‎In this paper we study the existence of fixed points for mappings defined on complete metric spaces‎, ‎satisfying a general contractive inequality depending on two additional mappings‎.

Here we propose an algorithm, named generalized orthogonal components regression (GOCRE), to explore the relationship between a categorical outcome and a set of massive variables. A set of orthogonal components are sequentially constructed to account for the variation of the categorical outcome, and together build up a generalized linear model (GLM). This algorithm can be considered as an exten...

Recently, Chen et al. (2009) proposed a finite polyhedral characterization of the convex hull of solutions to general mixed integer linear programs with bounded integer variables and introduced finitely convergent algorithms to solve this class of problems. In this paper, we investigate whether these algorithms provide computational tools that go beyond the convergence results reported in the a...

In this paper, we introduce a new class of subsets bounded linear operators between Banach spaces which is called p-(DPL) sets. Then, the relationship these sets with equicompact investigated. Moreover, define p-version Right sequentially continuous differentiable mappings and get some characterizations mappings. Finally, prove that mapping f : X ? Y real Fr?chet f? takes into if only may be wr...

For a finite measure λ, let L0(λ) denote the space of λ-measurable functions equipped with the topology of convergence in measure. We prove that a series in L0(λ) is subseries (or unconditionally) convergent provided each of its lacunary subseries converges. A series in a topological vector space is said to be subseries convergent if each of its subseries converges. As is well known, a subserie...

‎‎The investigation of equational compactness was initiated by‎ ‎Banaschewski and Nelson‎. ‎They proved that pure injectivity is‎ ‎equivalent to equational compactness‎. ‎Here we define the so‎ ‎called sequentially compact acts over semigroups and study‎ ‎some of their categorical and homological properties‎. ‎Some‎ ‎Baer conditions for injectivity of S-acts are also presented‎.

Segmentation and tracking of cells in long-term time-lapse experiments has emerged as a powerful method to understand how tissue shape changes emerge from the complex choreography of constituent cells. However, methods to store and interrogate the large datasets produced by these experiments are not widely available. Furthermore, recently developed methods for relating tissue shape changes to c...

The practical aspect in the parareal algorithm that it consist of using two solvers over different time stepping, the coarse and fine solvers to produce a rapid convergent iterative method for multi processors computations. The coarse solver solve the equation sequentially on the coarse time step while the fine solver use the information from the coarse solution to solve, in parallel, over the ...

In this paper, a novel iterative coupling scheme is developed for solving coupled hydro-mechanical problems using reproducing kernel particle method. The numerical scheme calls the fluid and the solid solvers sequentially and iteratively until convergent solutions are obtained. To overcome the numerical instability problem, a simple stabilization technique is developed and proved to be uncondit...