Abdullah M. Al-roqi

Statistical convergence in a paranormed space

In this article, we define the notion of statistical convergence, statistical Cauchy and strongly p-Cesàro summability in a paranormed space. We establish some relations between them.AMS subject classification (2000): 41A10; 41A25; 41A36; 40A05; 40A30.

Saudi-KAU Coupled Global Climate Model: Description and Performance

BackgroundA new coupled global climate model (CGCM) has been developed at the Center of Excellence for Climate Change Research (CECCR), King Abdulaziz University (KAU), known as Saudi-KAU CGCM.PurposeThe main aim of the model development is to generate seasonal to subseasonal forecasting and long-term climate simulations.MethodsThe Saudi-KAU CGCM currently includes two atmospheric dynamical cores, two land components, three ocean components, and multiple physical parameterization options. The component modules and parameterization schemes have been adopted from different sources, and some have undergone modifications at CECCR. The model is characterized by its versatility, ease of use, and the physical fidelity of its climate simulations, in both idealized and realistic configurations. A description of the model, its component packages, and parameterizations is provided.ResultsResults from selected configurations demonstrate the model’s ability to reasonably simulate the climate on different time scales. The coupled model simulates El Niño-Southern Oscillation (ENSO) variability, which is fundamental for seasonal forecasting. It also simulates Madden-Julian Oscillation (MJO)-like disturbances with features similar to observations, although slightly weaker.ConclusionsThe Saudi-KAU CGCM ability to simulate the ENSO and the MJO suggests that it is capable of making useful predictions on subseasonal to seasonal timescales.

One-local retract and common fixed point in modular function spaces

In this paper, we introduce and study the concept of one-local retract in modular function spaces. In particular, we prove that any commutative family of ρ-nonexpansive mappings defined on a nonempty, ρ-closed and ρ-bounded subset of a modular function space has a common fixed point provided its convexity structure of admissible subsets is compact and normal.MSC: Primary 47H09; Secondary 46B20, 47H10.

On Symmetric Left Bi-Derivations in BCI-Algebras

The notion of symmetric left bi-derivation of a BCI-algebra X is introduced, and related properties are investigated. Some results on componentwise regular and d-regular symmetric left bi-derivations are obtained. Finally, characterizations of a p-semisimple BCI-algebra are explored, and it is proved that, in a p-semisimple BCI-algebra, F is a symmetric left bi-derivation if and only if it is a symmetric bi-derivation.

Non-differentiable minimax fractional programming with higher-order type Ifunctions

In this article, we are concerned with a class of non-differentiable minimaxfractional programming problems and their higher-order dual model. Weak, strongand converse duality theorems are discussed involving generalized higher-ordertype I functions. The presented results extend some previously known results onnon-differentiable minimax fractional programming.

Groups Generated by Two Conjugates of an Element of Order 3

Let G be a finite soluble group and P a subgroup of order 3. In this article we prove some results about the soluble groups generated by 2 conjugates of P and we use these results to produce some properties of G.

Normal unisoft filters in R0-algebras

In the present paper, the notions of normal uni-soft filters in -algebras are introduced, and related properties are investigated. Furthermore, characterizations of a normal uni-soft filter are established, and a new normal uni-soft filter from old one is constructed. Finally, a condition for a uni-soft filter to be normal is given and a condensational property of a normal uni-soft filter is established.

The Solubility of the Group of the Form ABA

In this paper, we show that if A and B are abelian subgroups of coprime orders and A is self normalizing then G = ABA possesses a normal complement to A. The proof presented here is direct and elementary.

Finite Soluble Group Generated by the Conjugacy Class of an Involution

Let G be a finite group and P a subgroup of order 2. We study in this article the structures of the soluble subgroup of G that is generated by three conjugates of P. We use the results we proved about the soluble subgroups that are generated by three conjugates of P to find a soluble analogue of the Baer–Suzuki Theorem in the case prime 2.