A FIXED POINT THEOREM FOR SOME NON-SELF-MAPPINGS

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Published: Dec 1, 1990
DOI: https://doi.org/10.5556/j.tkjm.21.1990.4687
Keywords:
Banach space fixed point

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NADIM A. ASSAD
Department of Mathematics, Birzeit University, Birzeit, P.O. BOX 14, West Bank, Via Israel.

Abstract




A fixed point theorem is proved for continuous mappings from a nonempty closed subset $K$, of a Banach space $X$, into $X$, and which satisfies contractive definition definition (3) and property (a) below.




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How to Cite
ASSAD, N. A. (1990). A FIXED POINT THEOREM FOR SOME NON-SELF-MAPPINGS. Tamkang Journal of Mathematics, 21(4), 387–393. https://doi.org/10.5556/j.tkjm.21.1990.4687
Issue
Vol. 21 No. 4 (1990)
Section
Papers
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References

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N. A. Assad, "A fixed point theorem in Banach space," to appear.

L. E. Blumenthal, Theory and applications of distance geometry, Oxford, 1953.

B. E. Rhoades, "A fixed point theorem for some nonself mappings," Math. Japonica 23, No.4 (1978), 457-459.

M. S. Khan, M. Swaleh, and S. Sessa, "Fixed point theorems by altering distances between the points," Bull. Austral. Math. Seo., 30 (1984), 1-9.