Existence of a solution for a nonlinear integral equation by nonlinear contractions involving simulation function in partially ordered metric space [PDF]
Nonlinear Analysis, 2023 In a recent paper, Khojasteh et al. presented a new collection of simulation functions, said Z-contraction. This form of contraction generalizes the Banach contraction and makes different types of nonlinear contractions.
Parvaneh Lo'Lo' +2 more
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Best Proximity Point Results for Almost Contraction and Application to Nonlinear Differential Equation [PDF]
Sahand Communications in Mathematical Analysis, 2020 Berinde [V. Berinde, Approximating fixed points of weak contractions using the Picard iteration, Nonlinear Anal. Forum {bf 9} (2004), 43-53] introduced almost contraction mappings and proved Banach contraction principle for such mappings. The aim of this
Azhar Hussain +3 more
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Contraction Analysis of Nonlinear DAE Systems [PDF]
IEEE Transactions on Automatic Control, 2021 This paper studies the contraction properties of nonlinear differential-algebraic equation (DAE) systems. Specifically we develop scalable techniques for constructing the attraction regions associated with a particular stable equilibrium, by establishing the relation between the contraction rates of the original systems and the corresponding virtual ...
Hung D. Nguyen 0001 +3 more
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Boundary value problems for nonlinear fractional differential equations and inclusions with nonlocal and fractional integral boundary conditions [PDF]
Opuscula Mathematica, 2013 This paper studies the boundary value problem of nonlinear fractional differential equations and inclusions of order \(q \in (1,2]\) with nonlocal and integral boundary conditions.
Sotiris K. Ntouyas
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Design and Control of a Nonlinear Series Elastic Cable Actuator Based on the Hill Muscle Model
Actuators, 2022 The bionic design of muscles is a research hotspot at present. Many researchers have designed bionic elastic actuators based on the Hill muscle model, and most of them include an active contraction element, passive contraction element and series elastic ...
Yingbing Su +4 more
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Nonlinear Observer Design for a Nonlinear Cable/String FEM Model using Contraction Theory [PDF]
Modeling, Identification and Control, 2004 Contraction theory is a recently developed nonlinear analysis tool which may be useful for solving a variety of nonlinear control problems. In this paper, using Contraction theory, a nonlinear observer is designed for a general nonlinear cable/ string ...
Yilmaz Türkyilmaz, Olav Egeland
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A Coupled Random Fixed Point Result With Application in Polish Spaces [PDF]
Sahand Communications in Mathematical Analysis, 2018 In this paper, we present a new concept of random contraction and prove a coupled random fixed point theorem under this condition which generalizes stochastic Banach contraction principle.
Rashwan Ahmed Rashwan +1 more
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Best Proximity Point for the Sum of Two Non-Self-Operators
Journal of Mathematics, 2020 In the present paper, we focus our attention on the existence of the fixed point for the sum of the cyclic contraction and the noncyclic accretive operator. Also, we study the best proximity point for the sum of two non-self-mappings.
V. Pragadeeswarar, R. Gopi, M. De la Sen
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Fixed point results for ordered S-G-contractions in ordered metric spaces
Nonlinear Analysis, 2018 In this paper, we prove existence and uniqueness of fixed point in the setting of ordered metric spaces. Precisely, we combine the recent notions of (F,φ)-contraction and Z-contraction in order to introduce the notion of ordered S-G-contraction.
Francesca Vetro
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Nonlinear contractions and Caputo tempered impulsive implicit fractional differential equations in b-metric spaces [PDF]
Mathematica Moravica, 2023 This paper deals with some existence and uniqueness results for a class of problems for nonlinear Caputo tempered implicit fractional differential equations in b-Metric spaces with initial nonlocal conditions and instantaneous impulses.
Krim Salim +2 more
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