Completeness of b∼Metric Spaces and the Fixed Points of Generalized Multivalued Quasicontractions by Basit Ali, Mujahid Abbas, Manuel de la Sen

“…The purpose of this paper is twofold: (a) to establish the existence of fixed points of multivalued quasicontractions in the setup of b∼ metric spaces and (b) to establish completeness of a b∼ metric space which is a topological property in nature with existence of fixed points of generalized multivalued quasicontractions. …”
Get full text

Study of Dynamic Brittle Fracture of Composite Lamina Using a Bond-Based Peridynamic Lattice Model by Jushang Guo, Weicheng Gao, Zhenyu Liu, Xiongwu Yang, Fengshou Li

“…Material orthogonal anisotropy was represented by rotating topological lattice structure instead of fiber directions. …”
Get full text

Co-Loan Network of Chinese Banking System Based on Listed Companies’ Loan Data by Liang Li, Qianting Ma, Jianmin He, Xin Sui

“…Based on the loan data of Chinese listed companies from 2008 to 2016, this paper constructs a co-loan network of the Chinese banking system and analyzes the topological structures and corresponding evolvement characteristics from the perspective of complex network. …”
Get full text

Fixed Point Theorems for Generalized Kannan-Type Mappings in a New Type of Fuzzy Metric Space by Mi Zhou, Xiao-lan Liu, Nicolae Adrian Secelean

“…Second, we study the topological properties of S∗−fuzzy metric spaces. Finally, we extend Kannan-type mappings to generalized Kannan-type mappings under ϕ−gauge functions introduced by Fang in S∗−fuzzy metric spaces and prove the existence and uniqueness of fixed point for this kind of mappings. …”
Get full text

Real Gel'fand-Mazur division algebras by Mati Abel, Olga Panova

“…We give conditions for a commutative strictly real topological division algebra to be a commutative real Gel'fand-Mazur division algebra.…”
Get full text

Approach for distributed BPEL engine placement using K-means by Rong-heng LIN, Bu-dan WU, Yao ZHAO, Fang-chun YANG

“…How to apply the algorithm in dif-ferent network topologies was also discussed, such as random graph and tree network. …”
Get full text

The Strong Disjoint Blow-Up/Collapse Property by Héctor N. Salas

“…Let be a topological vector space, and let be the algebra of continuous linear operators on . …”
Get full text

Combined Synchronization among Three Inconsistent Networks by Yuan Chai, Xiaojing Zhu, Jingjing Cai

“…According to Lyapunov Stability Theorem, combined controllers are designed to control three disparate networks with different topological structures. A realistic combination model of multiple inhomogeneous networks and a universal controller are devised in the combination design. …”
Get full text

On Hyperbolic 3-Manifolds Obtained by Dehn Surgery on Links by Soo Hwan Kim, Yangkok Kim

“…In particular, our result includes the topological classification of the closed 3-manifolds obtained by Dehn surgery on the Whitehead link, according to Mednykh and Vesnin (1998), and the hyperbolic link 𝐿𝑑+1 of 𝑑+1 components in Cavicchioli and Paoluzzi (2000).…”
Get full text

Synchronization between Two Discrete-Time Networks with Mutual Couplings by Meng Xiao, Weigang Sun, Fangyue Chen

“…Finally, we show numerical examples to verify our theoretical analysis and discuss the effect of coupling strengths, node dynamics, and topological structures on the inner and outer synchronization. …”
Get full text

A Graph Embedding Method Based on Sparse Representation for Wireless Sensor Network Localization by Xiaoyong Yan, Aiguo Song, Hao Yan

“…The Gaussian kernel function is used to evaluate the similarity between nodes, and the location of the unknown nodes will be commonly decided by all the nodes within communication radius through selection of sparse preserve projection self-adaptation and maintaining of the topological structure between adjacent nodes. Therefore, the algorithm can effectively solve the nonlinear problem while ranging, and it becomes less affected by the measuring error and beacon nodes quantity.…”
Get full text

Neuroevolutionary reinforcing learning of neural networks by Y. A. Bury, D. I. Samal

“…This method of constructing it makes it possible to bypass the specific limitations of models created on the basis of recombination of already known topologies of neural networks.…”
Get full text

Anomalies of QFTs from M-theory and holography by Ibrahima Bah, Federico Bonetti, Ruben Minasian, Emily Nardoni

“…In particular, when the QFT admits a holographic dual, the topological data of the solution is sufficient to compute the anomalies of the dual field theory, including finite terms in N. …”
Get full text

Operator dimension parity fractionalization by Christopher W. Murphy

“…If the ℤ 4 is anomaly-free, such QFTs can be related to 3D topological superconductors. Additionally, imposing the ℤ 4 symmetry on the Standard Model effective field theory severely restricts the allowed processes that violate baryon and lepton numbers.…”
Get full text

The Hahn Sequence Space Defined by the Cesáro Mean by Murat Kirişci

“…In this paper, the matrix domain of the Hahn sequence space determined by the Cesáro mean first order, denoted by , is obtained, and some inclusion relations and some topological properties of this space are investigated. …”
Get full text

Linear right ideal nearrings by Kenneth D. Magill

“…We determine, up to isomorphism, all those topological nearrings 𝒩n whose additive groups are the n-dimensional Euclidean groups, n>1, and which contain n one-dimensional linear subspaces {Ji}i=1n which are also right ideals of the nearring satisfying several additional properties. …”
Get full text

Generalized Lacunary Statistical Difference Sequence Spaces of Fractional Order by Ugur Kadak

“…We study some properties of this operator and investigate the topological structures of related sequence spaces. Furthermore, we introduce some properties of the strongly Cesaro difference sequence spaces of fractional order involving lacunary sequences and examine various inclusion relations of these spaces. …”
Get full text

Pinning Synchronization of One-Sided Lipschitz Complex Networks by Fang Liu, Qiang Song, Jinde Cao, Jianquan Lu

“…A selective pinning scheme is further provided to address the selection of pinned nodes and the design of pinning feedback gains for one-sided Lipschitz complex networks with general topologies. Numerical results are given to illustrate the effectiveness of the theoretical analysis.…”
Get full text

Optimized Design of 3D Spatial Images Based on Kalman Filter Equation by Wei Shan

“…A global optimal planar segmentation method with graded energy minimization is proposed, which can realize the accurate and stable extraction of the topological structure of the top surface by combining the edge information of remote sensing optical images and ensure the accuracy and stability of the final extracted 3D spatial information.…”
Get full text

Control of giant orbital angular momentum bursts of structured Laguerre-Gaussian beams in a medium with general astigmatism by A.V. Volyar, E.G. Abramochkin, M.V. Bretsko, S.I. Khalilov, Ya.E. Akimova

“…Since degenerate ring dislocations are formed by optical vortices with opposite topological charges, but with equal weights, their destruction is accompanied by appearing of vortex pairs in the form of topological dipoles (their number is equal to the radial number n). …”
Get full text