A FIXED POINT THEOREM FOR SOME NON-SELF-MAPPINGS

Authors

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

DOI:

https://doi.org/10.5556/j.tkjm.21.1990.4687

Keywords:

Banach space, fixed point

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.

References

N. A. Assad," On some nonself nonlinear contractions," Math. Japonica 33, No.1 (1988), 17-26.

N. A. Assad, "On some nonself mappings in Banach spaces," Math. Japonica 33, No.4 (1988), 501-515.

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.

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Published

1990-12-01

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

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Section

Papers

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