Attractors of Compactly Generated Semigroups of Regular Polynomial Mappings by Azza Alghamdi, Maciej Klimek, Marta Kosek

“…We investigate the metric space of pluriregular sets as well as the contractions on that space induced by infinite compact families of proper polynomial mappings of several complex variables. The topological semigroups generated by such families, with composition as the semigroup operation, lead to the constructions of a variety of Julia-type pluriregular sets. …”
Get full text

Equivalent Cauchy Sequences in q1,q2-Quasi Metric-Like Space and Applications to Fixed-Point Theory by Eriola Sila, Sidite Duraj, Elida Hoxha

“…This paper introduces the concept of q1,q2-quasi metric-like space X,p and delves into some topological properties of it. A necessary and sufficient condition related to equivalent Cauchy sequences and Cauchy sequences in X,p have been proved. …”
Get full text

On G-finitistic spaces and related notions by Satya Deo, Janak Singh Andotra

“…Let X be a G-space where G is a topological group. We show that X is G-finitistic iff the orbit space X/G is finitistic. …”
Get full text

Some Qualitative Analyses of Neutral Functional Delay Differential Equation with Generalized Caputo Operator by Abdellatif Boutiara, Mohammed M. Matar, Mohammed K. A. Kaabar, Francisco Martínez, Sina Etemad, Shahram Rezapour

“…Also, we prove other existence criteria by means of the topological degree method. Finally, Ulam-Hyers type stability and its generalized version are studied. …”
Get full text

Geometric Assortative Growth Model for Small-World Networks by Yilun Shang

“…We obtain analytical solutions of relevant topological properties such as order, size, degree distribution, degree correlation, clustering, transitivity, and diameter. …”
Get full text

Heterogeneous Information Networks Node Similarity Measurement Based on Feature Sub-Graph by Biao Zhang, Chuan Li, Hongyu Xu, Yanmei Li, Ning Yang, Qian Luo

“…The algorithm takes graph theory as its foundation, set different weight to different kinds of edges, considers nodes information as well as graph to topological information, and makes full use of the information in heterogeneous network. …”
Get full text

Structure Theorem for Functionals in the Space 𝔖′𝜔1,𝜔2 by Hamed M. Obiedat, Wasfi A. Shatanawi, Mohd M. Yasein

“…Moreover, we give a topological characterization of the space 𝔖𝜔1,𝜔2 without conditions on the derivatives. …”
Get full text

Cocompact Open Sets and Continuity by Samer Al Ghour, Salti Samarah

“…Compact subsets of a topological space are used to define coc-open sets as new generalized open sets, and then coc-open sets are used to define (coc)∗-open sets as another type of generalized open sets. …”
Get full text

Covariant Canonical Method for Yang-Mills Theory Expressed as a Constrained BF-Like Theory by Alberto Escalante, Irving García

“…We study a BF-like action, that in spite of being the coupling of two topological terms, yield, on shell to Yang-Mills action. …”
Get full text

Generalized Difference Lacunary Weak Convergence of Sequences by Bibhajyoti Tamuli, Binod Tripathy

“…We investigated several of its algebraic and topological properties, such as solidness, symmetry and monotone. …”
Get full text

On the Nonlinearity of Extended s-Type Weighted Nakano Sequence Spaces of Fuzzy Functions with Some Applications by Awad A. Bakery, Elsayed A. E. Mohamed

“…We have constructed the ideal generated by extended s-fuzzy functions and the sequence spaces of fuzzy functions. We present some topological and geometric structures of this class of ideal and multiplication mappings acting on this sequence space of fuzzy functions. …”
Get full text

A Novel Generalization of Strong Probabilistic $b$-Metric Spaces and Fixed Point Theorems by Youssef Achtoun, Abderrahim Mbarki, Ismail Tahiri, Mohammed Lamarti Sefian

“…We also demonstrate some of its fundamental topological properties and provide examples. In this context, a new result of fixed point property was proved for the probabilistic $\omega$-contraction mapping on these kinds of spaces. …”
Get full text

Integrated Approach for Biomarker Discovery and Mechanistic Insights into the Co-Pathogenesis of Type 2 Diabetes Mellitus and Non-Hodgkin Lymphoma by Zhu Y, Liu J, Wang B

“…Functional analyses were performed to explore underlying mechanisms. Topological analysis and machine learning algorithms were applied to refine hub gene selection. …”
Get full text

Abnormal alterations in structure-function coupling at the modular level in patients with postherpetic neuralgia by Zihan Li, Jian Jiang, Xiaofeng Jiang, Yangyang Xie, Jing Lu, Lili Gu, Shunda Hong

“…Large-scale impaired topological properties of the FC and SC networks were observed in patients with PHN, and SC–FC decoupling was detected in these modules of the DMN, SN, and VIS. …”
Get full text

Speed of the Goldstone Sound Mode of an Atomic Fermi Gas Loaded on a Square Optical Lattice with a Non-Abelian Gauge Field in the Presence of a Zeeman Field by Zlatko Koinov, Israel Chávez Villalpando

“…It is found that (i) there is no sharp change of the slope of the Goldstone sound mode across the topological quantum phase transition point and (ii) the Gaussian approximation significantly overestimates the speed of sound of the Goldstone mode compared to the value provided by the BS formalism.…”
Get full text

Singular Initial Value Problem for Certain Classes of Systems of Ordinary Differential Equations by Josef Diblík, Josef Rebenda, Zdeněk Šmarda

“…The method of functions defined implicitly and the topological method (Ważewski's method) are used in the proofs. …”
Get full text

MESH NETWORK SIMULATION by Pei Ping, Yury N. Petrenko

“…Mesh networks has a special topologic structure. The paper investigates a message transfer in wireless mesh network simulation and how does it works in cellular network simulation. …”
Get full text

Phase Transitions of GUP-Corrected Charged AdS Black Hole by Meng-Sen Ma, Yan-Song Liu

“…We study the thermodynamic properties and critical behaviors of the topological charged black hole in AdS space under the consideration of the generalized uncertainty principle (GUP). …”
Get full text

Quantum secret sharing with graph states based on Chinese remainder theorem by Jianwu LIANG, Xiaoshu LIU, Zi CHENG

“…Based on the topological features of quantum graph states,a quantum secret sharing scheme based on Chinese remainder theorem with a vivid graphic description was proposed.The dealer extracts sub-secrets according to Chinese remainder theorem over finite field,which were imbedded with quantum graph states and transmitted to the legal participants with unitary operations.Group-recovery protocols were used in the secret recovering processing through rebuilding sub-secrets among legal cooperative participants.Analysis shows that it could provide better security and capability of the information.…”
Get full text

Existence and construction of the Peano selection for a multivalued function by Rosario D. Delgado V., Waymer A. Barreto V., Teodoro L. Acevedo T.

“…To achieve this, a bibliographic review was carried out on general results of compact topological spaces, open and closed sets and continuity. …”
Get full text