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

• Autorzy: James Moloney , Xinlong Weng
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 47H06: Accretive operators, dissipative operators, etc.
• 47H10: Fixed-point theorems

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 1995
• Tom: 116
• Numer: 3
• Strony: 217-223

Daty

wydano

1995

otrzymano

1994-09-27

poprawiono

1995-01-12

Twórcy

autor

James Moloney

• Mathematics Department, Marshall University, Huntington, West Virginia 25755-2560, U.S.A.

autor

Xinlong Weng

• Mathematics Department, Marshall University, Huntington, West Virginia 25755-2560, U.S.A.

Bibliografia

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