Approximate controllability for a class of fractional semilinear system with instantaneous and non-instantaneous impulses by Yunhao Chu, Yansheng Liu

“…By applying the Kuratowski measure of noncompactness and $ \rho $-set contractive fixed-point theorem, the results for the considered system were obtained. …”
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Fixed Point Results for Multivalued Mappings with Applications by Arshad Khan, Muhammad Sarwar, Farhan Khan, Habes Alsamir, Hasanen A. Hammad

“…In this manuscript, using the concept of multivalued contractions, some new Banach- and Caristi-type fixed point results are established in the context of metric spaces. …”
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Existence and Positivity of Solutions for a Second-Order Boundary Value Problem with Integral Condition by Assia Guezane-Lakoud, Hamidane Nacira, Khaldi Rabah

“…The arguments are based on Banach contraction principle, Leray Schauder nonlinear alternative, and Guo-Krasnosel’skii fixed point theorem in cone. …”
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On the Power of Simulation and Admissible Functions in Metric Fixed Point Theory by Areej S. S. Alharbi, Hamed H. Alsulami, Erdal Karapinar

“…We investigate the existence and uniqueness of certain operators which form a new contractive condition via the combining of the notions of admissible function and simulation function contained in the context of complete b-metric spaces. …”
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Existence and Uniqueness Results for Fractional Differential Equations with Riemann-Liouville Fractional Integral Boundary Conditions by Mohamed I. Abbas

“…The first existence and uniqueness result is based on Banach’s contraction principle. Moreover, other existence results are also obtained by using the Krasnoselskii fixed point theorem. …”
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C⁎-Algebra-Valued G-Metric Spaces and Related Fixed-Point Theorems by Congcong Shen, Lining Jiang, Zhenhua Ma

“…The existence and uniqueness of some fixed-point theorems for self-mappings with contractive or expansive conditions on complete C⁎-algebra-valued G-metric spaces are proved. …”
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Coincidence Points for Expansive Mappings under c-Distance in Cone Metric Spaces by Hassen Aydi, Erdal Karapınar, Sirous Moradi

“…We establish some fixed (common fixed) and coincidence point results for mappings verifying some expansive type contractions in cone metric spaces with the help of the concept of a c-distance. …”
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On Rate of Convergence of Jungck-Type Iterative Schemes by Nawab Hussain, Vivek Kumar, Marwan A. Kutbi

“…We introduce a new iterative scheme called Jungck-CR iterative scheme and study the stability and strong convergence of this iterative scheme for a pair of nonself-mappings using a certain contractive condition. Also, convergence speed comparison and applications of Jungck-type iterative schemes will be shown through examples.…”
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Motor Unit Sampling From Intramuscular Micro-Electrode Array Recordings by Agnese Grison, Jaime Ibanez Pereda, Dario Farina

“…Specifically, we recorded both HD-sEMG and HD-iEMG from the Tibialis Anterior muscle of two healthy subjects at various contraction intensities (10%, 30%, and 70% of maximum voluntary contraction, MVC). …”
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Mechanism and Pharmacodynamic Substance Basis of Raw and Wine-Processed Evodia rutaecarpa on Smooth Muscle Cells of Dysmenorrhea Mice by Yeqian Liu, Hong Li, Lei Chen, Hongxia Zhao, Jian Liu, Shan Gong, Danfeng Ma, Chunming Chen, Shuiqing Zeng, Hongping Long, Weiqiong Ren

“…The in vitro results showed that 7-hydroxycoumarin, chlorogenic acid, and limonin were able to inhibit cell contraction and PGE2, ET-1, P2X3, and Ca2+ in dysmenorrhea mouse uterine smooth muscle cells and increase the content of NO. …”
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Isolation and Characterization of an Adult Stem Cell Population from Human Epidural Fat by Nedaa Al-Jezani, Roger Cho, Anand O. Masson, Brian Lenehan, Roman Krawetz, Frank G. Lyons

“…HEF cells were also assayed through the collagen contraction assay. Prx1CreERT2GFP:R26RTdTomato MSC lineage-tracking mice were employed to identify EF MSCs in vivo. …”
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Convergence of Implicit and Explicit Schemes for an Asymptotically Nonexpansive Mapping in 𝑞-Uniformly Smooth and Strictly Convex Banach Spaces by Meng Wen, Changsong Hu, Zhiyu Wu

“…We introduce a new iterative scheme with Meir-Keeler contractions for an asymptotically nonexpansive mapping in 𝑞-uniformly smooth and strictly convex Banach spaces. …”
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Iterative methods for solving fixed-point problems with nonself-mappings in Banach spaces by Yakov Alber, Simeon Reich, Jen-Chih Yao

“…We prove strong and weak convergences for weakly contractive and nonexpansive maps, respectively. We also establish the stability of these methods with respect to perturbations of the operators and the constraint sets.…”
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Multi-succedent sequent calculus for intuitionistic epistemic logic by Romas Alonderis

“…It is  proved that the structural rules of weakening and contraction and the rule of cut are admissible in the  calculus. …”
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Complete Controllability for Fractional Evolution Equations by Xia Yang, Haibo Gu

“…The paper is concerned with the complete controllability of fractional evolution equation with nonlocal condition by using a more general concept for mild solution. By contraction fixed point theorem and Krasnoselskii's fixed point theorem, we obtain some sufficient conditions to ensure the complete controllability. …”
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Fixed Points Theorems of Multi-Valued Mappings in F-Metric spaces by Mohamed Bouabdelli, Mahmoud Bousselsal

“… We prove existence fixed point results of generalized multi-valued - weak contraction mappings and multivalued mappings satisfying a Reich-type condition in - metric spaces. …”
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Quantitative Electromyographic Analysis of Reaction Time to External Auditory Stimuli in Drug-Naïve Parkinson’s Disease by Do-Young Kwon, Byung Kyu Park, Ji Won Kim, Gwang-Moon Eom, Junghwa Hong, Seong-Beom Koh, Kun-Woo Park

“…The EMG activity of 31 PD patients was recorded during isometric muscle contraction. RT was defined as the time latency between an auditory beep and responsive EMG activity. …”
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Les chargés de TD/TP ont-ils tous les mêmes inquiétudes avant leurs premières interventions face aux étudiants ? by Joelle Demougeot-Lebel, Cathy Perret

“…It’s based on empirical studies contracted in university of Burgundy. Some of these worries are common to all, and some are dependent from conceptions. …”
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On the Existence and Uniqueness Results for Fuzzy Linear and Semilinear Fractional Evolution Equations Involving Caputo Fractional Derivative by Ali El Mfadel, Said Melliani, M’hamed Elomari

“…The existence theorems are proved by using fuzzy fractional calculus, Picard’s iteration method, and Banach contraction principle. As application, we conclude this paper by giving an illustrative example to demonstrate the applicability of the obtained results.…”
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Common fixed points of single-valued and multivalued maps by Yicheng Liu, Jun Wu, Zhixiang Li

“…We define a new property which contains the property (EA) for a hybrid pair of single- and multivalued maps and give some new common fixed point theorems under hybrid contractive conditions. Our results extend previous ones. …”
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