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With the continuous development of information and communication network technology and data mining technology, an ICT routing algorithm based on improved k-means clustering algorithm and gray wolf optimization is proposed to improve the energy efficiency and extend the life cycle of wireless communication networks. Firstly, we model the atmospheric channel, design the topology of the tolerant network and optimize the routing algorithm to achieve the interoperability between multiple networks and break through the traditional network requirements for time and space constraints. Then we implement an IPv6-based soft router supporting Anycast routing protocol under Linux environment and propose a new Anycast routing implementation scheme. Finally, an ICT routing algorithm (KGRA algorithm) based on improved k-means clustering and gray wolf optimization is designed, which first clusters the sensor nodes in the monitoring area using the improved k-means clustering algorithm. The clusters formed by the improved k-means clustering algorithm are optimized, and then the grey wolf optimization algorithm with improved convergence factor is used to select the cluster heads in the optimized cluster area. Finally, the nodes in the monitoring area will send data to the aggregation nodes using single-hop intra-cluster and multi-hop inter-cluster transmission, thus increasing the survival period of the network and greatly reducing energy consumption while balancing the energy consumption of the network. [ABSTRACT FROM AUTHOR]

We examine whether and how climate policy uncertainty (CPU) affects bank value. Based on a sample of Chinese listed banks, we find that CPU is negatively associated with bank value, irrespective of bank type and bank size. Moreover, the increased CPU exacerbates the negative effects on bank value of the ratio of non-performing loans to total loans (NPL), operational efficiency (OE), and leverage ratio (LEV), suggesting that NPL, OE, and LEV are possible channels through which CPU harms bank value. The policy implication is that bank equity investors need to take the impact of CPU into account when deciding their investment portfolios while bankers and regulators need to improve some key financial indicators to reduce the negative impact of CPU. [ABSTRACT FROM AUTHOR]

Let E, F and G be Banach lattices. A G (E , F) is the collection of all bounded operators from E to F, that T U : G → F is regular for every bounded linear operator U : G → E . The operator class A G (E , F) has studied. A result of Yanovskii show that T : E → F ∈ A c 0 (E , F ″) if and only if T is weak serially summing operator i.e. the series [Yanovskii, L.P (Math. J. 20(2); 287–292, 1979)] ∑ i = 1 ∞ | T x i | is weak unconditional convergence if ∑ i = 1 ∞ x i is unconditional convergence. In this paper, we study A G (E , F) , where G is an AL-space, by introducing two new operator related to Levi property, which are named Levi operator and σ -Levi operator respectively. Suppose T : E → F ≥ 0 . We shows that if E has weak Fatou property then T is σ -Levi if and only if T ∈ A G (E , F) for every separable AL-space G if and only if T ∈ A L 1 [ 0 , 2 π ] (E , F) . Some relationships of two class operators and other operator classes are given. [ABSTRACT FROM AUTHOR]

Several recent papers investigated unbounded convergences in Banach lattices. In this paper, we first introduce un L- and M-weakly compact operators on Banach lattices, which contrast with L-(M-)weakly compact operators, by unbounded norm convergence. Then we research the relationship between these operators and L-(M-) weakly compact operators. Finally, we study the order and lattice structure of un L- and M-weakly compact operators. [ABSTRACT FROM AUTHOR]

Recently, the different types of unbounded convergences (u o , u n , u a w , u a w ∗) in Banach lattices were studied. In this paper, we study the continuous functionals with respect to unbounded convergences. We first characterize the continuity of linear functionals for these convergences. Then we define the corresponding unbounded dual spaces and get their exact form. Based on these results, we discuss order continuity and reflexivity of Banach lattices. Some related results are obtained as well. [ABSTRACT FROM AUTHOR]

The purpose of this paper is to propose an algorithm for solving the split common fixed point problem for strict quasi-ϕ-pseudocontractive mappings in Banach spaces. It is proved that the sequence generated by the proposed iterative algorithm converges strongly to a solution of the split common fixed point problem. Then, the main result is used to study the split common null point problem and the split quasi-inclusion problem. Finally, a numerical example is provided to illustrate our main result. The results presented in this paper extend and improve some recent corresponding results. [ABSTRACT FROM AUTHOR]

The rapid development of Internet technology has promoted the development of economic models to new heights and produced many new business models. E-commerce is one of them. The B2C market has developed rapidly in recent years, and its prospects are very attractive, attracting people's attention, and more and more fans have joined this market. Facing such fierce competition, how to maintain and improve the existing customer identity has become one of the problems that B2C e-commerce companies should solve. In recent years, the land use status of the surveyed areas has undergone great changes, mainly due to the rapid expansion of arable land and the gradual decrease of natural vegetation. According to the survey of land utilization index, the survey results show that the degree of land utilization in the surveyed area continues to increase. The status of land use change is mainly caused by natural evolution and human activities, but human activities have the greatest impact on land use changes, and economic activities at various social levels will also affect land use, especially the number of people. Establish the correlation between the area of relevant land use types and the concentration of water quality indicators. By establishing the relationship between the concentration of water quality indicators and the area of the corresponding land use type, the response relationship to the water quality evaluation coefficient of each land use structure can be obtained. Cultivated land and residential land have a degree of mineralization; COD, TN, and TP have a mutually promoting relationship, while waters and grassland have a mutually inhibiting relationship with the above water quality indicators. [ABSTRACT FROM AUTHOR]

We characterize Banach lattices for which each Dunford–Pettis operator (or weak Dunford–Pettis) is unbounded absolute weak Dunford–Pettis and conversely. [ABSTRACT FROM AUTHOR]

Let E, F be Banach lattices, where E has the disjoint Riesz decomposition property. For a lattice homomorphism T : E → F and a bounded subset A of E, we establish a necessary and sufficient condition under which TA is b-order bounded. Based on this, we study the b-order boundedness of subsets of E and obtain several characterizations of AM-spaces. Furthermore, we introduce and investigate a novel type of operators referred to as M-serially summing operator. The connections of this category of operators with classical notions of operators, such as majorizing operators, preregular operators and serially summing operators, are considered. [ABSTRACT FROM AUTHOR]

The notion of almost everywhere convergence has been generalized to vector lattices as unbounded order convergence, which proves to be a very useful tool in the theory of vector and Banach lattices. In this short note, we establish some new results on unbounded order convergence that tie up some loose ends. In particular, we show that every norm bounded positive increasing net in an order continuous Banach lattice is uo-Cauchy and that every uo-Cauchy net in an order continuous Banach lattice has a uo-limit in the universal completion. [ABSTRACT FROM AUTHOR]

The local well-posedness for the Cauchy problem of the liquid crystals system in the critical Besov space $$\dot B_{p,1}^{n/p - 1}\left( {{\mathbb{R}^n}} \right) \times \dot B_{p,1}^{n/p}\left( {{\mathbb{R}^n}} \right)$$ with n < p < 2 n is established by using the heat semigroup theory and the Littlewood-Paley theory. The global well-posedness for the system is obtained with small initial datum by using the fixed point theorem. The blow-up results for strong solutions to the system are also analysed. [ABSTRACT FROM AUTHOR]

In this paper, we introduce the class of almost weak* Dunford-Pettis operators and give a characterization of this class of operators. We study its relation with the classes of weak* Dunford-Pettis operators and almost Dunford-Pettis operators, and its relation with the closely related classes of almost limited operators and L-weakly compact operators. [ABSTRACT FROM AUTHOR]

We consider classical as well as weak solutions to the three dimensional Vlasov-Poisson system. Without assuming finiteness of kinetic energy, we prove global existence of classical solutions by assuming the initial datum is smooth enough and has a compact velocity-spatial support, which will be specified in Theorem 1.1. We also establish some propagation results for low moments of weak solutions. [ABSTRACT FROM AUTHOR]

The global stabilization of the Camassa-Holm equation with a distributed feedback control of the form $-(\lambda u-\beta u_{xx}-\lambda[u])$ is investigated. The existence and uniqueness of global strong solutions and global weak solutions to the closed loop control system are obtained. The exponential asymptotical stabilization of weak solutions to the problem is established. Namely, the weak solutions to the problem exponentially uniformly decay to a constant. The main novelty in this paper is that the effects of the coefficients λ and β on the global existence and exponential asymptotical stabilization of solutions are given. [ABSTRACT FROM AUTHOR]

A new type of ratiometric fluorescent probe capable of detecting Hg ions at nanomolar-concentration level with high selectivity was developed based on an indole-trizole-rhodamine triad and its practicability for intracellular Hg sensing was verified. The as-prepared fluorescent probe is capable of detecting Hg over other competing metal ions including Ag with high selectivity. The synergistic effect of Hg-assisted conversion of the nonfluorescent ring-closed rhodamine moiety to the highly fluorescent ring-open form as well as the fluorescence signal amplification originating from the Förster resonance energy transfer (FRET) from indole-trizole conjugate to rhodamine moiety contributed to a detection limit of 11 nM of the probe for Hg sensing. [ABSTRACT FROM AUTHOR]

Let E and F be Banach lattices, T, K : E → F be such that 0 ≤ T ≤ K and T is either a lattice homomorphism or almost interval-preserving. In this paper we will deduce that (1) If K is AM-compact then T also is AM-compact; (2) If either E′ or F has an order continuous norm and K is compact, then T is compact as well; (3) If K is weakly compact then so is T. Some related results are also obtained. [ABSTRACT FROM AUTHOR]

The purpose of this paper is to introduce and study the general viscosity approximation methods for quasi-nonexpansive mappings in the setting of infinite-dimensional Hilbert spaces. Under suitable conditions, we prove that the sequences generated by the proposed new algorithm converge strongly to a fixed point of quasi-nonexpansive mappings in Hilbert spaces, which is also the unique solution of some variational inequality. Then this result is used to study the split equality fixed point problems, the split equality common fixed point problems, the split equality null point problems, etc. Our results improve and generalize many results in the literature and they should have many applications in nonlinear science. [ABSTRACT FROM AUTHOR]