About DML-CZ | FAQ | Conditions of Use | Math Archives | Contact Us
  Previous |  Up |  Next

Article

Rhoades, B. E.
A fixed point theorem for a multivalued non-self mapping. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 37 (1996), issue 2, pp. 401-404
MSC: 47H10, 54H25 | MR 1399013 | Zbl 0849.47032
Keywords:
multivalued non-self mapping; metrically convex metric space
Summary:
We prove a fixed point theorem for a multivalued non-self mapping in a metrically convex complete metric space. This result generalizes Theorem 1 of Itoh [2].
References:
[1] Blumenthal L.M.: Theory and Applications of Distance Geometry. The Clarendon Press, Oxford, 1943. MR 0054981 | Zbl 0208.24801
[2] Itoh Shigeru: Multivalued generalized contractions and fixed point theorems. Comment. Math. Univ. Carolinae 18 (1977), 247-258. MR 0451227 | Zbl 0359.54038
[3] Nadler S.B., Jr.: Multi-valued contraction mappings. Pacific J. Math. 30 (1969), 475-488. MR 0254828 | Zbl 0187.45002
Partner of
EuDML logo