Semicompatibility and fixed point theorems in fuzzy metric space using implicit relation by Bijendra Singh, Shishir Jain

“…Recently, Popa (2002) has employed a similar but not the same implicit relation to obtain a fixed point theorem for d-complete topological spaces. All the results of this paper are new.…”
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Sphere Theorems for <i>σ_k</i>-Einstein Manifolds by Jingyang Zhong, Xinran Mu

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δ-Cut Decision-Theoretic Rough Set Approach: Model and Attribute Reductions by Hengrong Ju, Huili Dou, Yong Qi, Hualong Yu, Dongjun Yu, Jingyu Yang

“…Decision-theoretic rough set is a quite useful rough set by introducing the decision cost into probabilistic approximations of the target. …”
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A summability factor theorem for absolute summability involving almost increasing sequences by B. E. Rhoades, Ekrem Savaş

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A weighted discrete limit theorem on the complex plane for the Matsumoto zeta-function by Roma Kačinskaitė

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Dynamic Load on a Pipe Caused by Acetylene Detonations – Experiments and Theoretical Approaches by Axel Sperber, Hans-Peter Schildberg, Steven Schlehlein

“…Different modelling approaches were used to quantify, theoretically, the radial displacements of the pipe wall. …”
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Theoretical Research Progress in High-Velocity/Hypervelocity Impact on Semi-Infinite Targets by Yunhou Sun, Cuncheng Shi, Zheng Liu, Desheng Wen

“…With the hypervelocity kinetic weapon and hypersonic cruise missiles research projects being carried out, the damage mechanism for high-velocity/hypervelocity projectile impact on semi-infinite targets has become the research keystone in impact dynamics. Theoretical research progress in high-velocity/hypervelocity impact on semi-infinite targets was reviewed in this paper. …”
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Common fixed point theorems for a weak distance in complete metric spaces by Jeong Sheok Ume, Sucheol Yi

“…Using the concept of a w-distance, we obtain common fixed point theorems on complete metric spaces. Our results generalize the corresponding theorems of Jungck, Fisher, Dien, and Liu.…”
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Strong Convergence Theorems for Equilibrium Problems and k-Strict Pseudocontractions in Hilbert Spaces by Dao-Jun Wen

“…Our theorems presented in this paper improve and extend the corresponding results announced by many others.…”
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Application of a theoretical simulator to the optimisation of risk-based invasive species surveillance by Thomas I. Gibson, Rebecca S. Millard, Isla MacMillan, Nick Taylor, Mark Thrush, Hannah Tidbury

“…This study implements a theoretical surveillance simulator to model the relative merit of different surveillance strategies with different levels of focus on NIS risk for NIS detection at one or more sites. …”
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Theoretical framework for measuring cloud effective supersaturation fluctuations with an advanced optical system by Y. Kuang, J. Tao, H. Xu, L. Liu, P. Liu, W. Xu, W. Xu, Y. Sun, C. Zhao

“…Therefore, the proposed theory serves as a valuable method for both short-term and long-term cloud microphysics and aerosol–cloud interaction studies.…”
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Convergence Theorems for the Variational Inequality Problems and Split Feasibility Problems in Hilbert Spaces by Panisa Lohawech, Anchalee Kaewcharoen, Ali Farajzadeh

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Comments on “Pythagoras theorem for the point of needle entry: Ultrasound-guided regional blocks” by Wasimul Hoda, Khushboo Pandey, Priyanka Oraon

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RETRACTED: On the Nature of Some Euler’s Double Equations Equivalent to Fermat’s Last Theorem by Andrea Ossicini

Subjects: “…Fermat’s Last Theorem…”
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A Riesz Representation Theorem for the Space of Henstock Integrable Vector-Valued Functions by Tomás Pérez Becerra, Juan Alberto Escamilla Reyna, Daniela Rodríguez Tzompantzi, Jose Jacobo Oliveros Oliveros, Khaing Khaing Aye

“…Using a bounded bilinear operator, we define the Henstock-Stieltjes integral for vector-valued functions; we prove some integration by parts theorems for Henstock integral and a Riesz-type theorem which provides an alternative proof of the representation theorem for real functions proved by Alexiewicz.…”
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THEORETICAL-METHODOLOGICAL ASPECTS OF BACKGROUNDS TO EDUCATIONAL ACTIVITY FORMATION OF PRESCHOOL AGED CHILDREN by Nadejda V. Babinova, Ludmila V. Voronina

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On a functional equation related to a generalization of Flett's mean value theorem by T. Riedel, Maciej Sablik

Subjects: “…Flett's mean value theorem…”
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A Game Theoretic Model for Wireless Sensor Networks with Hidden-Action Attacks by Yuxin Mao, Ping Zhu, Guiyi Wei

“…In this paper, we propose to apply game theory into solving the network security problem of wireless network. …”
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Theoretical studies of the steering hydraulic system of construction and road machines with flow amplifiers by A. V. Zhdanov

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Common Fixed Point Theorems of New Contractive Conditions in Fuzzy Metric Spaces by Jiang Zhu, Yuan Wang, Shin Min Kang

“…Some new limit contractive conditions in fuzzy metric spaces are introduced, by using property (E.A), some common fixed point theorems for four maps are proved in GV-fuzzy metric spaces. …”
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