A FIXED POINT THEOREM FOR SOME NON-SELF-MAPPINGS
DOI:
https://doi.org/10.5556/j.tkjm.21.1990.4687Keywords:
Banach space, fixed pointAbstract
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
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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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