- -

Existence ofixed points for pointwise eventually asymptotically nonexpansive mappings

RiuNet: Repositorio Institucional de la Universidad Politécnica de Valencia

Compartir/Enviar a

Citas

Estadísticas

  • Estadisticas de Uso

Existence ofixed points for pointwise eventually asymptotically nonexpansive mappings

Mostrar el registro completo del ítem

Radhakrishnan, M.; Rajesh, S. (2019). Existence ofixed points for pointwise eventually asymptotically nonexpansive mappings. Applied General Topology. 20(1):119-133. https://doi.org/10.4995/agt.2019.10360

Por favor, use este identificador para citar o enlazar este ítem: http://hdl.handle.net/10251/118965

Ficheros en el ítem

Metadatos del ítem

Título: Existence ofixed points for pointwise eventually asymptotically nonexpansive mappings
Autor: Radhakrishnan, M. Rajesh, S.
Fecha difusión:
Resumen:
[EN] Kirk introduced the notion of pointwise eventually asymptotically non-expansive mappings and proved that uniformly convex Banach spaces have the fixed point property for pointwise eventually asymptotically non expansive ...[+]
Palabras clave: Fixed points , Pointwise eventually asymptotically nonexpansive mappings , Uniform normal structure , Uniform Opial condition , Duality mappings
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.2019.10360
Editorial:
Universitat Politècnica de València
Versión del editor: https://doi.org/10.4995/agt.2019.10360
Agradecimientos:
The authors would like to thank the anonymous referee for the comments and suggestions. The first author acknowledges the University Grants Commission, New Delhi, for providing financial support in the form of ...[+]
Tipo: Artículo

References

A. G. Aksoy and M. A. Khamsi, Nonstandard Methods in Fixed Point Theory, Springer-Verlag, New York, 1990. https://doi.org/10.1007/978-1-4612-3444-9

J. B. Baillon, R. E. Bruck and S. Reich, On the asymptotic behavior of nonexpansive mappings and semigroups in Banach spaces, Houston J. Math. 4 (1978), 1-9.

M. S. Brodskii and D. P. Milman, On the center of a convex set, Dokl. Akad. Nauk SSSR 59 (1948), 837-840. [+]
A. G. Aksoy and M. A. Khamsi, Nonstandard Methods in Fixed Point Theory, Springer-Verlag, New York, 1990. https://doi.org/10.1007/978-1-4612-3444-9

J. B. Baillon, R. E. Bruck and S. Reich, On the asymptotic behavior of nonexpansive mappings and semigroups in Banach spaces, Houston J. Math. 4 (1978), 1-9.

M. S. Brodskii and D. P. Milman, On the center of a convex set, Dokl. Akad. Nauk SSSR 59 (1948), 837-840.

F. E. Browder, Convergence theorems for sequences of nonlinear operators in Banach spaces, Math. Z. 100 (1967), 201-225. https://doi.org/10.1007/BF01109805

W. L. Bynum, Normal structure coefficients for Banach spaces, Pac. J. Math. 86 (1980), 427-436. https://doi.org/10.2140/pjm.1980.86.427

E. Casini and E. Maluta, Fixed points of uniformly Lipschitzian mappings in spaces with uniformly normal structure, Nonlinear Anal. 9 (1985), 103-108. https://doi.org/10.1016/0362-546X(85)90055-0

G. Emmanuele, Asymptotic behavior of iterates of nonexpansive mappings in Banach spaces with Opial's condition, Proc. Amer. Math. Soc. 94 (1985), 103-109.

G. Li and B. Sims, Fixed point theorems for mappings of asymptotically nonexpansive type, Nonlinear Anal. 50 (2002), 1085-1091. https://doi.org/10.1016/S0362-546X(01)00744-1

K. Goebel and W. A. Kirk, A fixed point theorem for asymptotically nonexpansive mappings, Proc. Amer. Math. Soc. 35 (1972), 171-174. https://doi.org/10.1090/S0002-9939-1972-0298500-3

K. Goebel and W. A. Kirk, Topics in Metric Fixed Point Theory, Cambridge Univ. Press, Cambridge, 1990. https://doi.org/10.1017/CBO9780511526152

J. P. Gossez and E. Lami Dozo, Some geometric properties related to the fixed point theory for nonexpansive mappings, Pac. J. Math. 40 (1972), 565-573. https://doi.org/10.2140/pjm.1972.40.565

T. H. Kim and H. K. Xu, Remarks on asymptotically nonexpansive mappings, Nonlinear Anal. 41 (2000), 405-415. https://doi.org/10.1016/S0362-546X(98)00284-3

W. A. Kirk, A fixed point theorem for mappings which do not increase distances, Amer. Math. Monthly 72 (1965), 1004-1006. https://doi.org/10.2307/2313345

W. A. Kirk, Fixed point theorems for non-Lipschitzian mappings of asymptotically nonexpansive type, Israel J. Math. 17 (1974), 339-346. https://doi.org/10.1007/BF02757136

W. A. Kirk, Remarks on nonexpansive mappings and related asymptotic conditions, J. Nonlinear Convex Anal. 18 (2017), 1-15.

W. A. Kirk and H. K. Xu, Asymptotic pointwise contraction, Nonlinear Anal. 68 (2008), 4706-4712. https://doi.org/10.1016/j.na.2007.11.023

T. C. Lim and H. K. Xu, Fixed point theorems for asymptotically nonexpansive mappings, Nonlinear Anal. 22 (1994), 1345-1355. https://doi.org/10.1016/0362-546X(94)90116-3

P. K. Lin, K. K. Tan and H. K. Xu, Demiclosed principle and asymptotic behavior for asymptotically nonexpansive mappings, Nonlinear Anal. 24 (1995), 929-946. https://doi.org/10.1016/0362-546X(94)00128-5

E. Maluta, Uniformly normal structure and related coefficients, Pac. J. Math. 111 (1984), 357-369. https://doi.org/10.2140/pjm.1984.111.357

Z. Opial, Weak convergence of the sequences of successive approximations for nonexpansive mappings, Bull. Amer. Math. Soc. 73 (1967), 595-597. https://doi.org/10.1090/S0002-9904-1967-11761-0

S. Prus, Banach spaces with the uniform Opial property, Nonlinear Anal. 18 (1992), 697-704. https://doi.org/10.1016/0362-546X(92)90165-B

H. K. Xu, Existence and convergence for fixed points of mappings of asymptotically nonexpansive type, Nonlinear Anal. 16 (1991), 1139-1146. https://doi.org/10.1016/0362-546X(91)90201-B

[-]

recommendations

 

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

Mostrar el registro completo del ítem