upper and lower semi-continuous functions are important in many areas and play a key role in optimization theory. This paper characterizes the lower and upper semi-continuity of $L^{p}$-space ...  Read More