Browsing by Author "Arshad, Muhammad"

Now showing 1 - 4 of 4

Citation - WoS: 4
Citation - Scopus: 4
Approximation of Oscillatory Bessel Integral Transforms
(Elsevier, 2023) Khan, Suliman; Zaman, Sakhi; Arshad, Muhammad; Alhazmi, Sharifah E.; Khan, Feroz; Park, Jongee; Metallurgical and Materials Engineering
The numerical treatment of oscillatory integrals is a demanding problem in applied sciences, particularly for large-scale problems. The main concern of this work is on the approximation of oscillatory integrals having Bessel-type kernels with high frequency and large interpolation points. For this purpose, a modified meshless method with compactly supported radial basis functions is implemented in the Levin formulation. The method associates a sparse system matrix even for high frequency values and large data points, and approximates the integrals accurately. The method is efficient and stable than its counterpart methods. Error bounds are derived theoretically and verified with several numerical experiments.(c) 2023 International Association for Mathematics and Computers in Simulation (IMACS). Published by Elsevier B.V. All rights reserved.
Citation - WoS: 40
Citation - Scopus: 46
Generalized contractions with triangular α-orbital admissible mapping on Branciari metric spaces
(Springeropen, 2016) Arshad, Muhammad; Ameer, Eskandar; Karapinar, Erdal; Mathematics
The purpose of this paper is to generalize fixed point theorems introduced by Jleli et al. (J. Inequal. Appl. 2014: 38, 2014) by using the concept of triangular alpha-orbital admissible mappings established in Popescu (Fixed Point Theory Appl. 2014: 190, 2014). Some examples are given here to illustrate the usability of the obtained results.
Citation - WoS: 23
Some Common Fixed Point Results in Rectangular Metric Spaces
(Hindawi Ltd, 2013) Arshad, Muhammad; Ahmad, Jamshaid; KarapJnar, Erdal; Mathematics
We obtain sufficient conditions for the existence of unique common fixed point of (psi-phi)-weakly contractive mappings on complete rectangular metric spaces. In the process, we generalize several fixed point results from the literature. We also give an example to illustrate our work.
Citation - WoS: 35
Citation - Scopus: 43
Some unique fixed point theorems for rational contractions in partially ordered metric spaces
(Springeropen, 2013) Arshad, Muhammad; Karapinar, Erdal; Ahmad, Jamshaid; Mathematics
In this paper, we prove some unique fixed point results for an operator T satisfying certain rational contraction condition in a partially ordered metric space. Our results generalize the main result of Jaggi (Indian J. Pure Appl. Math. 8(2):223-230, 1977). We give several examples to show that our results are proper generalization of the existing one. MSC: 47H10, 54H25, 46J10, 46J15.