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Relevant bibliographies by topics / Multivalued function

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Journal articles

Academic literature on the topic 'Multivalued function'

Author: Grafiati

Published: 4 June 2021

Last updated: 12 February 2022

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Journal articles on the topic "Multivalued function"

1

Naimpally, Som. "Multivalued function spaces and Atsuji spaces." Applied General Topology 4, no. 2 (2003): 201. http://dx.doi.org/10.4995/agt.2003.2025.

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<p>In this paper we present two themes. The first one describes a transparent treatment of some of the recent results in graph topologies on multi-valued functions. The study includes Vietoris topology, Fell topology, Fell uniform topology on compacta and uniform topology on compacta. The second theme concerns when continuity is equivalent to proximal continuity or uniform continuity.</p>

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2

HANCER, HATICE ASLAN, MURAT OLGUN, and ISHAK ALTUN. "Some new types multivalued F-contractions on quasi metric spaces and their fixed points." Carpathian Journal of Mathematics 35, no. 1 (2019): 41–50. http://dx.doi.org/10.37193/cjm.2019.01.05.

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In this paper we present two new results for the existence of fixed points of multivalued mappings with closed values on quasi metric space. First we introduce the multivalued Fd-contraction on quasi metric space (X, d) and give a fixed point result related to this concept. Then taking into account the Q-function on a quasi metric space, we establish a Q-function version of this concept as multivalued Fq-contraction and hence we present a fixed point result to see the effect of Q-function to existence of fixed point of multivalued mappings on quasi metric space.

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3

Donaldson, Simon. "Deformations Of Multivalued Harmonic Functions." Quarterly Journal of Mathematics 72, no. 1-2 (2021): 199–235. http://dx.doi.org/10.1093/qmath/haab018.

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Abstract We consider harmonic sections of a bundle over the complement of a codimension 2 submanifold in a Riemannian manifold, which can be thought of as multivalued harmonic functions. We prove a result to the effect that these are stable under small deformations of the data. The proof is an application of a version of the Nash-Moser implicit function theorem.

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4

Leśniak, K. "Infinite Iterated Function Systems: A Multivalued Approach." Bulletin of the Polish Academy of Sciences Mathematics 52, no. 1 (2004): 1–8. http://dx.doi.org/10.4064/ba52-1-1.

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5

Huang, Zongchao, Zhaogong Zhang, and Guanwen Yu. "Multivalued function recognition based on spectral clustering." Journal of Physics: Conference Series 1453 (January 2020): 012145. http://dx.doi.org/10.1088/1742-6596/1453/1/012145.

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6

Ban, Hyunju, and William D. Kalies. "A Computational Approach to Conley’s Decomposition Theorem." Journal of Computational and Nonlinear Dynamics 1, no. 4 (2006): 312–19. http://dx.doi.org/10.1115/1.2338651.

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Background. The discrete dynamics generated by a continuous map can be represented combinatorially by an appropriate multivalued map on a discretization of the phase space such as a cubical grid or triangulation. Method of approach. We describe explicit algorithms for computing dynamical structures for the combinatorial multivalued maps. Results. We provide computational complexity bounds and numerical examples. Specifically we focus on the computation attractor-repeller pairs and Lyapunov functions for Morse decompositions. Conclusions. The computed discrete Lyapunov functions are weak Lyapunov functions and well-approximate a continuous Lyapunov function for the underlying map.

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7

Okeke, Godwin Amechi, та Safeer Hussain Khan. "Approximation of fixed point of multivalued ρ-quasi-contractive mappings in modular function spaces". Arab Journal of Mathematical Sciences 26, № 1/2 (2019): 75–93. http://dx.doi.org/10.1016/j.ajmsc.2019.02.001.

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The purpose of this paper is to extend the recent results of Okeke et al. (2018) to the class of multivalued ρ-quasi-contractive mappings in modular function spaces. We approximate fixed points of this class of nonlinear multivalued mappings in modular function spaces. Moreover, we extend the concepts of T-stability, almost T-stability and summably almost T-stability to modular function spaces and give some results.

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8

Ali, Muhammad Usman, Quanita Kiran та Naseer Shahzad. "Fixed Point Theorems for Multivalued Mappings Involvingα-Function". Abstract and Applied Analysis 2014 (2014): 1–6. http://dx.doi.org/10.1155/2014/409467.

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We obtain some fixed point theorems with error estimates for multivalued mappings satisfying a newα-ψ-contractive type condition. Our theorems generalize many existing fixed point theorems, including some fixed point theorems proved forα-ψ-contractive type conditions.

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9

Ukhobotov, V. I., and V. N. Ushakov. "On one control problem with disturbance and vectograms depending linearly on given sets." Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp'yuternye Nauki 30, no. 3 (2020): 429–43. http://dx.doi.org/10.35634/vm200306.

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A control problem with a given end time is considered, in which the control vectograms and disturbance depend linearly on the given convex compact sets. A multivalued mapping of the phase space of the control problem to the linear normed space E is given. The goal of constructing a control is that at the end of the control process the fixed vector of the space E belongs to the image of the multivalued mapping for any admissible realization of the disturbance. A stable bridge is defined in terms of multivalued functions. The presented procedure constructs, according to a given multivalued function which is a stable bridge, a control that solves the problem. Explicit formulas are obtained that determine a stable bridge in the considered control problem. Conditions are found under which the constructed stable bridge is maximal. Some problems of group pursuit can be reduced to the considered control problem with disturbance. The article provides such an example.

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10

Ransford, Thomas. "On the range of an analytic multivalued function." Pacific Journal of Mathematics 123, no. 2 (1986): 421–39. http://dx.doi.org/10.2140/pjm.1986.123.421.

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