Abstract:
In this paper, we discuss the nonemptyness and boundedness of the
solution set for P_{*}-semidefinite complementarity problem by using the concept of exceptional
family of elements for complementarity problems over the cone of semidefinite
matrices, and obtain a main result that if the corresponding problem has a strict
feasible point, then its solution set is nonemptyness and boundedness.

Abstract:
In this
paper, we extend a descent algorithm without line search for solving
unconstrained optimization problems. Under mild conditions, its global
convergence is established. Further, we generalize the search direction to more
general form, and also obtain the global convergence of corresponding
algorithm. The numerical results illustrate that the new algorithm is
effective.

Abstract:
We consider the family of nonlinear difference equations: , , where for , , and the initial values . We give sufficient conditions under which the unique equilibrium of these equations is globally asymptotically stable, which extends and includes corresponding results obtained in the cited references.

Abstract:
We consider the family of nonlinear difference equations: xn+1=( ￠ ‘i=13fi(xn, ￠ € |,xn ￠ ’k)+f4(xn, ￠ € |,xn ￠ ’k)f5(xn, ￠ € |,xn ￠ ’k))/(f1(xn, ￠ € |,xn ￠ ’k)f2(xn, ￠ € |,xn ￠ ’k)+ ￠ ‘i=35fi(xn, ￠ € |,xn ￠ ’k)), n=0,1, ￠ € |, where fi ￠ C((0,+ ￠ )k+1,(0,+ ￠ )), for i ￠ {1,2,4,5}, f3 ￠ C([0,+ ￠ )k+1,(0,+ ￠ )), k ￠ {1,2, ￠ € |} and the initial values x ￠ ’k,x ￠ ’k+1, ￠ € |,x0 ￠ (0,+ ￠ ). We give sufficient conditions under which the unique equilibrium x ˉ=1 of these equations is globally asymptotically stable, which extends and includes corresponding results obtained in the cited references.

Abstract:
We study the following difference equation , where and the initial conditions . We show that every positive solution of the above equation either converges to a finite limit or to a two cycle, which confirms that the Conjecture 6.10.4 proposed by Kulenovi？ and Ladas (2002) is true. 1. Introduction Kulenovi？ and Ladas in [1] studied the following difference equation: where and the initial conditions , and they obtained the following theorems. Theorem A (see [1, Theorem ]). Equation (1.1) has a prime period-two solution if and only if . Furthermore, when , the prime period-two solution is unique and the values of and are the positive roots of the quadratic equation Theorem B (see [1, Theorem ]). Let be a solution of (1.1). Let be the closed interval with end points 1 and and let and be the intervals which are disjoint from and such that Then either all the even terms of the solution lie in and all odd terms lie in , or vice-versa, or for some , when (E1) holds, except for the length of the first semicycle of the solution, if , the length is one; if , the length is at most two. Theorem C (see [1, Theorem ]). (a) Assume . Then the equilibrium of (1.1) is global attractor. (b) Assume . Then every solution of (1.1) eventually enters and remains in the interval . In [1], they proposed the following conjecture. Conjecture 1 (see [1, Conjecture ]). Assume that . Show that every positive solution of (1.1) either converges to a finite limit or to a two cycle. Gibbons et al. in [2] trigged off the investigation of the second-order difference equations such that the function is increasing in and decreasing in . Motivated by [2], Berg [3] and Stevi？ [4] obtained some important results on the existence of monotone solutions of such equations which was later considerably developed in a series of papers [5–14] (for related papers see also [15–19]). The monotonous character of solutions of the equations was explained by Stevi？ in [20]. For some other papers in the area, see also [1, 17–19, 21–26] and the references cited therein. In this paper, we shall confirm that the Conjecture 1 is true. The main idea used in this paper can be found in papers [24, 26]. 2. Global behavior of (1.1) Theorem 2.1. Let be a nonoscillatory solution of (1.1); then converges to the unique positive equilibrium of (1.1). Proof. Since is a nonoscillatory solution of (1.1), we may assume without loss of generality that there exists such that for any . We claim for any . Indeed, if for some , then which implies ; this is a contradiction. Let ; then and . The proof is complete. In the sequel, let

Abstract:
Team psychological empowerment refers to the collective cognition which team members emerge from the state that how their teams have been empowered. More empowered teams tend to perform better than the less empowered teams, especially on the innovation behavior and creative outcome. This paper presents the connotation and measurement methods of team psychological empowerment, and then summarizes and discusses the influencing factors and mechanism to innovation performance of organizations. Finally, a brief outlook for the future research has been conducted.

Injustice is a common phenomenon which has a negative impact on not only the employees’ job involvement, but also their career success, and ultimately has an undesirable impact on the organization. Furthermore, managers and employees mostly are concerned about pay situation among many factors that cause the perception of unfairness. Nowadays, the majority of studies empirically verified how pay dispersion between subordinate relationship affects employees’ behavior. Few scholars explained the relationship between perception of justice affected by pay dispersion and job involvement based on equity theory. Thus, this study helps enterprises to understand the employees’ psychological perception of pay dispersion, so that managers can balance the internal salary gap and ameliorate the employees’ justice perception, and motivate employees to involve into work.

Abstract:
Team faultlines, which is based on the diversified features of team members, is a potential line dividing team into several sub-teams. In recent years, more and more researchers pay attention to this new perspective. This paper reviews literature from theoretical foundation, measuring method, effect mechanism and so on several aspects, and advances the research prospect hoping to provide reference for future research.

Abstract:
Three new borazine derivatives, 2,4,6-tri(allylamino)borazine (CH2=CHCH2NHBNH)3 (1), 2,4,6-tri(3-ethynylanilino)borazine (CH′CC6H4NHBNH)3 (2), and 2,4,6-tri(4-propargyl oxyanilino)borazine (CH′CCH2OC6H4NHBNH)3 (3) were synthesized by reaction of 2,4,6-trichloro-borazine Cl3B3N3H3 (TCB) with corresponding primary amines, respectively. Their thermal behavior was studied by differential scanning calorimetry (DSC) and thermogravimetric analysis (TGA). These molecules were easily crosslinked via thermal polymerization of reactive ethynyl or vinyl groups. The pyrolytic residues of borazines were investigated by X-ray photoelectron spectroscopy (XPS), powder X-ray diffraction (XRD), and scanning electron microscopy (SEM). The analytic results indicated that B-C-N ceramics were formed upon pyrolysis of the borazines under an inert atmosphere.