Results 61 to 70 of about 295,971 (251)
A fixed point theorem for contraction mappings
International Journal of Mathematics and Mathematical Sciences, 1982 Let S be a closed subset of a Banach space E and f:S→E be a strict contraction mapping. Suppose there exists a mapping h:S→(0,1] such that (1−h(x))x+h(x)f(x)∈S for each x∈S. Then for any x0∈S, the sequence {xn} in S defined by xn+1=(1−h(xn))xn+h(xn)f(xn),
V. M. Sehgal
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Photonics of Topological Magnetic Textures
Advanced Optical Materials, EarlyView.Localized noncollinear magetic textures imprint their geometry and topology onto traversing photonic fields endowing them with orbital angular‐momentum, chirality, and magnetoelectric densities. Abstract Topological textures in magnetically ordered materials are an important case studies for fundamental research with promising applications in data ...
Vakhtang Jandieri +6 more
wiley +1 more source
Lefschetz fixed point theorem for digital images
, 2013 In this article we study the fixed point properties of digital images. Moreover, we prove the Lefschetz fixed point theorem for a digital image. We then give some examples about the fixed point property.
Ozgur Ege, Ismet Karaca
semanticscholar +1 more source
A fixed point theorem for set-valued quasi-contractions in b-metric spaces
Fixed Point Theory and Applications, 2012 In this article, we give a fixed point theorem for set-valued quasi-contraction maps in b-metric spaces. This theorem extends, unifies and generalizes several well known comparable results in the existing literature.
H. Aydi +3 more
semanticscholar +1 more source
Continuum Mechanics Modeling of Flexible Spring Joints in Surgical Robots
Advanced Robotics Research, EarlyView.A new mechanical model of a tendon‐actuated helical extension spring joint in surgical robots is built using Cosserat rod theory. The model can implicitly handle the unknown contacts between adjacent coils and numerically predict spring shapes from straight to significantly bent under actuation forces.
Botian Sun +3 more
wiley +1 more source
Journal of MathematicsWe establish three types of nonlinear fixed point theorems in regular semimetric spaces. First, we generalize Miculescu and Mihail’s result, thereby unifying the Matkowski fixed point theorem and the Istrăţescu fixed point theorem concerning convex ...
Shu-Min Lu, Peng Wang, Fei He
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A fixed point theorem for multivalued mappings
Electronic Journal of Qualitative Theory of Differential Equations, 2004 A generalization of the Leray-Schauder principle for multivalued mappings is given. Using this result, an existence theorem for an integral inclusion is obtained.
C. Avramescu
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Mizoguchi-Takahashi’s Fixed Point Theorem with , Functions
, 2013 We introduce the notion of generalized -admissible mappings. By using this notion, we prove a fixed point theorem. Our result generalizes Mizoguchi-Takahashi’s fixed point theorem. We also provide some examples to show the generality of our work.
M. Ali +3 more
semanticscholar +1 more source
Waveguide Photoactuators: Materials, Fabrication, and Applications
Advanced Robotics Research, EarlyView.Waveguide photoactuators convert guided light into mechanical motion. Their tethered‐flexible design enables minimally invasive surgery and confined‐space robotics. This review aims to guide materials selection, device design, and system integration, accelerating the transition of waveguide photoactuators from laboratory prototypes to versatile ...
Minjie Xi +4 more
wiley +1 more source
A Generalization of Kannan's Fixed Point Theorem
Fixed Point Theory and Applications, 2009 In order to observe the condition of Kannan mappings, we prove a generalization of Kannan's fixed point theorem. Our theorem involves constants and we obtain the best constants to ensure a fixed point.
Yusuke Enjouji +2 more
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