- -

The ε-approximated complete invariance property

RiuNet: Repositorio Institucional de la Universidad Politécnica de Valencia

Compartir/Enviar a

Citas

Estadísticas

  • Estadisticas de Uso

The ε-approximated complete invariance property

Mostrar el registro completo del ítem

García, G. (2022). The ε-approximated complete invariance property. Applied General Topology. 23(2):453-462. https://doi.org/10.4995/agt.2022.16641

Por favor, use este identificador para citar o enlazar este ítem: http://hdl.handle.net/10251/187144

Ficheros en el ítem

Metadatos del ítem

Título: The ε-approximated complete invariance property
Autor: García, Gonzalo
Fecha difusión:
Resumen:
[EN] In the present paper we introduce a generalization of the complete invariance property (CIP) for metric spaces, which we will call the εapproximated complete invariance property (ε-ACIP). For our goals, we will use ...[+]
Palabras clave: Complete invariance property (CIP) , Set of fixed points , Peano continua , Degree of nondensifiability , α-dense curves
Derechos de uso: Reconocimiento - No comercial - Sin obra derivada (by-nc-nd)
Fuente:
Applied General Topology. (issn: 1576-9402 ) (eissn: 1989-4147 )
DOI: 10.4995/agt.2022.16641
Editorial:
Universitat Politècnica de València
Versión del editor: https://doi.org/10.4995/agt.2022.16641
Tipo: Artículo

References

Y. Cherruault and G. Mora, Optimisation Globale. Théorie des Courbes α-denses, Económica, Paris, 2005.

R. Dubey and A. Vyas, Wavelets and the complete invariance property, Mat. Vesnik, 62 (2010), 183-188.

G. García and G. Mora, A fixed point result in Banach algebras based on the degree of nondensifiability and applications to quadratic integral equations, J. Math. Anal. Appl. 472 (2019), 1220-1235. https://doi.org/10.1016/j.jmaa.2018.11.073 [+]
Y. Cherruault and G. Mora, Optimisation Globale. Théorie des Courbes α-denses, Económica, Paris, 2005.

R. Dubey and A. Vyas, Wavelets and the complete invariance property, Mat. Vesnik, 62 (2010), 183-188.

G. García and G. Mora, A fixed point result in Banach algebras based on the degree of nondensifiability and applications to quadratic integral equations, J. Math. Anal. Appl. 472 (2019), 1220-1235. https://doi.org/10.1016/j.jmaa.2018.11.073

G. García and G. Mora, The degree of convex nondensifiability in Banach spaces, J. Convex Anal. 22 (2015), 871-888.

K. H. Heinrich and J. R. Martin, G-spaces and fixed point sets, Geom. Dedicata 83 (2000), 39-61. https://doi.org/10.1023/A:1005246831488

J. R. Martin, Fixed point sets of metric and nonmetric spaces, Trans. Amer. Math. Soc. 284 (1984), 337-353. https://doi.org/10.1090/S0002-9947-1984-0742428-1

J. R. Martin, Fixed point sets of LC∞,C∞ continua, Proc. Amer. Math. Soc. 81 (1981), 325-328. https://doi.org/10.1090/S0002-9939-1981-0593482-4

J. R. Martin, Fixed point sets of Peano continua, Pacific J. Math. 74 (1978), 163-166. https://doi.org/10.2140/pjm.1978.74.163

J. R. Martin and S. B. Nadler, Examples and questions in the theory of fixed point sets, Canad. J. Math. 31 (1979), 1017-1032. https://doi.org/10.4153/CJM-1979-094-5

J. R. Martin and E. D. Tymchatyn, Fixed point sets of 1-dimensional Peano Continua, Pacific J. Math. 89 (1980), 147-149. https://doi.org/10.2140/pjm.1980.89.147

D. Masood and P. Singh, Complete invariance property on hyperspaces, JP J. Geom. Topol. 17 (2015), 83-94. https://doi.org/10.17654/JPGTMay2015_083_094

D. Masood and P. Singh, On equivariant complete invariance property, Sci. Math. Jpn. 77 (2013), 1-6.

S. C. Maury, Hyperspaces and the S-equivariant complete invariance property, Kyungpook Math. J. 55 (2015), 219-224. https://doi.org/10.5666/KMJ.2015.55.1.219

G. Mora, The Peano curves as limit of α-dense curves, Rev. R. Acad. Cienc. Exactas Fís. Nat. Ser. A Math. RACSAM 9 (2005), 23-28.

G. Mora and Y. Cherruault, Characterization and generation of α-dense curves, Computers Math. Applic. 33 (1997), 83-91. https://doi.org/10.1016/S0898-1221(97)00067-9

G. Mora and J. A. Mira, Alpha-dense curves in infinite dimensional spaces, Int. J. Pure Appl. Math. 5 (2003), 437-449.

G. Mora and D. A. Redtwitz, Densifiable metric spaces, Rev. R. Acad. Cienc. Exactas Fís. Nat. Ser. A Math. RACSAM 105 (2011), 71-83. https://doi.org/10.1007/s13398-011-0005-y

M. Rahal, R. Ziadi and A. Ellaia, Generating α-dense curves in non-convex sets to solve a class of non-smooth constrained global optimization, Croatian Operational Research Review 10 (2019), 289-314. https://doi.org/10.17535/crorr.2019.0024

H. Sagan, Space-Filling Curves, Springer-Verlag, New York 1994. https://doi.org/10.1007/978-1-4612-0871-6

L. E. Ward, Fixed point sets, Pacific J. Math. 47 (1973), 553-565. https://doi.org/10.2140/pjm.1973.47.553

S. Willard, General Topology, Dover Pub. Inc., New York 1970.

D. X. Zhou, Complete invariance property with respect to homeomorphism over frame multiwavelet and super-wavelet spaces, Journal of Mathematics 2014 (2014), Article ID 528342, 6 pages. https://doi.org/10.1155/2014/528342

[-]

recommendations

 

Este ítem aparece en la(s) siguiente(s) colección(ones)

Mostrar el registro completo del ítem