Short Communication Integral equations
1. An efficient method for the numerical solution of functional integral equations

M. Nili Ahmadabadi

Volume 09, Issue 02 , Spring 2020, Pages 105-111

  We propose an efficient mesh-less method for functional integral equations. Its convergence analysis has been provided. It is tested via a few numerical experiments which show the efficiency and applicability of the proposed method. Attractive numerical results have been obtained.  Read More

Research Paper Operator theory
2. Integral type contraction and coupled fixed point theorems in ordered G-metric spaces

E. Lotfali Ghasab; H. Majani; G. Soleimani Rad

Volume 09, Issue 02 , Spring 2020, Pages 113-120

  In this paper, we apply the idea of integral type contraction and prove some coupled fixed point theorems for such contractions in ordered $G$-metric space. Also, we support the main results by an illustrative example.  Read More

Research Paper General topology
3. Paracompactness on supra topological spaces

T. Al-shami

Volume 09, Issue 02 , Spring 2020, Pages 121-127

  In this article, we present the concept of supra paracompact spaces and study its basic properties. We elucidate its relationship with supra compact spaces and prove that the property of being a supra paracompact space is weakly hereditary and topological properties. Also, we provide some examples to ...  Read More

Research Paper Functional analysis
4. Approximation of endpoints for multi-valued mappings in metric spaces

K. Ullah; J. Ahmad; N. Muhammad

Volume 09, Issue 02 , Spring 2020, Pages 129-137

  In this paper, under some appropriate conditions, we prove some $\Delta$ and strong convergence theorems of endpoints for multi-valued nonexpansive mappings using modified Agarwal-O'Regan-Sahu iterative process in the general setting of 2-uniformly convex hyperbolic spaces. Our results extend and unify ...  Read More

Research Paper General topology
5. Somewhat-connectedness and somewhat-continuity in the product space

M. S. Bilao; M. A. Labendia

Volume 09, Issue 02 , Spring 2020, Pages 139-148

  In this paper, the concept of somewhat-connected space will be introduced and characterized. Its connection with the other well-known concepts such as the classical connectedness, the $\omega_\theta$-connectedness, and the $\omega$-connectedness will be determined. Moreover, the concept of \textit{somewhat}-continuous ...  Read More

Research Paper Abstract harmonic analysis
6. ‎Some‎ relations between ‎$‎L^p‎$‎-spaces on locally compact group ‎$‎G‎$ ‎and‎ double coset $K\setminus G/H‎$

R. A. Kamyabi Gol; F. Fahimian; F. Esmaeelzadeh

Volume 09, Issue 02 , Spring 2020, Pages 149-163

  Let $H$ and $K$ be compact subgroups of locally compact group $G$. By considering the double coset space $K\setminus G/H$, which equipped with an $N$-strongly quasi invariant measure $\mu$, for $1\leq p\leq +\infty$, we make a norm decreasing linear map from $L^p(G)$ onto $L^p(K\setminus G/H,\mu)$ and ...  Read More

Research Paper Fixed point theory
7. Common fixed point results for graph preserving mappings in parametric $N_b$-metric spaces

S. Kumar Mohanta; R. Kar

Volume 09, Issue 02 , Spring 2020, Pages 165-183

  In this paper, we discuss the existence and uniqueness of points of coincidence and common fixed points for a pair of graph preserving mappings in parametric $N_b$-metric spaces. As some consequences of this study, we obtain several important results in parametric $b$-metric spaces, parametric $S$-metric ...  Read More