Research Paper Algebraic topology
1. On the X basis in the Steenrod algebra

N. D. Turgay

Volume 08, Issue 04 , Autumn 2019, Pages 215-218

Abstract
  ‎Let $\mathcal{A}_p$ be the mod $p$ Steenrod algebra‎, ‎where $p$ is an odd prime‎, ‎and let $\mathcal{A}$ be the‎ subalgebra $\mathcal{A}$ of $\mathcal{A}_p$ generated by the Steenrod $p$th powers‎. ‎We generalize the $X$-basis in $\mathcal{A}$ to $\mathcal{A}_p$‎.  Read More

Research Paper Integral equations
2. Hyers–Ulam–Rassias stability of impulsive Volterra integral equation via a fixed point approach

R. Shah; A. Zada

Volume 08, Issue 04 , Autumn 2019, Pages 219-227

Abstract
  ‎In this paper‎, ‎we establish the Hyers--Ulam--Rassias stability and the Hyers--Ulam stability of impulsive Volterra integral equation by using a fixed point method‎.  Read More

Research Paper Abstract harmonic analysis
3. Measures of maximal entropy

M. Amini

Volume 08, Issue 04 , Autumn 2019, Pages 229-235

Abstract
  We extend the results of Walters on the uniqueness of invariant measures with maximal entropy on compact groups to an arbitrary locally compact group. We show that the maximal entropy is attained at the left Haar measure and the measure of maximal entropy is unique.  Read More

Research Paper Integral equations
4. New iteration process for approximating fixed points in Banach spaces

J. D. Bhutia; K. Tiwary

Volume 08, Issue 04 , Autumn 2019, Pages 237-250

Abstract
  ‎The object of this paper is to present a new iteration process‎. ‎We will show that our process is faster than the known recent iterative schemes‎. ‎We discuss stability results of our iteration and prove some results in the context of uniformly convex Banach space for Suzuki generalized ...  Read More

Research Paper Linear and multilinear algebra; matrix theory
5. Non-additive Lie centralizer of infinite strictly upper triangular matrices

D. A. Aiat ‎Hadj

Volume 08, Issue 04 , Autumn 2019, Pages 251-255

Abstract
  ‎Let $\mathcal{F}$ be an field of zero characteristic and $N_{\infty‎}(‎\mathcal{F})$ be the algebra of infinite strictly upper triangular‎ ‎matrices with entries in $\mathcal{F}$‎, ‎and $f:N_{\infty}(\mathcal{F}‎)\rightarrow N_{\infty}(\mathcal{F})$ be a non-additive ...  Read More

Research Paper General topology
6. $\gamma_{_\mu}$-Lindel\"{o}f generalized topological spaces

B. Roy; T. Noiri

Volume 08, Issue 04 , Autumn 2019, Pages 257-263

Abstract
  ‎In this paper we have introduced new types of sets termed as $\omega_{_{\gamma_{_\mu}}}$-open sets with the help of an operation and a generalized topology‎. ‎We have also defined a notion of $\gamma_{_\mu}$-Lindel\"{o}f spaces and discussed some of its basic properties‎.    Read More

Research Paper Operator theory
7. $C$-class functions on common fixed point theorems for weak‎ ‎contraction mapping of integral type in modular spaces

H. A. Hammad; R. A. Rashwan; A. H. Ansari

Volume 08, Issue 04 , Autumn 2019, Pages 265-285

Abstract
  ‎In this paper‎, ‎we use the concept of $C$-class functions introduced‎ ‎by Ansari [4] to prove the existence and uniqueness of‎ ‎common fixed point for self-mappings in modular spaces of integral‎ ‎inequality‎. ‎Our results extended and generalized ...  Read More