# A fixed point theorem for demicontinuous pseudo-contractions in Hilbert apace

Studia Mathematica (1995)

- Volume: 116, Issue: 3, page 217-223
- ISSN: 0039-3223

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topMoloney, James, and Weng, Xinlong. "A fixed point theorem for demicontinuous pseudo-contractions in Hilbert apace." Studia Mathematica 116.3 (1995): 217-223. <http://eudml.org/doc/216229>.

@article{Moloney1995,

abstract = {Let C be a closed, bounded, convex subset of a Hilbert space. Let T : C → C be a demicontinuous pseudocontraction. Then T has a fixed point. This is shown by a combination of topological and combinatorial methods.},

author = {Moloney, James, Weng, Xinlong},

journal = {Studia Mathematica},

keywords = {demicontinuous map; fixed point},

language = {eng},

number = {3},

pages = {217-223},

title = {A fixed point theorem for demicontinuous pseudo-contractions in Hilbert apace},

url = {http://eudml.org/doc/216229},

volume = {116},

year = {1995},

}

TY - JOUR

AU - Moloney, James

AU - Weng, Xinlong

TI - A fixed point theorem for demicontinuous pseudo-contractions in Hilbert apace

JO - Studia Mathematica

PY - 1995

VL - 116

IS - 3

SP - 217

EP - 223

AB - Let C be a closed, bounded, convex subset of a Hilbert space. Let T : C → C be a demicontinuous pseudocontraction. Then T has a fixed point. This is shown by a combination of topological and combinatorial methods.

LA - eng

KW - demicontinuous map; fixed point

UR - http://eudml.org/doc/216229

ER -

## References

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- [3] K. Deimling, Zeros of accretive operators, Manuscripta Math. 13 (1974), 365-374. Zbl0288.47047
- [4] W. A. Kirk, Remarks on pseudo-contractive mappings, Proc. Amer. Math. Soc. 25 (1970), 821-823. Zbl0203.14603
- [5] R. H. Martin Jr., Differential equations on closed subsets of a Banach space, Trans. Amer. Math. Soc. 179 (1973), 399-414. Zbl0293.34092
- [6] J. J. Moloney, Some fixed point theorems, Glasnik Mat. 24 (1989), 59-76. Zbl0682.47031
- [7] F. P. Ramsey, On a problem of formal logic, Proc. London Math. Soc. (2) 30 (1930), 264-286. Zbl55.0032.04
- [8] X. Weng, Fixed point iteration for local strictly pseudocontractive mappings, Proc. Amer. Math. Soc. 113 (1991), 727-731. Zbl0734.47042

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