Alofi, Abdulaziz Saleem Moslem; Al-Mazrooei, Abdullah Eqal; Leyew, Bahru Tsegaye; Abbas, Mujahid(International Scientific Research Publications (ISRP), 2017)
In this paper, we introduce the concept of -dominated multivalued mappings and establish the existence of common fixed
points of such mappings on a closed ball contained in left/right K-sequentially complete dislocated ...
Evolution equations containing fractional derivatives
can provide suitable mathematical models for
describing important physical phenomena. In this paper,
we propose an accurate method for numerical solutions
of ...
Abbas, Mujahid; De la Sen, Manuel; Nazir, Talat(Hindawi Publishing, 2015)
The aim of this paper is to present fixed point result of mappings satisfying a generalized rational contractive condition in the setup
of multiplicative metric spaces. As an application, we obtain a common fixed point ...
Rahimi, Hamidreza; Abbas, Mujahid; Rad, Ghasem Soleimani(University of Nis, Serbia, Faculty of Sciences and Mathematics, 2015)
A vector metric space is a generalization of a metric space, where the metric is Riesz space
valued. We prove some common fixed point theorems for four mappings in ordered vector metric spaces.
Obtained results extend ...
Appadu, A. Rao; Djoko, J.K. (Jules Kamdem); Gidey, H.H.(American Institute of Physics, 2017)
In this work, three finite difference methods have been used to solve a three dimensional advection-diffusion equation
with given initial and boundary conditions. The three methods are fourth order finite difference method, ...
Bergsten, Christer; Engelbrecht, Johann C. (Johannes Cornelis), 1946-; Kagesten, Owe(Modestum, 2017)
One challenge for an optimal design of the mathematical components in engineering education curricula is to understand how the procedural and conceptual dimensions of mathematical work can be matched with different demands ...
Leyew, Bahru Tsegaye; Abbas, Mujahid(University Politehnica of Bucharest, 2016)
In this paper, we introduce the concept of a generalized alpha-Suzuki-Geraghty type contraction mapping and obtain fixed point results in the framework of an f-orbitally complete b-metric space. The results proved herein ...
The purpose of this paper is to prove theorem which generalize the corresponding results of Rhoades [B. E. Rhoades, Two New Fixed Point Theorems, Gen. Math. Notes, 2015, 27(2), 123--132]. This paper is to introduce the ...
PURPOSE : An unconditionally positive definite finite difference scheme termed as UPFD has been derived to approximate a linear advection-diffusion-reaction equation which models exponential travelling waves and the ...
De Jongh, Pieter J. (Riaan); Larney, Janette; Mare, Eben; Van Vuuren, Gary W.; Verster, Tanja(University of Pretoria, Department of Economics, 2017-06-23)
BACKGROUND : With the increasing use of complex quantitative models in applications
throughout the financial world, model risk has become a major concern. The credit crisis of
2008–2009 provoked added concern about the ...
Sanderson, Leon B.; Mare, Eben; De Jongh, Dawie C.J.(Academy of Science of South Africa, 2017-07)
The business of banking involves the taking of deposits and the making of loans. Banking balance sheets are
typically highly leveraged, with equity capital generally dwarfed by debt capital. Banks are regulated entities; ...
Appadu, A. Rao; Chapwanya, Michael; Jejeniwa, O.A.(Inderscience, 2017)
Two new explicit finite difference schemes for the solution of the one-dimensional Korteweg-de-Vries equation are proposed. This equation describes the character of a wave generated by an incompressible fluid. We analyse ...
Angular equivalence is introduced and shown to be an equivalence relation among the norms on a fixed real vector space. It is a finer notion than the usual (topological) notion of norm equivalence. Angularly equivalent ...
We obtain Edelstein-Suzuki type theorems for multivalued mappings in compact b-metric spaces. Moreover, we prove the
existence of coincidence and common fixed points of a hybrid pair of mappings that satisfies Edelstein-Suzuki ...
Driver, K.; Jooste, Alta(Taylor and Francis, 2017-04)
We consider the interlacing of zeros of polynomials within the sequences of quasi-orthogonal order one Meixner polynomials characterised by −β, c ∈ (0, 1). The interlacing of zeros of quasi-orthogonal Meixner polynomials ...
Malinzi, Joseph; Eladdadi, Amina; Sibanda, Precious(Taylor and Francis, 2017-05)
Chemovirotherapy is a combination therapy with chemotherapy and oncolytic viruses. It is gaining more interest and attracting more attention in the clinical setting due to its effective therapy and potential synergistic ...
Flint, Emlyn James; Mare, Eben(University of Pretoria, Department of Economics, 2017-03-29)
BACKGROUND : Contingent claims on underlying assets are typically priced under a framework
that assumes, inter alia, that the log returns of the underlying asset are normally distributed.
However, many researchers have ...